Three-valued simple games

M. Musegaas, P. E. M. Borm, M. Quant

Research output: Contribution to journalArticleScientificpeer-review

Abstract

In this paper we study three-valued simple games as a natural extension of simple games. We analyze to which extent well-known results on the core and the Shapley value for simple games can be extended to this new setting. To describe the core of a three-valued simple game we introduce (primary and secondary) vital players, in analogy to veto players for simple games. Moreover, it is seen that the transfer property of Dubey (1975) can still be used to characterize the Shapley value for three-valued simple games. We illustrate three-valued simple games and the corresponding Shapley value in a parliamentary bicameral system.
Original languageEnglish
Pages (from-to)201-224
JournalTheory and Decision
Volume85
Issue number2
DOIs
Publication statusPublished - Aug 2018

Keywords

  • Cooperative games
  • Three-valued simple games
  • Core
  • Vital players
  • Shapley value
  • Transfer property

Cite this

Musegaas, M. ; Borm, P. E. M. ; Quant, M. / Three-valued simple games. In: Theory and Decision. 2018 ; Vol. 85, No. 2. pp. 201-224.
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Three-valued simple games. / Musegaas, M.; Borm, P. E. M.; Quant, M.

In: Theory and Decision, Vol. 85, No. 2, 08.2018, p. 201-224.

Research output: Contribution to journalArticleScientificpeer-review

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