The desirability relation of simple games

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Abstract

We prove some properties of simple games with a complete desirability relation, and investigate the relationships between the desirability of a simple game G and that of some simple games that are derived from G. We also provide an example of a proper simple game that has a complete and acyclic desirability relation but is not a weighted majority game.

Original languageEnglish
Pages (from-to)155-168
Number of pages14
JournalMathematical Social Sciences
Volume10
Issue number2
DOIs
StatePublished - 1 Jan 1985
Externally publishedYes

Keywords

  • Simple game
  • desirability relation

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