A note: characterizations of convex games by means of population monotonic allocation schemes

Jesús Getán (), Jesús Montes () and Carles Rafels ()

International Journal of Game Theory, 2014, vol. 43, issue 4, 879 pages

Abstract: Convex cooperative games were first introduced by Shapley (Int J Game Theory 1:11–26, 1971 ) while population monotonic allocation schemes (PMAS) were subsequently proposed by Sprumont (Games Econ Behav 2:378–394, 1990 ). In this paper we provide several characterizations of convex games and introduce three new notions: PMAS-extendability, PMAS-exactness, and population monotonic set schemes, which imitate the classical concepts that they extend. We show that all of these notions provide new characterizations of the convexity of the game. Copyright Springer-Verlag Berlin Heidelberg 2014

Keywords: Cooperative game; Convex game; Extendability; Exactness; Population monotonic allocation scheme (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s00182-013-0408-4

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