We consider a general-sum N-player linear-quadratic game with stochastic dynamics over a finite horizon and prove the global convergence of the natural policy gradient method to the Nash equilibrium. In order to prove convergence of the method we require a certain amount of noise in the system....

How should we evaluate the welfare implications of improvements to safety technologies in the presence of offsetting behavior? We model this problem as a symmetric game in which each player's payoff depends on his own action and the average action of the other players, and analyze under which...

The standard framework for analyzing games with incomplete information models players as if they have an infinite depth of reasoning, which is not always consistent with experimental evidence. This paper generalizes the type spaces of Harsanyi (1967-1968) so that players can have a finite depth...

Applying unawareness belief structures introduced in Heifetz, Meier, and Schipper (2012), we develop Bayesian games with unawareness, define equilibrium, and prove existence. We show how equilibria are extended naturally from lower to higher awareness levels and restricted from higher to lower...

This paper extends Savage's subjective approach to probability and utility from decision problems under exogenous uncertainty to choice in strategic environments. Interactive uncertainty is modeled both explicitly, using hierarchies of preference relations, the analogue of beliefs hierarchies,...

Social norms of cooperation are studied under several forms of communication. In an experiment, strangers could make public statements before playing a prisoner's dilemma. The interaction was repeated indefinitely, which generated multiple equilibria. Communication could be used as a tool to...

Social norms of cooperation are studied under several forms of communication. In an experiment, strangers could make public statements before playing a prisoner’s dilemma. The interaction was repeated indefinitely, which generated multiple equilibria. Communication could be used as a tool to...

This article considers the robustness of long run equilibria when mutation rates are not assumed to be constant over time. Particular attention is paid to the case where mutation rates decline to zero in the limit. It is found that if behaviour is ergodic, then it corresponds to the long run...

There is a general consensus that the root cause of the most recent turmoil in the domestic and global markets is due to a failure in our regulatory system. Yet, Congress has not supported comprehensive regulation related to the day-to-day activities of mortgage brokers and their relationship...

We study the emergence of norms of cooperation in experimental economies populated by strangers interacting indefinitely and lacking formal enforcement institutions. In all treatments the efficient outcome is sustainable as an equilibrium. We address the following questions: can these economies...