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Do People Play Nash Equilibrium? Lessons From Evolutionary Game Theory

Journal of Economic Literature 1998
Evolutionary game theory provides an answer to two of the central questions in economic modeling: when is it reasonable to assume that people are rational? And, when is it reasonable to assume that behavior is part of a Nash equilibrium (and if it is reasonable, which equilibrium)? The traditional answers are not compelling, and much of evolutionary modeling is motivated by the need for a better answer. Evolutionary game theory suggests that, in a range of settings, agents do (eventually) play a Nash equilibrium. Moreover, evolutionary modeling has shed light on the relative plausibility of different Nash equilibria.

Simultaneous Signaling in an Oligopoly Model

Quarterly Journal of Economics 1989 104(2), 417
Journal Article Simultaneous Signaling in an Oligopoly Model Get access George J. Mailath George J. Mailath University of Pennsylvania Search for other works by this author on: Oxford Academic Google Scholar The Quarterly Journal of Economics, Volume 104, Issue 2, May 1989, Pages 417–427, https://doi.org/10.2307/2937856 Published: 01 May 1989

Incentive Compatibility in Signaling Games with a Continuum of Types

Econometrica 1987 55(6), 1349
This paper provides two results that are useful in proving the exist ence of and characterizing separating equilibria in signaling games. A key element in the analysis of separating equilibria is the examina tion of the implied incentive compatibility constraints. It is shown that these constraints imply differentiability of strategies. In addi tion, a monotonicity condition (which is similar to the single crossi ng condition) is analyzed that is necessary and sufficient for there to be a strategy satisfying the incentive compatibility constraints. As a direct consequence of these two results, the analysis of Paul Milgrom and John Roberts (1982) is considerably strengthened.

Financing Losers in Competitive Markets

Journal of Financial Intermediation 1994 3(2), 139-165 open access
Projects with negative expected value cannot obtain financing in competitive capital markets if all potential investors are risk neutral and have identical beliefs about the distribution of the project′s net revenue. We present a series of examples with heterogeneous beliefs in which it is possible for a project to obtain financing even though all investors in the project believe, conditional on the project being undertaken, that the project has negative expected value. An important feature of the examples is that the differences in beliefs are due only to differences in information, and are not simply arbitrary unexplained differences in opinions. Journal of Economic Literature Classification Numbers:D8, G1.

A Positive Analysis of Bank Closure

Journal of Financial Intermediation 1994 3(3), 272-299 open access
This paper investigates the incentives of a regulator to close depository institutions, recognizing that an institution′s risk taking will be influenced by the regulator′s policy regarding bank closure and that there are opportunity costs in closing banks arising from their intermediation function. The regulator focuses not on the current portfolio of the bank, but on the bank′s future portfolio. Even if the regulator seeks to maximize welfare, the first best is not obtainable because the regulator is unable to credibly commit to certain policies regarding closure. Journal of Economic Literature Classification Numbers: G2, L5, G1.

Market Selection and Asymmetric Information

Review of Economic Studies 2003 70(2), 343-368 open access
We consider a dynamic general equilibrium asset pricing model with heterogeneous agents and asymmetric information. We show how agents' different methods of gathering information affect their chances of survival in the market depending upon the nature of the information and the level of noise in the economy.

Asymmetric Information Bargaining Problems with Many Agents

Review of Economic Studies 1990 57(3), 351
A yes or no decision must be made about some issue. All agents must agree. The “Coase Theorem” asserts that the efficient outcome will always result. Suppose the value (positive or negative) that an individual attaches to an affirmative decision is privately known to that individual. It is proved, under very mild conditions, that with independent types, as the number of agents increases, the probability of an affirmative efficient decision goes to zero. An example in which it is common knowledge that an affirmative decision is efficient and yet the probability of such a decision goes to zero is given.

Workers Versus Firms: Bargaining Over a Firm's Value

Review of Economic Studies 1990 57(3), 369
We introduce a distinction between a firm and its network of workers. In a competitive world, if networks are easily lured away, the workers must receive the entire value of their contribution to the firm. How then can service firms have equity value? A model is analysed in which workers are paid less as a group than their value, even in a competitive world. The workers are assumed to have a nonwage benefit for working at the current firm; this benefit is privately known. These privately known benefits make it impossible for the workers to agree on a division of their value should they leave the existing firm for a new enterprise. The result is that the workers may receive a total compensation that is less than their contribution to the firm.

Learning, Mutation, and Long Run Equilibria in Games

Econometrica 1993 61(1), 29
We analyze an evolutionary model with a finite number of players and with noise or mutations.The expansion and contraction of strategies is linked-as usual-to their current relative success, but mutations-which perturb the system away from its deterministic evolution-are present as well.Mutations can occur in every period, so the focus is on the implications of ongoing mutations, not a one-shot mutation.The effect of these mutations is to drastically reduce the set of equilibria to what we term "long-run equilibria."For 2 x 2 symmetric games with two symmetric strict Nash equilibria the equilibrium selected satisfies (for large populations) Harsanyi and Selten's (1988) criterion of risk-dominance.In particular, if both strategies have equal security levels, the Pareto dominant Nash equilibrium is selected, even though there is another strict Nash equilibrium.