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Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games

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Author Info
Caprari, E.
Tijs, S.H.
Torre, A. (Tilburg University, Center for Economic Research)
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.

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Paper provided by Tilburg University, Center for Economic Research in its series Discussion Paper with number 2008-8.

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Date of creation: 2008
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Handle: RePEc:dgr:kubcen:20088

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C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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  1. Funaki, Y. & Tijs, S.H. & Branzei, R., 2007. "Leximals, the Lexicore and the Average Lexicographic Value," Discussion Paper 2007-97, Tilburg University, Center for Economic Research. [Downloadable!]
  2. Monderer, Dov & Samet, Dov & Shapley, Lloyd S, 1992. "Weighted Values and the Core," International Journal of Game Theory, Springer, vol. 21(1), pages 27-39.
  3. Branzei, R. & Tijs, S., 2001. "Additivity regions for solutions in cooperative game theory," Discussion Paper 81, Tilburg University, Center for Economic Research. [Downloadable!]
  4. Caprari, E. & Patrone, F. & Pusillo, L. & Tijs, S. & Torre, A., 2006. "Share opportunity sets and cooperative games," Discussion Paper 115, Tilburg University, Center for Economic Research. [Downloadable!]
  5. Tijs, Stef, 2005. "The first steps with Alexia, the average lexicographic value," Discussion Paper 123, Tilburg University, Center for Economic Research. [Downloadable!]
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This page was last updated on 2008-7-2.

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