The core of a strategic game

摘要

In this paper, I introduce and study the gamma-core of a general strategic game. I first show that the gamma-core of an arbitrary strategic game is smaller than the conventional alpha- and beta- cores. I then consider the partition function form of a general strategic game and show that a prominent class of partition function games admit nonempty gamma-core. Finally, I show that each gamma-core payoff vector (a cooperative solution) can be supported as an equilibrium outcome of an intuitive non-cooperative game and the grand coalition is the unique equilibrium outcome if and only if the gamma-core is non-empty.