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风险投资退出策略选择及股权拍卖机制研究
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摘要
风险投资的蓬勃发展与风险资本的良性循环对高新技术的发展及其向商品的转化具有极大的推动作用,因此,风险投资是经济发展的重要助推器并引起了世界各国政府与企业的高度重视。风险投资退出是风险投资的最后一个阶段,一方面,风险投资退出困难使得风险投资机构难以将其持有的风险企业股权转化为资本形态,风险资本的积淀将严重挫伤投资主体参与风险投资的积极性,长此以往将不利于风险投资市场的整体发展;另一方面,风险投资退出困难成为风险企业高新技术成果转化为商品的障碍,这造成了社会资本的极大浪费,也不利于社会整体资源的优化配置。所以风险投资能否顺利退出对于风险投资的成败具有举足轻重的影响,是风险投资最重要的一个环节。由于退出成本高昂以及信息不对称的客观存在,我国的风险投资业面临着难以退出的突出问题,若这一问题得不到妥善解决,将会严重制约我国风险投资业的发展,甚至将会影响我国整体经济的发展。在上述市场环境下,解决这一问题的关键在于能否找到一种合理有效的风险投资退出方式并使其同时满足退出成本较低、能够有效地规避由信息不对称造成的损失这两个条件。
     拍卖本质上作为一种资源配置方式与价格揭示机制,具有揭示物品的真实价值、实现资源高效配置、降低交易成本、提高交易效率等显著优势,它不但能够以较低的成本达成交易,还能够有效地规避由信息不对称导致的损失,因此对于风险投资退出领域的理论研究与实践操作具有一定的指导意义。鉴于此,考虑到我国风险投资退出市场中的实际情况与现实困难,本文将风险企业股权视为一种特殊的拍卖物品,并尝试运用股权拍卖的方式来实现风险投资的顺利退出。本文的研究目的正是在这一研究背景之下,分析风险投资家在风险投资退出市场中的策略选择规律,并据此设计合理的股权拍卖交易机制来实现风险企业股权的高效配置与风险投资家的收益最大化。
     全文分为八章,形成了各成体系又相互联系的整体,各章的研究内容如下所示:
     第一章主要介绍了本文的研究背景与研究意义,简要地回顾了风险投资的发展历程与重要作用、风险投资难以退出的现状,并明确了本文的研究思路与研究框架。
     第二章阐述了风险投资退出、拍卖理论与博弈论等相关理论的文献综述,这些理论是全文展开研究的主要理论基础。
     第三章主要考虑在风险投资退出市场中存在着多个风险投资家和多个外部投资者的情形,并将其中发生的股权交易活动视为多个买方和多个卖方在宏观市场环境中的双边匹配问题。本章运用双边匹配理论探讨了风险投资家的策略选择规律,分别从股权价格单一属性以及多属性这两个角度展开了研究,并通过多主体仿真技术直观地展示了股权拍卖双边匹配的全过程,仿真结果表明风险投资家群体和外部投资者群体在相应的双边匹配机制下能够达到理想的稳定匹配结果,双边匹配过程不但具有很高的收敛速度,而且能够极大地优化整体匹配效果。
     第四章进一步考虑在某一具体的风险投资退出实践活动当中存在着一个风险投资家和多个外部投资者的情形,这和宏观风险投资退出市场中参与主体的人数有所不同,此外,风险企业家虽然不是股权交易的直接参与主体,却对风险投资家具有一定的约束,此时风险投资家的策略选择规律也将呈现出一定的差异,鉴于此,本章探讨了风险投资家和风险企业家对不同类型外部投资者的选择问题,证明两者的策略选择可能形成博弈困境,并运用量子博弈的相关研究思路来展开研究。
     第五章主要考虑到风险企业股权和一般商品有所不同,由于风险投资具有高风险、高收益的特性,因此股权是一类特殊的拍卖物品。风险投资机构与风险企业家之间通过相互合作、资源共享来共同扶植风险企业发展,这为风险企业股权的未来增值提供了强有力的保障,因此,本章运用风险投资机构与风险企业家之间的协同效应来量化风险企业股权质量属性的价值,并在跨时偏好、关联价值等现实条件下探讨了风险投资退出股权拍卖模型。
     第六章主要借鉴随机微分博弈的研究思路,同时考虑了环境不确定以及竞买人的报价策略连续动态变化这两个现实情况对风险投资退出股权拍卖的出清价格、风险投资家收益期望上确界的影响,风险投资家若要实现自身利益最大化,需要对竞买人有一定的了解,并透露适量的风险企业信息给竞买人。
     第七章主要运用社会网络理论研究外部投资者之间的关系,并据此探讨了外部投资者在社会网络中进行信息传递、交互学习的规律,仿真结果显示,外部投资者在社会网络中的重要性系数处于动态变化过程中,随着社会网络的不断演进与扩张,社会网络体将呈出一定程度的自相似性,同时,在外部投资者的相互作用下,风险投资家能够以非常低的激励成本诱导外部投资者报出其真实估价,最终实现风险投资退出股权拍卖收益最大化。
     第八章对全文的研究内容进行了总结,并对未来的研究工作提出了进一步的展望与规划。
The explosion and virtuous cycle of venture capital gave an enormous impetus in promoting the development of high-tech and its commercial applications, therefore, venture capital is an important economic development booster and has attracted full attention of governments and companies around the world. Venture capital exit is the last stage of venture capital, on the one hand, venture capital exist difficulties make it difficult for the risk investment institutions to translate the risk corporate equity into capital forms, the accumulation of risk capital will seriously pull investment entities' enthusiasms down, continuously for a long time hence, it will be detrimental to the overall development of venture capital market; on the other hand, venture capital exist difficulties could be the obstacle to the transformation of high-tech production to commodities, resulting in a great waste of social capital and is also not conductive to the optimal allocation of the whole social resources. So the opportune exist of venture capital has a significant influence on the success of venture capital and is the most important stage of venture capital. However, since the objective existence of high exit costs and information asymmetry, China's venture capital is faced the outstanding problem of exit difficulties. If the problem can't be settled properly, it will seriously hamper the development of China's venture capital industry, and even affect the overall economic development. In the aforementioned market environment, the key to solving this problem is finding a reasonable and effective risk capital exit that meet the conditions of lowering the exit costs and avoiding the losses caused by asymmetric information.
     Auction is essentially a method of resource allocation and price revelation mechanism, it has the significant advantages of revealing the real value of goods, achieving efficient allocation of resources, reducing transaction costs and improve transaction efficiency and so on, thus has a definite instruct significance to the theoretical research and practice operation in the field of venture capital exit. In view of this, taking the actual situation and the real difficulties of China's venture capital exit market into account, this paper treats risk corporate equity as a special auction items, and uses the method of equity auction to realize the success of venture capital exit. The purpose of this paper is analyzing the strategy selection rules of venture capitalists and accordingly designing reasonable equity auction trading mechanism to achieve efficient allocation of risk corporate equity and the maximum of venture capitalists' returns.
     This paper is divide into eight chapters, each chapter can be formed into single system and connected as a whole, each chapter reads as follows below:
     Chapter Ⅰ introduces the research background and significance of this article, briefly reviews the history and important of venture capital and the status of venture capital exist difficulties, clarifies this paper's research framework.
     Chapter Ⅱ elaborates the related theories of venture capital exit, auction and game theory, these theories constitute the main theoretical basis of this paper.
     Chapter Ⅲ considers the situation of multiple venture capitalists and multiple external investors in the venture capital exit market, and regards the equity trading activities as the process of bilateral matching of these buyers and sellers. First, we use bilateral matching theory designing an equity auction bilateral matching mechanism, graph theory proves that the mechanism has the advantages of realizing incentive compatibility、pareto optimality and protecting venture capitalists. Considering equity's multi-attribute characteristics, we attempt to expand the above-mentioned mechanism into an equity multi-attribute auction bilateral matching mechanism, and Netlogo simulation proves the rationality and effectiveness of the designed mechanism.
     Chapter Ⅳ further considers the situation of one venture capitalist and multiple external investors in a specific venture capital exit, thus the number of participants is different from Chapter Ⅲ. In addition, the risk entrepreneurs, though not directly involved in the equity transaction, but has certain constraints on the venture capitalist, in this condition, venture capitalists' strategy will also present some differences. So we analyzes the choice of venture capitalist and venture entrepreneur towards different types of outside investors, proves the strategic choices of them could become the Prisoner's Dilemma, and analyzes the dilemma using the related ideas of quantum game.
     Chapter Ⅴ introduces the difference of venture capital equity and general merchandise, because of the high-risk, high-yield characteristics of equity, we regard it as a special kind of auction item. venture capitalist and entrepreneur's mutual cooperation resource sharing can help fostering the risk enterprise, which provides a strong guarantee for the corporate equity value-added in the future. Thus, we use synergies between venture capital agent and entrepreneur to quantitative the value of quality attributes of the venture corporate equity, and explore the venture capital exit equity auction model under realistic conditions of intertemporal preferences、 associated value and so on.
     Chapter Ⅵ mainly uses the ideas of stochastic differential game, and considers the influences of environmental uncertainty and the continuous dynamic changing bidding strategies on the equity clearing price and the expected maximum avenue od venture capitalists. To maximize their own interests, the venture capitalists need to have some knowledge of the bidders, and reveal the right amount of information of the risk enterprise to the bidder.
     Chapter Ⅶ uses social network theory to study the relationship between outside investors, and explores the law of information transmission and interactive learning of outside investors. The simulation results show that the importance factors of outside investors are in a dynamic changing process, and with the continuous evolution and expansion of social networks, it demonstrates a certain degree of self-similarity. At the same time, with the influence of external investors'interaction, venture capitalists can induce the outside investors reveal their true valuation with very low incentive costs, and ultimately realize the maximum avenue.
     Chapter Ⅷ summarizes the whole article, and forecasts the future research work.
引文
[1]Abdulkadiroglu A, T. Sonmez. School choice:a mechanism design approach [J].American Economic Review,2003,93(1):729-747.
    [2]Abdulkadiroglu A, Tayfun S. House Allocation with Existing Tenants[J]. Journal of Economic Theory,1999,88(2):233-260.
    [3]Abdulkadiroglu A, Tayfun S. School choice:a mechanism design approach[J]. American Economic Review,2003,93(3):729-747.
    [4]Abdulkadiroglu A, Pathak P A, Roth A E, et al. The Boston public school match[J]. American Economic Review,2005,95(2):368-371.
    [5]Abell P, Nisar T M. Performance effects of venture capital firm networks[J]. Management Decision,2007,45(5):923-936.
    [6]Adler P S, Kwon S W. Social capital:prospects for a new concept[J]. Academy of Management Review,2002,27(11):17-40.
    [7]F. Akaichi F, Gil J M. Nayga Jr. Short communication. Bid affiliation in repeated random nth price auction[J]. Spanish Journal of Agricultural Research,2011,9(1):22-27.
    [8]Aldrich H, Zimmer C, Jones T. Small business still speaks with the same voice:a replication of survival[J]. Sociological Review,1986,34:335-356.
    [9]Amegashie J A, Runkel M. The paradox of revenge in conflicts[J]. Journal of Conflict Resolution, Peace Science Society (international),2012,56(2):313-330.
    [10]Anirban C, Ioane M T, Marco P, et al. Econophysics review:Ⅱ. Agent-based models[J]. Quantitative Finance,2011,11(7):1013-1041.
    [11]Ansoff H I. Corporate strategy[M]. New York, MaGraw-Hill,1965.
    [12]Armin S. Innovation and venture capital exits[J]. The Economic Journal,2008,118(533): 1888-1916.
    [13]Armstrong M P. Requirements for the development of GIS-based group decision-support systems[J]. Journal of the American Society for Information Science,1994,45(9):669-677.
    [14]Armstrong M. Optimal multi-object auction[J]. Review of Economic Studies,2000,67(3): 455-481.
    [15]Arrow K J. Gift and exchanges[J]. Philosophy and Public Affairs,1972,1(2):343-362.
    [16]Ausubel L M. An efficient ascending-bid auction for multiple objects[J]. The American Economic Review,2004,94(5):1452-1475.
    [17]Bacharach M. Group decisions in the face of difference of opinion[J]. Management Science, 1975,22(2):182-191.
    [18]Bajari P, Hong H, Ryan S P. Identification and estimation of a discrete game of complete information[J]. Econometrica,2010,78(5):1529-1568.
    [19]Barnes J A. Class and committees in a Norwegian island parish[J]. Human Relations,1954, 7(1):39-58.
    [20]Becker G S, Casay B M. The endogenous determination of time preference[J]. Quarterly Journal of Economics,1997,112(3):729-758.
    [21]Benjamin S.C. Comment on:a quantum approach to static games of complete information[J]. Physics Letters A,2000,277 (3):180-182.
    [22]Bertoni F, Colombo M G, Grilli L. Venture capital financing and the growth of high-tech start-ups:Disentangling treatment from selection effects[J]. Research Policy,2011,40(7): 1028-1043.
    [23]Birkinshaw J, Bresman H, Hakanson L. Managing the post-acquisition integration process: how the human integration and task integration processes interact to foster value creation[J]. Journal of Management Studies,2000,37(3):395-425.
    [24]Black B, Gilson R. Venture capital and the structure of capital markets:bank versus stock markets[J]. Journal of Financial Economics,1998,47(3):243-277.
    [25]Black D. The theory of committees and elections[M]. Cambridge:Cambridge University Press,1958.
    [26]Black F, Scholes M. The Pricing of Options and Corporate Liabilities[J]. Journal of Political Economy,1973,81(3):637-654.
    [27]Bleh D, Calarco T, Montangero S. Quantum game of life[J]. Europhysics Letters,2012,97(2): 20012-20016.
    [28]Bogart K P. Preference structures Ⅱ:distance between transitive preference relations[J]. The Journal of Mathematical Sociology,1973,3(1):49-67.
    [29]Bogart K P. Preference structures Ⅱ:distance between transitive preference relations[J]. Journal of Applied Mathematics,1975,29(2):254-262.
    [30]Bourdieu P. The forms of capital[A]. In:Richardson, J.G. (Ed.), Handbook of Theory and Research for the Sociology of Education[C]. New York:Greenwood Press,1986, pp. 241-258.
    [31]Brindha G R, Anand S, Prakash S, et al. Optimization of task allocation using quantum game theory with artificial intelligence[J].2012, Proceedings of the international conference on information systems design and intelligent applications 2012 (India,2012), Held in visakhapatnam, India.
    [32]Browne S. Survival and growth with a liability:optimal portfolio strategies in continuous time[J]. Mathematics of Operations research,1997,22(2):468-496.
    [33]Buchanan M. Small world, uncovering nature's hidden networks[M]. London:Wedenfeld Nicholson,2002.
    [34]Buckdahn R, Cardaliaguet P, Quincampoix M. Some recent aspects of differential game theory[J]. Dynamic games and applications,2011,1(1):74-114.
    [35]Burt R S. Structural holes:the social structure of competition[M]. Harvard:Harvard University Press,1995.
    [36]Cardaliaguet P, Rainer A. Games with incomplete information in continuous times and for continuous types[J]. Dynamic Games and Applications,2012,2(2):206-227.
    [37]Charles A H, Susan K L. Risk aversion and incentive effects[J]. The American Economic Review,2002,92(5):1644-1655.
    [38]Chen J. Development of Chinese small and medium-sized enterprises[J]. Journal of Small Business and Enterprise Development,2006,13(2):140-147.
    [39]Coleman J S. Social theory, social research, and a theory of action[J]. American Journal of Sociology,1986,91(6):1309-1335.
    [40]Coleman J S. Foundations of social theory[M]. Cambridge:Harvard University Press.1990.
    [41]Cripps M, Ireland N. The design of auctions and tenders with quality thresholds:the symmetric case[J]. Economic Journal,1994,104(423):316-326.
    [42]Cumming D, Johan S. Information asymmetries, agency costs and venture capital exit outcomes[J]. Venture Capital:An International Journal of Entrepreneurial Finance,2008, 10(3):197-231.
    [43]Cumming D J, Macintosh J G. Venture capital investment duration in Canada and the United States[J]. Journal of Multinational Financial Management,2001,11(4-5):445-463.
    [44]Daniel E, Seale A. Strategic play and adaptive learning in the sealed-bid bargaining mechanism[J]. Journal of Mathematical Psychology,1998,42(23):133-166.
    [45]David S. Auctions and regulation:reengineering of regulatory mechanisms[J]. Journal of Regulatory Economics,2000,17(3):195-204.
    [46]De Clercq F. Policy mediation and leadership:Insights from provincial implementers of South African school evaluation policies[J]. Southern African Review of Education,2010,16(2): 100-116.
    [47]De Clercq D, Dimov D. Internal knowledge development and external knowledge access in venture capital industry[J]. Academy of Management Journal,2010,53(2):390-410.
    [48]Deffuant G, Neau D, Amblard F. Mixing beliefs among interacting agents[J]. Advances in Complex Systems,2000,3(1):87-98.
    [49]Deli DN, Santhanakrishnan M. Syndication in venture capital financing[J]. Financial Review, 2010,45(3):557-578.
    [50]DeSanctis G, Poole M. Capturing the complexity in advanced technology use:adaptive structuration theory[J]. Organization Science,1994,5(2):121-147.
    [51]Dirk H, Stefano B. Fundamental and real-world challenges in economics[J]. Science and Culture,2010,76(9-10):399-417.
    [52]Dubins L E, Freedman D A. Machiavelli and the Gale-Shapley algorithm[J]. American Mathematical Monthly,1981,88(7):485-494.
    [53]Ehlers L. Klaus B. Resouece-monotonicity for house allocation problems[J]. International Journal of Game Theory,2003,32(4):545-560.
    [54]Eisert J, Wilkens M, Lewenstein M. Quantum games and quantum strategies[J]. Physical Review Letters,1999,83(15):3077-3080.
    [55]Engwerda J. Necessary and sufficient conditions for Pareto optimal solutions of cooperative differential games[J]. SIAM Journal on Control and Optimization,2007,48(6):3859-3881.
    [56]Esther D, Rina A S, Sarit K. Protocols and strategies for automated multi-attributes auctions[C]. The 1st Conference on Autonomous Agents and Multi-agent Systems Proceedings, Bologna, Italy.2002:77-85.
    [57]Ewald C O, Xiao Y J. Information:price and impact on general welfare and optimal investment. An anticipative stochastic differential game model[J]. Advances in Applied probability,2011,43(1):97-120.
    [58]Fama E F. The behavior of stock-market prices[J]. The Journal of Business,1965,38(1): 34-105.
    [59]Fishburn P C. Notes on craven's conjecture[J]. Social Choice and Welfare,1992, 9(3):225-262.
    [60]Fleiner T. A fixed-point approach to stable matchings and some applications[J]. Mathematics of Operations Research,2003,28(1):103-126.
    [61]Fleming W H, Souganidis PE. On the existence of value functions of two-player zero sum stochastic differential games[J]. Indiana University Mathematics Journal,1989,38(2): 293-314.
    [62]Flitney A P, Abbott D. Advantage of a quantum player over a classical one in a 2×2 quantum games[J]. Royal Society of London Proceedings Series A,2003,459(2038):2463-2474.
    [63]Foss N, Iversne M. Promoting synergies in multiproduct firms:toward a resource-based view[EB/OL].1997, http://EconPapers.repec.org/RePEc:ivs:iivswp:97-12.
    [64]Foss N J. Opportunism, organizational economics and the network approach[J]. Scandinavian Journal of Management,1996,12(2):189-205.
    [65]Foss N J. Networks, capabilities, and competitive advantage[J]. Scandinavian Journal Management,1999,15(1):1-15.
    [66]Friedman L. A competitive bidding strategy[J].Operations Research,1956,4(3):104-112.
    [67]Gale D, Shapley L S. College admissions and the stability of marriage[J]. The American Mathematical Monthly,1962,69(1):9-15.
    [68]Gibbs J W. Elementary Principles in Statistical Mechanics[M]. Yale:Yale University Press, 1902.
    [69]Graham D A, Marshall R C. Collusive bidder behavior at single-object second-price and English auctions[J]. Journal of Political Economy,1987,95(6):1217-1239.
    [70]Granovetter M S. The strength of weak ties[J]. American Journal of Sociology,1973,78(6): 1360-1380.
    [71]Granovetter M S. Economic action and social structure:the problem of embeddedness[J]. American Journal of Sociology,1985,91(3):481-510.
    [72]Granovetter M S, Swedberg R. The sociology of economic life[M]. Boulder CO:Westview Press,1992.
    [73]Goode B J, Roan M J. A differential game theoretic approach for two-agent avoidance with travel limitations[J]. Journal of Intelligent & Robotic Systems,2012,67(3-4):201-218.
    [74]Gordon C M, Richard M. Why has the investment performance of technology-specialist, European venture capital funds been so poor?[J]. Research Policy,1998,27(9):947-976.
    [75]Gulati R, Nohria N, Zaheer A. Strategic networks[J]. Strategic Management Journal,2000, 21(3):203-215.
    [76]Gupta M, Lebrun B. First price suctions with resale[J]. Economics Letters,1999,64(2): 181-185.
    [77]Guth W D, Ginsberg A. Guest editors' introduction:corporate entrepreneurship[J]. Strategic Management Journal,1990,11(5-6):5-15.
    [78]Haken W. Theorie der Normalflachen[J]. Acta Mathematica,1961,105(3-4):245-375.
    [108]Harris M, Raviv A. Allocation mechanisms and the design of auctions[J]. Econometrica, 1981,49(6):1477-1499.
    [79]Harstad R M. Endogenous Competition Alters the Structure of Optimal Auctions[EB/OL]. 2011, http://ssrn.com/abstract=1922432 or http://dx.d0i.0rg/10.2139/ssrn.1922432.
    [80]He X L, Prasad A, Sethi S. Cooperative advertising and pricing in a dynamic stochastic supply chain:feedback stackelberg strategies[J]. Production and Operations Management,2009, 18(1):78-94.
    [81]Hellman T. IPOs, acquisitions and the use of convertible securities in venture capital[J]. Journal of Financial Economics,2006,8(3):649-679.
    [82]Hendricks K, Porter R H. Collusion in auctions[J]. Annals Economics and Statistics,1989,15(16):217-230.
    [83]Hills G E, Lumpkin G T, Singh R P. Opportunity recognition:Perceptions and behaviors of entrepreneurs[A]. In P.D. Reynolds, W.D. Carter, P. Davidsson, W.B. Gartner, and P. McDougall(Eds.). Frontiers in Entrepreneurship Research[C]. Wellesley, Massachusetts: Babson College,1997, pp,330-344.
    [84]Ho Y C. Optimal terminal maneuver and evasion strategy[J]. SIMA Journal on Control,1966, 4(3):421-428.
    [85]Hui Li, Jiangfeng Du, Massar S. Continuous-variable quantum games[J]. Physics Letters A, 2002,306(213):73-78.
    [86]Hwang C L, Lin M J. Group decision making under multiple criteria, methods and applications[M]. Berlin:Springer-Verlag,1987.
    [87]Hwang J S. The algebra of stable marriages[J]. International Journal of Computer Mathematics,1986,20(3-4):227-243.
    [88]Iqal A, Toor A H. Evolutionary stable strategies in quantum games[J]. Physics letters A,2001, 280(5-6):249-256.
    [89]Iqbal A, Toor A H. Quantum cooperative games[J]. Physics Letters A,2002,293(3-4): 103-108.
    [90]Isaacs R.1951, Games of Pursuit. The Rand Corporation, Santa Monica, CA, PP:257.
    [91]Isaacs R. Differential games[M]. New York:Wiley,1965.
    [92]Ito K. On stochastic differential equations[J]. Memoirs of the American Mathematical Society, 1951,4:1-51.
    [93]Ivanov V I, Xie F. Do corporate venture capitalists add value to start-up firms? evidence from IPOs and acquisitions of VC-backed companies[J]. Financial Management,2010,39(1): 129-152.
    [94]Jacobmeier D. Multidimensional consensus model on a Barabasi-Albert network[J]. International Journal of Modern Physics C,2004,16(4):633-646.
    [95]Janssen M, Verbraeck A. Comparing the strengths and weaknesses of Internet-based matching mechanisms for the transport market[J]. Transportation Research Part E,2008,44(3): 475-490.
    [96]Jehiel P. Manipulative auction design[J]. Theoretical Economics,2011,6(2):185-217.
    [97]Jeremy B, Paul K. Auctions versus negotiations[J]. The American Economic Review,1996, 86(1):180-194.
    [98]Jiangfeng Du, Hui Li, Xiaodong Xu, et al. Experimental realization of the quantum games on a computer[J]. Physical Review Letters,2002,88(13):137902-137905.
    [99]Jiangfeng Du, Xiaodong Xu, Hui Li, et al. Entanglement playing a dominating role in quantum games[J]. Physics Letters A,2001,289(1-2):9-15.
    [100]J(?)rgensen S, Zaccour G. Development in differential game theory and numerical methods: economic and management applications[J]. Computational Management Science,2007,4(2): 159-181.
    [101]Kakutani S. Two dimensional Brownian motion and harmonic functions[J]. Proceedings of the Japan Academy, Series A, Mathematical Sciences,1944,20(10):706-714.
    [102]Kamihigashi T. Externalities and nonlinear discounting:Indeterminacy[J]. Journal of Economic Dynamics and Control,2002,26(1):141-169.
    [103]Kaneko M. The central assignment game and the assignment markets[J]. Journal of Mathematical Economics,1982,10(2-3):205-232.
    [104]Karatzas I, Shreve S. Brownian motion and stochastic calculus[M]. New York: Springer-Verlag,1991.
    [105]Kay-Yut C, Tad H. How well do people play a quantum prisoner's dilemma?[J]. International Journal of Quantum Information,2007,5(5):751-780.
    [106]Keeney P L. Decision analysis:an overview[J]. Operations Research,1982,30(5):803-836.
    [107]Keller A A. Population biology models with time-delay in a noisy environment[J]. WSEAS Transactions on Biology and Biomedicine,2011,8(4):113-127.
    [108]Kenji F. A Stackelberg game model of dynamic duopolistic competition with sticky prices[J]. Economics Bulletin,2006,12(12):1-9.
    [109]Kim K, Tse E. Dynamic competition strategy for online knowledge-sharing platforms[J]. International Journal of Electronic Commerce,2011,16(1):43-79.
    [110]Kogan S, Morgan J. Securities auctions under moral hazard:an experimental study[J]. Review of Finance,2010,14(3):477-520.
    [111]Koka B R, Madhavan R. The evolution of interfirm networks:environmental effects on patterns of network change[J]. The Academy of Management Review Archive,2006,31(3): 721-737.
    [112]Korkmaz I, Hadi G, Tahsin C. An analytic hierarchy process and two-sided matching based decision support system for military personnel assignment[J]. Information Sciences,2008, 178(14):2915-2927.
    [113]Kovalov P, Linetsky V. Valuing convertible bonds with stock price, volatility, interest rate, and default risk[BE/OL]. FDIC Center for Financial Research,2008, Available at SSRN: http://ssrn.com/abstract=1113385.
    [114]K.reps D, Wilson R. Reputation and imperfect information [J]. Journal of Economic Theory, 1982,27(2):253-279.
    [115]Krzysztof M. Truth seekers in opinion dynamics models[J]. International Journal of Modern Physics C,2006,17(10):1521-1524.
    [116]Kushner H J, Dupuis P G. Numerical methods for stochastic control problem in continuous time(second ed)[M]. New York:Springer-Verlag,2001.
    [117]Laibson D. A cue-theory of consumption [J]. Quarterly Journal of Economics,2001,116(1): 81-119.
    [118]Lehmann E. Does venture capital sundication spur employment growth and sharehold value? Evidence from German IPO data[J]. Small Business Economics,2006,26(5):455-464.
    [119]Lerner J. The syndication of venture capital investments[J]. Financial Management,1994, 23(3):829-859.
    [120]Lerner J. Venture capitalists and the oversight of private firms[J]. The Journal of Finance, 1995,50(1):301-318.
    [121]Lerner M J. Evaluation of performances as a function of performer's reward and attractiveness[J]. Journal of Personality and Social Psychology,1965,95(1):355-360.
    [122]Levin J D, Smith J L. Optimal reservation prices in auctions[J]. The Economic Journal, 1996,106(438):1271-1283.
    [123]Lim A E M, Shanthikumar J G. Relative entropy, exponential utility, and robust dynamic pricing[J]. Operation Research,2007,55(2):198-214.
    [124]Lim A E B, Zhou X Y. Mean-variance portfolio selection with random parameters in a complete market[J]. Mathematics of Operations Research,2002,27(1):101-120.
    [125]Lindsey L. Blurring firm boundaries:the role of venture capital in strategic alliances[J]. Journal of Financial,2008,63(3):1137-1168.
    [126]Liu P T. On the problem of stochastic differential games[J]. Journal of Optimazation theory and Applications,1976,18(1):65-71.
    [127]Lucas R. Econometric policy evaluation:a critique[A]. In K. Brunner, A.H. Meltzer. The Phillips Curve and Labor Markets[C]. Amsterdam:North-Holand,1976, pp,19-46.
    [128]Luca M, Tullio W. A quantum approach to static games of complete information[J]. Physics Letters A,2000,272(516):291-303.
    [129]Luce R D, Raiffa H. Games and decisions[M]. New York:Wiley,1958.
    [130]Markowitz H M. Portfolio Selection[J]. Journal of Finance,1952,7(1):77-91.
    [131]Mancur O. The logic of collective action:public goods and the theory of groups[M]. Harvard: Harvard University Press,1965.
    [132]Marakas G M. Decision support system in the twenty first century[M]. Englewood Cliffs, NJ: Prentice Hall,1999.
    [133]Marechal F. First-price vs second-price auctions under risk aversion and private affiliated values[J]. Economics Bulletin,2011,31(2):1765-1771.
    [134]Marinatto L, Weber T. A quantum approach to static games of complete information[J]. Physics Letters A,2000,272(5-6):291-303.
    [135]Mark S G. The strength of weak ties[J]. American Journal of Sociology,1973,78(6): 1360-1380.
    [136]Maskin E S, Riley J G. Optimal multi-unit auctions[A]. In Hahn,F. The economics of missing markets, information,and games[C]. Oxford:Oxford University Press,1989, pp,312-335.
    [137]Mattews S A. Comparing auctions for risk-averse buyers:a buyer's point of view[J]. Econometrica,1987,55(3):633-646.
    [138]McAfee R P, McMillan J, Reny P J. Extracting the surplus in the common-value auction[J]. Econometrica,1989,57(6):1451-1459.
    [139]McArthur J. Mergers and acquisitions:the human factor[J]. Handbook of Business Strategy, 2000,1(1):217-223.
    [140]Merton R C. Lifetime portfolio selection under uncertainty:the continuous-time case[J]. The Review of Economics and Statistics,1969,51(3):247-257.
    [141]Merton R C. Theory of rational option pricing[J]. The Bell Journal of Economics and Management Science,1973,4(1):141-183.
    [142]Merton R C. On the pricing of corporate debt:the risk structure of interest rates[J]. Journal of Finance,1974,29(2):449-470.
    [143]Meyer D A. Quantum strategy[J]. Physical Review Letters,1999,82(5):1052-1055.
    [144]Mitchell J C. The concept and use of social networks[M]. Bobbs-Merrill,1969.
    [145]Milgrom P. Putting auction theory to work:the simultaneous ascending auction[J]. Journal of Political Economy,2000,108(2):245-272.
    [146]Milgrom P R, Weber R J. A theory of auctions and competitive bidding[J]. Econometrica: Journal of the Econometric Society,1982,50(2):1089-1122.
    [147]Myerson R B. Incentive Compatibility and the Bargaining Problem[J]. Econometrica,1979, 47(1):61-74.
    [148]Myerson R B. Optimal auction design[J]. Mathematics of Operations Research,1981, 6(1):58-73.
    [149]Nan Lin. Conceptualizing Social Support, in Social Support, Life Events, and Depression[M]. Florida:Academic Press,1986.
    [150]Nawaz A, Toor A H. Dilemma and quantum battle of sexes[J]. Journal of Physics A, Mathematical and general,2004,37(15):4437-4443.
    [151]Nawaz A, Toor A H. Quantum games and quantum discord[BE/OL].2010, http://arxiv.org/abs/1012.1428.
    [152]Noussai C. Equilibria in a multi-object uniform Price sealed bid auction with multi-unit demand[J]. Economics Theory,1995,23(5):337-351.
    [153]Olsen R A. Research elsewhere[J]. The Journal of Behavioral Finance,2005,6(3):161-164.
    [154]Ostrom E, Ahn T K. Foundations of Social Capital[M]. Cheltenham, UK:Edward Elgar Publichers,2003.
    [155]Ozdemir S K, Shimamura J, Imoto N. A necessary and sufficient condition to play games in quantum mechanical settings[J]. New Journal of Physics,2007,9(2):43-56.
    [156]Pais J, Pinter A. School choice and information:An experimental study on matching mechanisms[J]. Games and Economic Behavior,2008,64(1):303-328.
    [157]Palfrey T R. Bundling decisions by a multi-product monopolist with incomplete information[J]. Econometrica,1983,51(2):463-483.
    [158]Panzar J C, Willig R D. Economies of scope[J]. The American Economic Review,1981, 71(2):268-272.
    [159]Piotrowski E W, Sladkowski J. Quantum bargaining games[J]. Physica A,2002,308(1-4): 391-401.
    [160]Piotrowski E W, Sladkowski J, Syska J. Interference of quantum market strategies[J]. Physica A,2003,318(3-4):516-528.
    [161]Piotrowski E W, Sladkowski J. Quantum diffusion of prices and profits[J]. Physica A,2005, 345(1-2):185-195.
    [162]Porter M E. Competitive advantage:creating and sustaining superior performance[M]. New York:Free Press,1985.
    [163]Preiss T, Hentze M W. From factors to mechanisms:translation and translational control in eukaryotes[J]. Current Opinion in Genetics & Development,1999,9(5):515-521.
    [164]Rahaman R, Majumdar P, Basu B. Quantum Cournot equilibrium for the Hotelling-Smithies model of product choice[BE/OL].2012, http://arXiv preprint arXiv:1202.2283.
    [165]Ramachandran K M. Stochastic differential games with multiple modes and a small parameter[J]. Stochastic Analysis and Application,2006,24(5):913-928.
    [166]Rao C, Zhao Y, Chen Y. Optimal multi-attribute auctions for divisible goods[J]. International Journal of Information Technology & Decision Making,2011,15(5):891-911.
    [167]Rassenti S J, Smith V L, Bulfin R L. A combinatorial auction mechanism for airport time slot allocation[J]. Bell Journal of Economics,1982,13 (2):402-417.
    [168]Reny P J. On the existence of monotone pure-strategy equilibria in Bayesian games[J]. Econometrica,2011,79(2):499-553.
    [169]Reny P J. Strategic approximations of discontinuous games[J]. Economic Theory,2011, 48(1):17-29.
    [170]Riley J G, Samuelson W F. Optimal auctions[J]. American Economic Review,1981,71(3): 381-392.
    [171]Roberto C, Luca L. A differential oligopoly game with differentiated goods and sticky prices[J]. European Journal of Operational Research,2007,176(2):1131-1144.
    [172]Ross S A. The arbitrage theory of capital asset pricing[J]. Journal of Economic Theory,1976, 13(3):341-360.
    [173]Roth A E, Postlewaite A. Weak versus strong domination in a market with indivisible goods[J]. Journal of Mathematical Economics,1977,4(2):131-137.
    [174]Roth A E. The evolution of the labor market for medical interns and residents:a case study in game theory[J]. Journal of Political Economy,1984,92(6):991-1016.
    [175]Roth A E. The college admissions problem is not equivalent to the marriage problem[J]. Journal of Economic Theory,1985,36(2):277-288.
    [176]Roth A E. New physicians:a natural experiment in market organization[J]. Science,1990, 250(4987):1524-1528.
    [177]Roth A E. A natural experiment in the organization of entry-level labor markets:regional markets for new physicians and surgeons in the united kingdom[J]. American Economic Review,1991,81(3):414-440.
    [178]Samuelson C D, Messick D M. Alternative structural solutions to resource dilemmas[J]. Organizational Behavior and Human Decision Processes,1986,37(1):139-155.
    [179]Sarkar J, Sarkar S. Multiple board appointments and firm performance in emerging economics:evidence from India [J]. Pacific-Basin Finance Journal,2009,17(2):271-293.
    [180]Schwienbacher A. Innovation and capital exits[J]. The Economic Journal,2008,118(533): 1888-1916.
    [181]Shapley L, Scarf H. On cores and indi visibility [J]. Journal of Mathematical Economics,1974, 1(1):23-28.
    [182]Sharpe W F. Capital asset prices:a theory of market equilibrium under conditions of risk[J]. Journal of Finance,1964,19(3):425-442.
    [183]Sheppard J M. Colearning in differential games[J]. Machine Learning,1998,33(2-3): 201-233.
    [184]Simon H A. Administrative behavior[M]. New York:The Free Press,1947.
    [185]Simon H A. The new science of management decision[M]. New York:Harper & Row,1960.
    [186]Sirower M L. The synergy trap:how companies lose the acquisition game?[M]. New York: Free Press,1997.
    [187]Smith V L. Rationality in economics[M]. Cambridge:Cambridge University Press,2007.
    [188]Sobel J. Interdependent preferences and reciprocity[J]. Journal of Economic Literature,2005, 43(2):396-440.
    [189]Sorensen M. How smart is smart money? A two-sided matching model of venture capital[J]. The Journal of Finance,2007,62(6):2725-2761.
    [190]Sorenson O, Stuart T E. Syndication networks and the spatial distribution of venture capital investment[J]. American Journal of Sociology,2001,106(6):1546-1588.
    [191]Sun M, Lu D W, Ju C Y, et al. An applicable multi-player's quantum market game[J]. Journal of University of Science and Technology of China,2012,42(4):259-264.
    [192]Tayfun S. Manipulation via capacities in two-sided matching markets[J]. Journal of Economic Theory,1997,77(1):197-204.
    [193]Teo C P, Sethuraman J, Tan W P. Gale-shapley stable marriage problem revisited:Strategic issues and applications[J]. Management Science,2001,47(9):1252-1267.
    [194]Tichy N M, Tushman M L, Fombrun C. Social network analysis for organization[J]. Academy of Management Review,1979,4(4):507-519.
    [195]Toda M. Monotonicity and Consistency in Matching Markets[J]. International Journal of Game Theory,2006,34(1):13-31.
    [196]Tsai W. Social Capital, Strategic Relatedness and the Formation of Intraorganizational Linkages[J]. Strategic Management Journal,2000,21(9):925-939.
    [197]Ulanowicz R E, Norden J S. Symmetrical overhead in flow networks[J]. International Journal of Systems Science,1990,21(2):429-437.
    [198]Vickrey W. Counterspeculation, auctions and competitive sealed tenders[J]. Journal of Finance,1961,16(1):8-37.
    [199]von Neumann J. On the theory of games of strategy[J]. Mathematische Annalen,1928, 100(1):295-320.
    [200]von Neumann J, Morgenstern O. Theory of games and economic behavior[M]. Princeton: Princeton University Press,1944.
    [201]Wang W K, Ewald C O. A stochastic differential fishery game for a two species fish population with ecological interaction[J]. Journal of Economic Dynamics and Control,2010, 34(5):844-857.
    [202]Wang W K, Ewald C O. Dynamic voluntary provision public goods with uncertainty:a stochastic differential game model[J]. Decision in Economics and Finance,2010,33(2): 97-116.
    [203]Wasserman S, Faust K. Social network analysis:methods and applications[J]. Cambridge: Cambridge University Press,1994.
    [204]Wellman B. Social structures:a network approach[M]. Cambridge:Cambridge University Press,1988.
    [205]Wiggins J B. Optiom values under stochastic volatility:theory and empirical estimates[J]. Financial Economics,1987,19(2):351-372.
    [206]William D B, Jeffry A T. Venture capital at the crossroads[M]. Harvard:Harvard Business Press,1992.
    [207]Wong W K, Zeng X H, Au W M R, et al. A fashion mix-and-match expert system for fashion retailers using fuzzy screening approach[J]. Expert Systems with Applications,2009,36(2): 1750-1764.
    [208]Woolcock M. Social capital and economic development:toward a theoretical synthesis and policy framework[J]. Theory and society,1998,27(2):151-208.
    [209]Xiong J, Zhou X Y. Mean-variance portfolio selection under partial information[J]. SIAM Journal on Cotrol Optimization,2007,46(1):156-175.
    [210]Yeung D W K, Petrosyan L A. Subgame consistent cooperative solutions in stochastic differential games[J]. Journal of Optimization Theory and Applications,2004,120(3): 651-666.
    [211]Yu Z Y. Linear-quadratic optimal control and nonzero-sum differential game of forward-backward stochastic system[J]. Asian Journal of Control,2012,14(1):173-185.
    [212]Zhou X Y, Li D. Continuous-time mean-variance portfolio selection:a stochastic LQ framework[J]. Applied Mathematics and Optimization,2000,42(1):19-33.
    [213]安实,王煊.风险投资退出决策的复合模型研究[J].系统工程理论与实践,2005,25(9):15-21.
    [214]毕志伟,王彦.考虑佣金的关联价值拍卖模型[J].管理科学学报,2005,8(3):24-27.
    [215]蔡勇美,郭文雄.都市社会学[M].1984,台北:巨流
    [216]陈培友,汪定伟.用遗传算法求解组合拍卖竞胜标[J].东北大学学报(自然科学版),2003,24(1):7-10.
    [217]陈培友,汪定伟.组合拍卖竞胜标确定问题的混沌搜索算法[J].管理科学学报,2003,6(5):24-28.
    [218]陈希,樊治平.基于公理设计的风险投资商和与风险企业双边匹配[J].系统工程,2010,28(6):9-16.
    [219]曹国华,胡义.风险投资家和创业者的双边匹配模型研究[J].科技进步与对策,2009,26(5):28-30.
    [220]党兴华,董建卫,吴红超.风险投资机构的网络位置与成功退出:来自中国风险投资业 的经验数据[J].南开管理评论,2011,14(2):82-91.
    [221]党兴华,贾卫峰.GS匹配算法在企业技术创新网络形成中的应用[J].系统工程,2009,27(4):3 1-36.
    [222]范柏乃.现代风险投资运行与管理[M]. 海:同济大学出版社,2002.
    [223]郭俊华.企业并购后知识资本的演化研究[J].科技管理研究,2004,24(6):68-72.
    [224]郭明杉,张陆祥,姜振寰.风险投资协同动力机制研究[J].哈尔滨工程大学学报,2008,29(7):761-765.
    [225]胡适耕,黄乘明,吴付科.随机微分方程[M].北京:科学出版社,2008.
    [226]黄河,徐鸿雁,陈剑.多因素采购组合拍卖获胜者确定问题研究[J].系统工程理论与实践,2008,28(7):27-33.
    [227]黄洁.集群企业成长中的网络演化[D].浙江大学博士论文,2006.
    [228]黄毅志.社会阶层、社会网络与心理幸福,台湾社会学刊,1998,171-210.
    [229]李斌.MBO,我国风险投资退出机制的一种现实选择[J].湖南科技学院学报.2006,27(11):288-290.
    [230]李怀祖.决策理论导论[M].北京:机械工业出版社,1993.
    [231]李文丽.我国风险投资退出方式的选择研究[D].武汉理工大学硕士学化论文.2010.
    [232]罗大伟,万迪昉.美国的风险投资企业在首次公开上市前后控制权的变迁[J].国际金融研究.2001,(8):72-75.
    [233]刘坚,文凤华,马超群.欧式期权和交换期权在随机利率及O-U过程下的精算定价方法[J].系统工程与理论实践,2009,29(12):118-124.
    [234]聂海峰,张琥.平行志愿录取机制研究[J].制度经济学研究,2009,(2):22-44.
    [235]孙俊华,陈传明.企业家社会资本与公司绩效关系研究——基于中国制造业上市公司的实证研究[J].南开管理评论,2009,12(2):28-36.
    [236]王真,马飞腾.改进的离散粒子群优化算法及其在竞胜标确定问题中的应用[J].计算机应用,2008,28(10):2521-2528.
    [237]徐岩,胡斌,钱任.基于随机演化博弈的战略联盟稳定性分析和仿真[J].系统工程理论与实践,2011,31(5):920-926.
    [238]杨锐,黄国安.网络位置和创新——杭州手机产业集群的社会网络分析[J].工业技术经济,2005,24(7):114-118.
    [239]殷红.几类特性物品的拍卖机制设计理论及方法研究[D].武汉大学博士论文,2006.
    [240]尹淑娅.风险投资中的创业企业价值评估模型及其运用[J].中国软科学.1999,(6):78-79.
    [241]张慧,陈晓兰,聂秀山.不确定环境下再装股票期权的稳健定价模型[J].中国管理科学,2008,16(1):25-31.
    [242]张矢的,魏东旭.风险投资中双重道德风险的多阶段博弈分析[J].南开经济评论,2008,(6):142-150.
    [243]赵昌文,童牧,何奕].欧洲风险资本的退出机制分析[J].财经科学,2000,(4):41-44.
    [244]郑君君,钟红波,许明媛.基于风险投资退出的统一价格拍卖最优机制设计[J].系统工程理论与实践,2012,32(7):1429-1436.
    [245]郑君君,张平,胡小诗,蒋伟良.基于图论的股权多属性拍卖双边匹配及仿真[J].武汉理工大学学报(信息与管理工程版),2013,35(1):106-110.
    [246]郑君君,张平,胡小诗,蒋伟良.基于随机微分方程的股权拍卖报价策略及模型研究[J].系统工程理论与实践,2013,33(4):893-900.
    [247]郑君君,邹祖绪,韩笑,赵贵玉.风险投资退出股权拍卖机制研究[J].技术经济,2011,30(1):20-23.
    [248]郑士源.基于系统动力学的两厂商投资微分博弈模拟[J].上海海事大学学报,2006,27(4):70-74.
    [249]钟笑寒,程娜,何云帆.高考志愿填报机制的博弈模型[J].经济学,2004,(3):763-778.