In this short paper we provide two simple new versions of Arrow's impossibility theorem, in a world with only one preference profile. Both versions are extremely transparent. The first version assumes a two-agent society; the second version, which is similar to a theorem of Pollak, assumes two...

We characterize full implementation of social choice sets in mixed strategy Bayesian equilibrium. Our results concern both exact and virtual mixed implementation. For exact implementation, we identify a strengthening of Bayesian monotonicity, which we refer to as mixed Bayesian monotonicity. It...

This is a brief survey describing some of the recent progress and open problems in the area of cooperative games with incomplete information. We discuss exchange economies, cooperative Bayesian games with orthogonal coalitions, and issues of cooperation in non-cooperative Bayesian games.

We apply stochastic stability to study the evolution of bidding behavior in private-values second-price, first-price and k-double auctions. The learning process has a strong component of inertia but with a small probability, the bids are modified in the direction of ex-post regrets. We identify...

Define the riskiness of a gamble as the reciprocal of the absolute risk aversion (ARA) of an individual with constant ARA who is indifferent between taking and not taking that gamble. We characterize this index by axioms, chief among them a \"duality\" axiom which, roughly speaking, asserts that...

This article is a survey on bargaining theory. The focus is the game theoretic approach to bargaining, both on its axiomatic and strategic counterparts. The application of bargaining theory to large markets and its connections with competitive allocations are also discussed.

Este breve artículo glosa algunas de las aplicaciones recientes de sistemas dinámicos estocásticos a la Teoría de Juegos y la Economía. El modelo que se describe con más detalle demuestra que la única asignación estocásticamente estable de un proceso de intercambio entre coaliciones...

We study the classic implementation problem under the behavioral assumption that agents myopically adjust their actions in the direction of better-responses within a given institution. We offer results both under complete and incomplete information. First, we show that a necessary condition for...

Our concern is the extension of the theory of the Shapley value to games with externalities. Using the standard axiom systems behind the Shapley value for an arbitrary exogenous coalition structure leads to the identification of bounds on players’ payoffs around an \"externality-free\" value....

This article is a brief survey on the Nash program for coalitional games. Results of noncooperative implementation of the Nash solution, the Shapley value and the core are discussed.