A generalization of the Egalitarian and the Kalai–Smorodinsky bargaining solutions

Dominik Karos, Nozomu Muto, Shiran Rachmilevitch

Research output: Contribution to journalArticlepeer-review

Abstract

We characterize the class of weakly efficient n-person bargaining solutions that solely depend on the ratios of the players’ ideal payoffs. In the case of at least three players the ratio between the solution payoffs of any two players is a power of the ratio between their ideal payoffs. As special cases this class contains the Egalitarian and the Kalai–Smorodinsky bargaining solutions, which can be pinned down by imposing additional axioms.

Original languageEnglish
Pages (from-to)1169-1182
Number of pages14
JournalInternational Journal of Game Theory
Volume47
Issue number4
DOIs
StatePublished - 1 Nov 2018

Bibliographical note

Publisher Copyright:
© 2018, The Author(s).

Keywords

  • Bargaining
  • Efficiency-free characterizations
  • Parametrized solutions

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics (miscellaneous)
  • Social Sciences (miscellaneous)
  • Economics and Econometrics
  • Statistics, Probability and Uncertainty

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