A potential approach to solutions for set games

T.S.H. Driessen, H. Sun

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Abstract

Concerning the solution theory for set games, the paper introduces a new solution by allocating, to any player, the items (taken from an universe) that are attainable for the player, but can not be blocked (by any coalition not containing the player). The resulting value turns out to be an utmost important concept for set games to characterize the family of set game solutions that possess a so-called potential representation (similar to the potential approaches applied in both physics and cooperative game theory). An axiomatization of the new value, called Driessen--Sun value, is given by three properties, namely one type of an efficiency property, the substitution property and one type of a monotonocity property.
Original languageEnglish
Place of PublicationEnschede
PublisherUniversity of Twente, Department of Applied Mathematics
Number of pages20
Publication statusPublished - 2001

Publication series

NameMemorandum / Department of Applied Mathematics
PublisherFaculty of Mathematical Sciences, University of Twente
No.1571
ISSN (Print)0169-2690

Keywords

  • MSC-03E15
  • MSC-91A12
  • MSC-91A44

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