A potential approach to solutions for set games

T.S.H. Driessen, H. Sun

Research output: Book/ReportReportOther research output

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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

Fingerprint

Game theory
Sun
Substitution reactions
Physics

Keywords

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

Cite this

Driessen, T. S. H., & Sun, H. (2001). A potential approach to solutions for set games. (Memorandum / Department of Applied Mathematics; No. 1571). Enschede: University of Twente, Department of Applied Mathematics.
Driessen, T.S.H. ; Sun, H. / A potential approach to solutions for set games. Enschede : University of Twente, Department of Applied Mathematics, 2001. 20 p. (Memorandum / Department of Applied Mathematics; 1571).
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Driessen, TSH & Sun, H 2001, A potential approach to solutions for set games. Memorandum / Department of Applied Mathematics, no. 1571, University of Twente, Department of Applied Mathematics, Enschede.

A potential approach to solutions for set games. / Driessen, T.S.H.; Sun, H.

Enschede : University of Twente, Department of Applied Mathematics, 2001. 20 p. (Memorandum / Department of Applied Mathematics; No. 1571).

Research output: Book/ReportReportOther research output

TY - BOOK

T1 - A potential approach to solutions for set games

AU - Driessen, T.S.H.

AU - Sun, H.

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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.

KW - MSC-03E15

KW - MSC-91A12

KW - MSC-91A44

M3 - Report

T3 - Memorandum / Department of Applied Mathematics

BT - A potential approach to solutions for set games

PB - University of Twente, Department of Applied Mathematics

CY - Enschede

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Driessen TSH, Sun H. A potential approach to solutions for set games. Enschede: University of Twente, Department of Applied Mathematics, 2001. 20 p. (Memorandum / Department of Applied Mathematics; 1571).