In a seminal paper relating economic and game theoretic structures, Shapley and Shubik (1969) demonstrate that a game is a market game -- that is, a game derived from a finite-dimensional private goods exchange economy where all participants have continuous, concave utility functions. In this...

This paper provides sufficient conditions to ensure nonemptiness of approximate cores of many-player games and symmetry of approximate core payoffs (the equal treatment property). The conditions are: (a) essential superadditivity -- an option open to a group of players is to partition into...

An outcome of a game is partnered if there are no asymmetric dependencies between any two players. For a cooperative game, a payoff is in the partnered core of the game if it is partnered, feasible and cannot be improved upon by any coalition of players. We show that the relative interior of the...

For exchange economies with classical economic preferences, it is shown that any strategy-proof social choice function that selects Pareto optimal outcomes cannot guarantee everyone a consumption bundle bounded away from the origin. This result demonstrates that there is a fundamental conflict...

A desirable property of a voting procedure is that it be immune to the strategic withdrawal of a cadidate for election. Dutta, Jackson, and Le Breton (Econometrica,2001) have established a number of theorems which demonstrate that this condition is incompatible with some other desirable...

Serge Kolm's "epistemic counterfactual principle" says that a social choice only needs to be made from the actual feasible set of alternatives given the actual preference profile, but it must be justified by the choices that would have been made in appropriate counterfactual choice situations....