This paper provides a general overview of the literature on the core of an exchange economy with asymmetric information …. Incentive compatibility is emphasized in studying core concepts at the ex ante and interim stage. The analysis includes issues … of non-emptiness of the core as well as core convergence to price equilibrium allocations. …

compability constraints: the associated ex ante core is generically nonempty. However, we exhibit a well-behaved exchange economy … in which this core is empty, even if goods are allocated through random mechanisms. …

-convexity, under which the game is shown to have a non-empty core and the average tree solution lies in the core. In general, link …

allowing all its members to get the service that generates the revenues. We focus on the study of the core of cost … consideration to all its members, it is shown that a cost-revenue game has a non-empty core for any vector of revenues if, and only … if, the dual game of the cost game has a large core. Using this result, we investigate minimum cost spanning tree games …

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 game theory. …

, the set of Walrasian payoff vectors of the induced coalition production economy coincides with the core of the balanced …

This paper investigates core stability of cooperative, TU games via a fuzzy extension of the totally balanced cover of … a TU game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to reflect the … core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the existence …

An appropriate (interim) notion of the core for an economy with incomplete information depends on the amount of … information that coalitions can share. The coarse and fine core, as originally defined by Wilson (1978), correspond to two polar … credible core, which incorporates incentive compatibility constraints, and is based on the idea that a coalition can coordinate …