: (a) equivalence of the core and the set of competitive outcomes; (b) the Shapley value is contained in the core or … approximate cores; (c) the equal treatment property holds -- that is, both market equilibrium and the core treat similar players …

direct assumption that preferences have maximal elements on a fixed agenda. We show that the core of a simple game is … number of the game. The same is true if we replace the core by the core without majority dissatisfaction, obtained by … deleting from the agenda all the alternatives that are non-maximal for all players in a winning coalition. Unlike the core, the …

Twelve sets, proposed as social choice solution concepts, are compared: the core, five versions of the uncovered set …

neither arbitrarily small coalitions nor large coalitions are enough to block an allocation which is not in the core, due to … the core provided by Vind and Schmeidler (1972) to economies with asymmetrically informed traders. We then focus on … finest information. Finally, characterizations for the weak fine, the fine and the private core are obtained as particular …

question of core stability of the grand coalition, namely: is there a subset of bidders that prefers forming a small bidding … the grand coalition is not necessarily core stable, as opposed to the zero externality case, where the stability of the …

accept/reject certain proposals. The set of equilibrium outcomes is identified as the core if F's opponents can pre …-commit and as the convex hull of the core if they cannot pre-commit credibly. This extended model eliminates two flaws of the …

For any transferable utility game in coalitional form with nonempty core, we show that that the number of blocks … required to switch from an imputation out of the core to an imputation in the core is less than or equal to n(n-1)/2, where n …

This paper proposes two generalization of the core and evaluates them on experimental data of assignment games (workers …-cooperative games, and they prove to be both descriptive and predictive in the assignment games analyzed here. The "logit core" allows …