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We develop a characterization of stochastically stable states for the logit-response learning dynamics in games, with arbitrary specification of revision opportunities. The result allows us to show convergence to the set of Nash equilibria in the class of best-response potential games and the...
Persistent link: https://www.econbiz.de/10008565462
We model the structure of a firm or an organization as a network and consider minimum-effort games played on this network as a metaphor for cooperations failing due to coordination failures. For a family of behavioral rules, including Imitate the Best and the Proportional Imitation Rule, we show...
Persistent link: https://www.econbiz.de/10008673519
Over the last fifty years, game theory has evolved from a mathematical theory of optimal behaviour in stylized situations (“games”) to a general theory of human behaviour, be it actually observed or normatively desirable. Its scope includes both the mathematical modelling and analysis of...
Persistent link: https://www.econbiz.de/10008682979
We consider a model of evolution with mutations as in Kandori et al. (1993) [Kandori, M., Mailath, G.J., Rob, R., 1993. Learning, mutation, and long run equilibria in games. Econometrica 61, 29–56], where agents follow best-response decision rules as in Sandholm (1998) [Sandholm, W., 1998....
Persistent link: https://www.econbiz.de/10008725917
When an economic agent makes a choice, stochastic models predicting those choices can be updated. The structural assumptions embedded in the prior model condition the updated one, to the extent that the same evidence produces different predictions even when previous ones were identical. We...
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This paper addresses the question of what it takes to obtain a well-defined extensive form game. Without relying on simplifying finiteness or discreteness assumptions, we characterize the class of game trees for which all pure strategy combinations induce unique outcomes. The generality of the...
Persistent link: https://www.econbiz.de/10005112239