We study a communication game of common interest in which the sender observes one of infinite types and sends one of finite messages which is interpreted by the receiver. In equilibrium there is no full separation but types are clustered into contiguous cells. We give a full characterization of...

We consider games with incomplete information à la Harsanyi, where the payoff of a player depends on an unknown state of nature as well as on the profile of chosen actions. As opposed to the standard model, playersʼ preferences over state-contingent utility vectors are represented by arbitrary...

In this paper we use a laboratory setting to manipulate our subjectsʼ beliefs about the cognitive levels of the players they are playing against. We show that in the context of the 2/3 guessing game, individual choices crucially depend on their beliefs about the level of others. Hence, a...

Assuming that bidders wish to acquire at most one item, this paper defines a polynomial time multi-item auction that locates the VCG prices in a finite number of iterations for any given starting prices. This auction is called the Vickrey–English–Dutch auction and it contains the...

We study the effects of reputation and competition in a trust game. If trustees are anonymous, outcomes are poor: trustees are not trustworthy, and trustors do not trust. If trustees are identifiable and can, hence, build a reputation, efficiency quadruples but is still at only a third of the...

We introduce the nonatomic supermodular game, where no playerʼs action has any discernible impact on other playersʼ payoffs and yet strategic complementarities prevail among all playersʼ types and actions. For both semi-anonymous and anonymous games, we show that monotone equilibria form...

This paper introduces a new coordination problem for a large but finite population – The Language Game. The population is partitioned into two groups of identical agents. Each player shares a common two-action strategy set and interacts pairwise with everyone else. Both symmetric profiles are...

We prove that for any equilibrium of a (Bayesian) game, and any sequence of perturbations of that game, there exists a corresponding sequence of ex-ante ε-equilibria converging to the given equilibrium of the original game. We strengthen the conclusion to show that the approaching equilibria...

We introduce a “dynamic non-equivalent utilities” (DNEU) condition and the notion of dynamic player-specific punishments for a general repeated game with unequal discounting, both naturally generalizing the stationary counterparts in Abreu et al. (1994). We show that if the DNEU condition,...

The e-mail game in Rubinstein (1989) shows that types with arbitrarily close higher-order beliefs may differ substantially in strategic behaviors. We define a notion called strategic discontinuity in arbitrary incomplete-information scenarios to generalize this e-mail game phenomenon. We show...