The Shapley–Shubik index for simple games with multiple alternatives View Full Text


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Article Info

DATE

2008-02

AUTHORS

Francesc Carreras, Antonio Magaña

ABSTRACT

When analyzing mathematically decision mechanisms ruled by voting it is sometimes convenient to include abstention as a possible alternative for the voters. In classical simple games, abstention, if considered, is formally equivalent to voting against the proposal. Simple games with alternatives are useful to study voting systems where abstention does not favour any of the options. In this work, we axiomatically characterize the Shapley–Shubik index for simple games with alternatives and apply it to an example taken from real life. More... »

PAGES

81-97

References to SciGraph publications

  • 1975-09. On the uniqueness of the Shapley value in INTERNATIONAL JOURNAL OF GAME THEORY
  • 1995-06. Alternative axiomatic characterizations of the Shapley and Banzhaf values in INTERNATIONAL JOURNAL OF GAME THEORY
  • 2001. Models and Reality: The Curious Case of the Absent Abstention in POWER INDICES AND COALITION FORMATION
  • 1995-03. Postulates and paradoxes of relative voting power — A critical re-appraisal in THEORY AND DECISION
  • 1993-12. A value for games withn players andr alternatives in INTERNATIONAL JOURNAL OF GAME THEORY
  • 1998-12. Extension of values to games withmultiple alternatives in ANNALS OF OPERATIONS RESEARCH
  • 2001. Power Indices and the Design of Electoral/Constitutional Systems in POWER INDICES AND COALITION FORMATION
  • 1977-03. Values of games in partition function form in INTERNATIONAL JOURNAL OF GAME THEORY
  • 1978-09. The inevitability of the “paradox of redistribution” in the allocation of voting weights in PUBLIC CHOICE
  • 1997-10. Ternary voting games in INTERNATIONAL JOURNAL OF GAME THEORY
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10479-007-0246-5

    DOI

    http://dx.doi.org/10.1007/s10479-007-0246-5

    DIMENSIONS

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