This paper is a survey of the work in the Nash program for coalitional games, a research agenda proposed by Nash (1953) to bridge the gap between the non-cooperative and cooperative approaches to game theory.

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 come close to characterizing the class of social choice correspondences that are implementable in rationalizable strategies. We identify a new condition, which we call set-monotonicity, and show that it is necessary and almost sufficient for rationalizable implementation. Set-monotonicity is...

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...

We view achieving a particular correlated equilibrium distribution for a normal form game as an implementation problem. We show, using a parametric version of the two-person Chicken game and a wide class of correlated equilibrium distributions, that a social choice function that chooses a...

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. (Copyright: Fundación Empresa Pública)

The mechanisms in the Nash program for cooperative games are made compatible with the framework of the theory of implementation. This is done through a reinterpretation of the characteristic function that avoids feasibility problems, thereby allowing an analysis that focuses exclusively on the...

This paper is a survey of the work in the Nash program for coalitional games, a research agenda proposed by Nash (1953) to bridge the gap between the non-cooperative and cooperative approaches to game theory. (Copyright: Fundación SEPI)

By introducing physical outcomes in coalitional games we note that coalitional games and social choice problems are equivalent (implying that so are the theory of implementation and the Nash program). This facilitates the understanding of the role of invariance and randomness in the Nash...

Multiplicity of Mixed Bayesian Equilibria in Mechanisms Roberto Serrano and Rajiv Vohra The literature on implementation with incomplete information has often left out the consideration of mixed-strategy equilibria. This is particularly problematic for a research program that attempts to address...