Equal treatment without large numbers
Camelia Bejan () and
Juan Camilo Gómez ()
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Camelia Bejan: University of Washington, Bothell
Juan Camilo Gómez: University of Washington, Bothell
International Journal of Game Theory, 2018, vol. 47, issue 4, 1239-1259
Abstract We provide a necessary and sufficient condition under which core allocations of arbitrary TU-games treat substitute players equally. The core satisfies the equal treatment property if and only if no player needs the participation of all of her substitutes to attain her core payoffs. We show how, without the requirement of a large number of players, this condition generalizes and unifies other sufficient conditions proposed in the literature (in the context of large games and economies) and it helps derive new results for particular classes of games.
Keywords: Equal treatment property; Core; Replica games; Core extensions (search for similar items in EconPapers)
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