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, Volume 17, Issue 1, pp 123–138 | Cite as

Multi-choice clan games and their core

  • R. Branzei
  • N. Llorca
  • J. Sánchez-Soriano
  • S. Tijs
Original Paper

Abstract

In this paper, we consider market situations with two corners. One corner consists of a group of powerful agents with yes-or-no choices and clan behavior. The other corner consists of non-powerful agents with multi-choices regarding the extent at which cooperation with the clan can be achieved. Multi-choice clan games arise from such market situations. The focus is on the analysis of the core of multi-choice clan games. Several characterizations of multi-choice clan games by the shape of the core are given, and the connection between the convexity of a multi-choice clan game and the stability of its core is studied.

Keywords

Multi-choice games Clan games Core 

Mathematics Subject Classification (2000)

91A12 

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Copyright information

© Sociedad de Estadística e Investigación Operativa 2009

Authors and Affiliations

  • R. Branzei
    • 1
  • N. Llorca
    • 2
  • J. Sánchez-Soriano
    • 2
  • S. Tijs
    • 3
  1. 1.Faculty of Computer Science“Alexandru Ioan Cuza” UniversityIaşiRomania
  2. 2.CIO and Department of Statistics, Mathematics and Computer ScienceUniversity Miguel Hernández of ElcheElcheSpain
  3. 3.CentER and Department of Econometrics and Operations ResearchTilburg UniversityTilburgThe Netherlands

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