The axiom of equivalence to individual power and the Banzhaf index

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3 Scopus citations

Abstract

I introduce a new axiom for power indices on the domain of finite simple games that requires the total power of any given pair i,j of players in any given game v to be equivalent to some individual power, i.e., equal to the power of some single player k in some game w. I show that the Banzhaf power index is uniquely characterized by this new “equivalence to individual power” axiom in conjunction with the standard semivalue axioms: transfer (which is the version of additivity adapted for simple games), symmetry or equal treatment, positivity (which is strengthened to avoid zeroing-out of the index on some games), and dummy.

Original languageEnglish
Pages (from-to)391-400
Number of pages10
JournalGames and Economic Behavior
Volume108
DOIs
StatePublished - 1 Mar 2018

Keywords

  • 2-efficiency
  • Banzhaf power index
  • Dummy
  • Positivity
  • Semivalues
  • Simple games
  • Superadditivity
  • Symmetry
  • Transfer

ASJC Scopus subject areas

  • Finance
  • Economics and Econometrics

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