Graphs and Cooperation in Games

Roger B. Myerson

1977Published

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Abstract

Graph-theoretic ideas are used to analyze cooperation structures in games. Allocation rules, selecting a payoff for every possible cooperation structure, are studied for games in characteristic function form. Fair allocation rules are defined, and these are proven to be unique, closely related to the Shapley value, and stable for a wide class of games.

Journal: Mathematics of Operations Research

Publisher: Institute for Operations Research and the Management Sciences (INFORMS)

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