We show the robustness of the Walrasian result obtained in models of bargaining in pairwise meetings. Restricting trade to take place only in pairs, most of the assumptions made in the literature are dispensed with. These include assumptions on preferences (differentiability, monotonicity,...

This article describes the basic elements of the cooperative approach to game theory, one of the two counterparts of the discipline. After the presentation of some basic definitions, the focus will be on the core and the Shapley value, two of the most central solution concepts in cooperative...

In this paper we provide a simple new version of Arrow’s impossibility theorem, in a world with only one preference profile. This theorem relies on a new assumption of preference diversity, and we explore alternative notions of preference diversity at length.

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...

A core allocation of a complete information economy can be characterized as one that would not be unanimously rejected in favor of another feasible alternative by any coalition. We use this test of coalitional voting in an incomplete information environment to formalize a notion of resilience....

We provide a mechanism that approximately implements the Mas-Colell bargaining set in subgame perfect equilibrium. The mechanism is based on the definition of the Mas-Colell bargaining set, and respects feasibility in and out of equilibrium.

We first observe that two of Maskin's results do not extend beyond three players: we construct a four-player partition function with nonpositive externalities whose unique solution is inefficient, as well as a four-player characteristic function that has a unique efficient solution for each...

We study core convergence in interim quasilinear economies with asymmetric information, concentrating on core notions in which information is transmitted endogenously within coalitions and the incentive constraints are relevant. Specifically, we shall focus on the credible core and randomized...

Consider the problem of information disclosure for a planner who faces two agents interacting in a state-dependent multi-action prisoners' dilemma. We find conditions under which the planner can make use of his superior information by disclosing some of it to the agents, and conditions under...

In contexts in which players have no priors, we analyze a learning process based on ex-post regret as a guide to understand how to play games of incomplete information under private values. The conclusions depend on whether players interact within a fixed set (fixed matching) or they are...