Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games

E. Caprari, S.H. Tijs, A. Torre

Research output: Working paperDiscussion paperOther research output

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Abstract

Inspired by Kalai-Samet [4] and Tijs [11], weighted average lexicographic values are introduced for share sets and for cores of cooperative games using induction arguments. Continuity properties and monotonicity properties of these weighted lexicographic values are studied. For subclasses of games (convex games, simplex games, big boss games) relations are established with weighted (exact) Shapley values.
Original languageEnglish
Place of PublicationTilburg
PublisherOperations research
Number of pages14
Volume2008-8
Publication statusPublished - 2008

Publication series

NameCentER Discussion Paper
Volume2008-8

Keywords

  • Cooperative games
  • average lexicographic value
  • weighted Shapley value

Cite this

Caprari, E., Tijs, S. H., & Torre, A. (2008). Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games. (CentER Discussion Paper; Vol. 2008-8). Tilburg: Operations research.
Caprari, E. ; Tijs, S.H. ; Torre, A. / Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games. Tilburg : Operations research, 2008. (CentER Discussion Paper).
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Caprari, E, Tijs, SH & Torre, A 2008 'Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games' CentER Discussion Paper, vol. 2008-8, Operations research, Tilburg.

Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games. / Caprari, E.; Tijs, S.H.; Torre, A.

Tilburg : Operations research, 2008. (CentER Discussion Paper; Vol. 2008-8).

Research output: Working paperDiscussion paperOther research output

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T1 - Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games

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AU - Torre, A.

N1 - Pagination: 14

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N2 - Inspired by Kalai-Samet [4] and Tijs [11], weighted average lexicographic values are introduced for share sets and for cores of cooperative games using induction arguments. Continuity properties and monotonicity properties of these weighted lexicographic values are studied. For subclasses of games (convex games, simplex games, big boss games) relations are established with weighted (exact) Shapley values.

AB - Inspired by Kalai-Samet [4] and Tijs [11], weighted average lexicographic values are introduced for share sets and for cores of cooperative games using induction arguments. Continuity properties and monotonicity properties of these weighted lexicographic values are studied. For subclasses of games (convex games, simplex games, big boss games) relations are established with weighted (exact) Shapley values.

KW - Cooperative games

KW - average lexicographic value

KW - weighted Shapley value

M3 - Discussion paper

VL - 2008-8

T3 - CentER Discussion Paper

BT - Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games

PB - Operations research

CY - Tilburg

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Caprari E, Tijs SH, Torre A. Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games. Tilburg: Operations research. 2008. (CentER Discussion Paper).