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; Dipartimento di Matematica, Università di Genova, Via Dodecaneso 35, 16146, Genova, Italy) ANNA TORRE () (Dipartimento di Matematica, Università di Pavia, Via Ferrata 1, 27100, Pavia, Italy)
Abstract
In many share problems there is an a priori given 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.
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