On the nonemptiness of approximate cores of large games

Nizar Allouch and Myrna Wooders

We provide a new proof of the non-emptiness of approximate cores of games with many players of a finite number of types. Earlier papers in the literature proceed by showing that, for games with many players, equal-treatment cores of their "balanced cover games", which are non-empty, can be approximated by equal-treatment e-cores of the games themselves. Our proof is novel in that we rely on a fixed point theorem.

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Year of publication:	2014
Authors:	Allouch, Nizar ; Wooders, Myrna Holtz
Publisher:	London : School of Economics and Finance
Subject:	NTU games \| Core \| Approximate cores \| Small group effectiveness \| Coalition formation \| Payoff dependent balancedness \| Spieltheorie \| Game theory \| Kooperatives Spiel \| Cooperative game \| Transferierbarer Nutzen \| Transferable utility \| Koalition \| Coalition