In this note we provide a characterization of a subclass of bargaining problems for which the Nash solution has the property of disagreement point monotonicity.While the original d-monotonicity axiom and its stronger notion, strong d-monotonicity, were introduced and discussed by Thomson [15],...

The value is a solution concept for n-person strategic games, developed by Nash, Shapley, and Harsanyi. The value of a game is an a priori evaluation of the economic worth of the position of each player, reflecting the players' strategic possibilities, including their ability to make threats...

The fundamental connection between stochastic differential equations (SDEs) and partial differential equations (PDEs) has found numerous applications in diverse fields. We explore a similar link between stochastic calculus and combinatorial PDEs on graphs with Hodge structure, by showing that...

Consider a model of bargaining, in which two players, 1 and 2, share a pie of size y. The bargaining environment is described by a set of parameters that may affect agents' preferences over the agreement sharing, the status quo outcome, or both. The outcomes (i.e., whether an agreement is...

We experimentally compare two well-known mechanisms inducing the Shapley value as an ex ante equilibrium outcome of a noncooperative bargaining procedure: the demand-basedWinter's demand commitment bargaining mechanism and the offer-based Hart and Mas-Colell procedure. Our results suggest that...

We experimentally compare a simplified version of two mechanisms that implement the Shapley value as an (ex ante) equilibrium outcome of a noncooperative bargaining procedure: one proposed by Hart and Mas-Colell (1996, H-MC) and the other by Perez-Castrillo and Wettstein (2001, PC-W). While H-MC...

This paper aims to contribute to the literature on Nash program by experimentally comparing the results of "structured" (non-cooperative) demand-based and offer-based mechanisms that implement the Shapley value as an ex-ante equilibrium outcome with the results of corresponding "semi-structured"...

We model cooperative games when externality affects the payoffs of coalitions. The coalitional games among countries committing to pollution reduction can be easily embedded into such a framework. We evaluate the individual welfare for countries joining the International Environmental Agreements...

This chapter surveys recent models of coalition and network formation in a unified framework. Comparisons are drawn among various procedures of network and coalition formation, involving simultaneous and sequential moves. The survey also covers models of group and network formation by farsighted...