The core of a class of non-atomic games which arise in economic applications

Abstract

We study the core of a non-atomic game v which is uniformly continuous with respect to the DNA-topology and continuous at the grand coalition. Such a game has a unique DNA-continuous extension v on the space B1 of ideal sets. We show that if the extension v is concave then the core of the game v is non-empty i ̈ v is homogeneous of degree one along the diagonal of B1. We use this result to obtain representation theorems for the core of a nonatomic game of the form v ˆ f m where m is a ®nite dimensional vector of measures and f is a concave function. We also apply our results to some nonatomic games which occur in economic applications.

DOI: 10.1007/s001820050094

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Cite this paper

@article{Einy1999TheCO, title={The core of a class of non-atomic games which arise in economic applications}, author={Ezra Einy and Diego A Moreno and Benyamin Shitovitz}, journal={Int. J. Game Theory}, year={1999}, volume={28}, pages={1-14} }