Consistency and the core in games with externalities

Consistency and the core in games with externalities In the presence of externalities across coalitions, Dutta et al. (J Econ Theory 145:2380–2411, 2010) characterize their value by extending Hart and Mas-Colell reduced game consistency. In the present paper, we provide a characterization result for the core for games with externalities by extending one form of consistency studied by Moulin (J Econ Theory 36:120–148, 1985), which is often referred to as the complement-reduced game property. Moreover, we analyze another consistency formulated by Davis and Maschler (Naval Res Logist Quart 12:223–259, 1965), called the max-reduced game property and a final consistency called the projection-reduced game property. In environments with externalities, we discuss some asymmetric results among these different forms of reduced games. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png International Journal of Game Theory Springer Journals

Consistency and the core in games with externalities

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Publisher
Springer Journals
Copyright
Copyright © 2017 by Springer-Verlag GmbH Germany
Subject
Economics; Economic Theory/Quantitative Economics/Mathematical Methods; Game Theory, Economics, Social and Behav. Sciences; Behavioral/Experimental Economics; Operations Research/Decision Theory
ISSN
0020-7276
eISSN
1432-1270
D.O.I.
10.1007/s00182-017-0581-y
Publisher site
See Article on Publisher Site

Abstract

In the presence of externalities across coalitions, Dutta et al. (J Econ Theory 145:2380–2411, 2010) characterize their value by extending Hart and Mas-Colell reduced game consistency. In the present paper, we provide a characterization result for the core for games with externalities by extending one form of consistency studied by Moulin (J Econ Theory 36:120–148, 1985), which is often referred to as the complement-reduced game property. Moreover, we analyze another consistency formulated by Davis and Maschler (Naval Res Logist Quart 12:223–259, 1965), called the max-reduced game property and a final consistency called the projection-reduced game property. In environments with externalities, we discuss some asymmetric results among these different forms of reduced games.

Journal

International Journal of Game TheorySpringer Journals

Published: Jun 12, 2017

References

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