Abstract

Cooperative games with coalition structures are considered and the principle of coalition structure stability with respect to some cooperative solution concepts is determined. This principle is close to the concept of Nash equilibrium. The existence of a stable coalition structure with respect to the Shapley value and the equal surplus division value for the cases of two and three-person games is proved. In this paper, the problem of existence of a stable coalition structure with respect to the Shapley value and the equal surplus division value for the case of four-person games with special characteristic function is examined.

Original languageEnglish
Title of host publicationCONTRIBUTIONS TO GAME THEORY AND MANAGEMENT, VOL XI
EditorsLA Petrosyan, NA Zenkevich
PublisherИздательство Санкт-Петербургского университета
Pages224-248
Number of pages25
ISBN (Print)*****************
Publication statusPublished - 2018
Event11th International Conference on Game Theory and Management, GTM2017 - St Petersburg
Duration: 28 Jun 201730 Jun 2017

Publication series

NameContributions to Game Theory and Management
PublisherST PETERSBURG UNIV GRAD SCH MANAGEMENT
Volume11
ISSN (Print)2310-2608

Conference

Conference11th International Conference on Game Theory and Management, GTM2017
CountryRussian Federation
CitySt Petersburg
Period28/06/1730/06/17

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