Reduced games and egalitarian solutions

Francesc Llerena () and Llúcia Mauri ()
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Francesc Llerena: Universitat Rovira i Virgili-CREIP
Llúcia Mauri: Universitat Rovira i Virgili-CREIP
Authors registered in the RePEc Author Service: Francesc Llerena Garrés

International Journal of Game Theory, 2016, vol. 45, issue 4, No 13, 1053-1069

Abstract: Abstract For a class of reduced games satisfying a monotonicity property, we introduce a family of set-valued solution concepts based on egalitarian considerations and consistency principles, and study its relation with the core. Regardless of the reduction operation we consider, the intersection between both sets is either empty or a singleton containing the lexmax solution Arin et al. (Math Soc Sci 46:327–345, 2003). This result induces a procedure for computing the lexmax solution for a class of games that contains games with large core Sharkey (Int J Game Theory 11:175–182, 1982).

Keywords: Cooperative game; Reduced games; Core; Lexmax solution (search for similar items in EconPapers)
JEL-codes: C71 C78 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (10)

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DOI: 10.1007/s00182-015-0504-8

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