The egalitarian solution for multichoice games

Hans Peters, Horst Zank

Research output: Contribution to journalArticlepeer-review


In a multichoice game a coalition is characterized by the level at which each player is acting, and to each coalition a real number is assigned. A multichoice solution assigns, for each multichoice game, a numerical value to each possible activity level of each player, intended to measure the contribution of each such level to reaching the grand coalition in which each player is active at the maximal level. The paper focuses on the egalitarian multichoice solution, characterized by the properties of Efficiency, Zero Contribution, Additivity, Anonymity, and Level Symmetry. The egalitarian solution is also shown to satisfy the property of marginalism: it measures the effect of lowering, ceteris paribus, a certain activity level by one. The solution is compared to a multichoice solution studied in Klijn, Slikker, and Zarzuelo (1999). Finally, it is discussed how the formalism of this paper can be applied to the different framework of multi-attribute utilities. © 2005 Springer Science + Business Media, Inc.
Original languageEnglish
Pages (from-to)399-409
Number of pages10
JournalAnnals of Operations Research
Issue number1
Publication statusPublished - Jul 2005


  • Egalitarian multichoice solution
  • Multichoice games


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