The Shapley–Shubik power index for dichotomous multi-type games View Full Text


Ontology type: schema:ScholarlyArticle      Open Access: True


Article Info

DATE

2016-09

AUTHORS

Sébastien Courtin, Zéphirin Nganmeni, Bertrand Tchantcho

ABSTRACT

This work focuses on multi-type games in which there are a number of non-ordered types in the input, while the output consists of a single real value. When considering the dichotomous case, we extend the Shapley–Shubik power index and provide a full characterization of this extension. Our results generalize the literature on classical cooperative games. More... »

PAGES

413-426

References to SciGraph publications

  • 2000-02. A consistent value for games with n players and r alternatives in INTERNATIONAL JOURNAL OF GAME THEORY
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  • 1997-10. Ternary voting games in INTERNATIONAL JOURNAL OF GAME THEORY
  • 2001. Models and Reality: The Curious Case of the Absent Abstention in POWER INDICES AND COALITION FORMATION
  • 1993-12. A value for games withn players andr alternatives in INTERNATIONAL JOURNAL OF GAME THEORY
  • 1981. Modification of the Banzhaf-Coleman Index for Games with a Priori Unions in POWER, VOTING, AND VOTING POWER
  • 2000. Cooperative Games on Combinatorial Structures in NONE
  • 2016-09. Power in voting rules with abstention: an axiomatization of a two components power index in ANNALS OF OPERATIONS RESEARCH
  • 2002-10. Characterizations of two power indices for voting games with r alternatives in SOCIAL CHOICE AND WELFARE
  • 2003-12. Weighted voting, abstention, and multiple levels of approval in SOCIAL CHOICE AND WELFARE
  • 1977. Values of Games with a Priori Unions in MATHEMATICAL ECONOMICS AND GAME THEORY
  • 2012-03. Quaternary dichotomous voting rules in SOCIAL CHOICE AND WELFARE
  • 1998-12. Extension of values to games withmultiple alternatives in ANNALS OF OPERATIONS RESEARCH
  • 1986-09. Power indices for multicandidate voting games in INTERNATIONAL JOURNAL OF GAME THEORY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11238-016-9541-4

    DOI

    http://dx.doi.org/10.1007/s11238-016-9541-4

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1043370281


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