打字猴:1.704418362e+09
1704418362 1.13 两个企业各有一个工作空缺,假设企业所给的工资不同(其原因不在此处讨论,但关系到每一个空缺的价值):企业i给的工资为wi,这里(1/2)w1<w2<2w1。设想有两个工人,每人只能申请一份工作,两人同时决定是申请企业1的工作,还是向企业2申请。如果只有一个工人向一个企业申请,他就会得到这份工作;如果两个工人同时向一个企业申请工作,则企业随机选择一个工人,另一人就会失业(这时收益为0)。解出两工人标准式博弈的纳什均衡。(要更进一步了解企业是如何决定工资的,请参阅蒙哥马利(Montgomery),1991)
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1704418367 1.14 证明附录1.1.C中的命题B不仅对纯战略成立,对混合战略同样成立:在混合战略纳什均衡中,概率大于0的战略一定不会被重复剔除严格劣战略所剔除。
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1704418372 博弈论基础 [:1704417393]
1704418373 博弈论基础 1.6 参考文献
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1704418375 Aumann,R.1974.“Subjectivity and Correlation in Randomized Strategies”.Journal of Mathematical Economics1:67—96.
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1704418377 ——.1976.“Agreeing to Disagree.”Annals of Statistics4:1236—39.
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1704418379 ——.1987.“Correlated Equilibrium as an Expression of Bayesian Rationality.”Econometrica55:1—18.
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1704418381 Bertrand,J.1883.“Theorie Mathematique de la Richesse Sociale.”Journal des Savants499—508.
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1704418383 Brandenburger,A.1992.“Knowledge and Equilibrium in Games.”Forthcoming in Journal of Economic Perspectives.
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1704418385 Cournot,A.1838.Recherches sur Les Principes Mathematiques de la theorie des Richesses.English edition:Researches into the Methematical Principles of the Thoery of Wealth.Edited by N.Bacon.New York:Macmillan,1897.
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1704418387 Dasgupta,P.,and E.Maskin.1986.“The Existence of Equilibrium in Discontinuous Economic Games,I:Theory.”Review of Economic Studies53:1—26.
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1704418389 Farber,H.1980.“An Analysis of Final-Offer Arbitration.”Journal of Conflict Resolution35:683—705.
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1704418391 Friedman,J.1971.“A Noncooperative Equilirium for Supergames.”Review of Economic Studies28:1—12.
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1704418393 Gibbons,R.1988.“Learning in Equilibrium Models of Arbitration.”American Economic Review78:896—912.
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1704418395 Hardin,G.1968“The tragedy of the Commons.”Science162:1243—48.
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1704418397 Harsanyi,J.1973.“Games with Randomly Disturbed Payoffs:A New Rationale for Mixed Strategy Equilibrium Points.”International Journal of Game Theory2:1—23.
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1704418399 Hotelling,H.1929.“Stability in Competition.”Economic Journal39:41—57.
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1704418401 Hume,D.1739.A Treatise of Human Nature.Reprint.London:J.M.Dent.1952.
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1704418403 Kakutani,S.1941.“A Generalization of Brouwer’s Fixed Point Theorem.”Duke Mathematical Journal8:457—59.
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1704418405 Kreps,D.,and J.Scheinkman.1983.“Quantity Precommitment and Bertrand Competition Yield Cournot Outcomes.”Bell Journal of Economics14:326—37.
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1704418407 Montgomery,J.1991.“Equilirium Wage Dispersion and Interindustry Wage Differentials.”Quarterly Journal of Economics106:163—79.
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1704418409 Nash,J.1950.“Equilibrium Points in n-Person Games.”Proceedings of the National Academy of Sciences36:48—49.
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1704418411 Pearce,D.1984.“Rationalizable Strategic Behavior and the Problem of Perfection.”Econometrica52:1029—50.
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