Harris, Reny, and Robson (Econometrica, 1995) add a public randomization device to dynamic games with almost perfect information to ensure existence of subgame perfect equilibria (SPE). We show that when nature's moves are atomless in the original game, SPE obtained via this channel can be...

This article investigates rationalizable implementation in social environments where agents can provide hard evidence on the private information they possess. Specifically, we study necessary and sufficient conditions for virtual implementation using a notion of Rationalizability that captures...

We propose both a well-mixed and spatially-structured evolutionary game to analyze the competitive behavior of retail firms in duopolistic markets. Firms from two different populations (high/low efficiency) compete and the available strategies are (i) Profit or (ii) Revenue maximization. Under...

We study a class of games featuring payoff functions being parabolic cylinders where best reply functions are orthogonal and therefore the pure-strategy non-cooperative solution is attained as a Nash equilibrium in dominant strategies. We prove that the resulting threshold of the discount factor...

This paper studies the long-run (stochastic) stability of an evolutionary model with persistent randomness in network games. We focus on evolutionary dynamics in symmetric coordination games where players choose the best responses to their opponents' strategies. Recent studies find that the...

The article proposes an evolutionary game theoretical analysis of quality and price competition in oligopoly. Using the notion of a finite population evolutionarily stable strategy (FPESS) defined by Schaffer (1989), the relative payoff maximizing behavior is compared with the absolute payoff...

This paper studies strongly symmetric equilibria (SSE) in continuous-time games of strategic experimentation with Poisson bandits. SSE payoffs can be studied via two functional equations similar to the HJB equation used for Markov equilibria. This is valuable for three reasons. First, these...

In this paper we investigate how cognitive ability and character skills influence behavior, success and the evolution of play towards Nash equilibrium in repeated strategic interactions. We study behavior in a p-beauty contest experiment and find striking differences according to cognitive...

Fixed points of the (most) refined best reply correspondence, introduced in Balkenborg, Hofbauer, and Kuzmics (2013), in the agent normal form of extensive form games with perfect recall have a remarkable property. They induce fixed points of the same correspondence in the agent normal form of...

This paper introduces Gm, which is a category for extensive-form games. It also provides some applications. The category's objects are games, which are understood to be sets of nodes which have been endowed with edges, information sets, actions, players, and utility functions. Its arrows are...