Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games

Caprari, Elisa; Tijs, Stef H.; Torre, Anna

doi:10.2139/ssrn.1092418

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Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games

CentER Discussion Paper No. 2008-08

14 Pages Posted: 12 Feb 2008

See all articles by Elisa Caprari

Elisa Caprari

University of Pavia - Department of Business Research

Stef H. Tijs

Tilburg University - Center For Economic Research; Tilburg University - Department of Econometrics & Operations Research; Università degli Studi di Genova - Dipartimento di Matematica

Anna Torre

University of Pavia

Date Written: January 2008

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.

Keywords: cooperative games, average lexicographic value, weighted Shapley value

JEL Classification: C71

Suggested Citation: Suggested Citation

Caprari, Elisa and Tijs, Stef H. and Torre, Anna, Weighted Average Lexicographic Values for Share Sets and Balanced Cooperative Games (January 2008). CentER Discussion Paper No. 2008-08, Available at SSRN: https://ssrn.com/abstract=1092418 or http://dx.doi.org/10.2139/ssrn.1092418