, Volume 11, Issue 3-4, pp 175-182

Cooperative games with large cores

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Abstract

A payoff vector in ann-person cooperative game is said to be acceptable if no coalition can improve upon it. The core of a game consists of all acceptable vectors which are feasible for the grand coalition. The core is said to be large if for every acceptable vectory there is a vectorx in the core withx⩽y. This paper examines the class of games with large cores.

I am grateful to Peter Fishburn, Henry Landau, Don Topkis, and an anonymous referee for helpful comments on an earlier draft of this paper.