SHARE OPPORTUNITY SETS AND COOPERATIVE GAMES

Elisa Caprari (), Fioravante Patrone (), Lucia Pusillo (), Stef Tijs () and Anna Torre ()
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Elisa Caprari: Dipartimento di Ricerche Aziendali, Università di Pavia, Via S. Felice 5, 27100, Pavia, Italy
Fioravante Patrone: Dipartimento di Ingegneria della Produzione, Termoenergetica e Modelli Matematici, Università di Genova, p.le Kennedy Pad. D, 16129 Genova, Italy
Lucia Pusillo: Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146, Genova, Italy
Stef Tijs: Center and Department of Econometrics and Operations Research Tilburg University, P.O. Box 90153, 5000 LE Tilburg, The Netherlands;
Anna Torre: Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100, Pavia, Italy

International Game Theory Review (IGTR), 2008, vol. 10, issue 02, 205-218

Abstract: In many share problems there is ana priorigiven a natural set of possible divisions to solve the sharing problem. Cooperative games related to such share sets are introduced, which may be helpful in solving share problems. Relations between properties of share sets and properties of games are investigated. The average lexicographic value for share sets and for cooperative games is studied.

Keywords: Cooperative games; bankruptcy games; average lexicographic value; opportunity sets; C71 (search for similar items in EconPapers)
JEL-codes: B4 C0 C6 C7 D5 D7 M2 (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0219198908001881

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