Convex games versus clan games
Brânzei,R. Dimitrov,D.A. Tijs,S.H.
Brânzei,R.
Dimitrov,D.A.
Tijs,S.H.
Abstract
In this paper we provide characterizations of convex games and total clan games by using properties of their corresponding marginal games. We show that a "dualize and restrict" procedure transforms total clan games with zero worth for the clan into monotonic convex games. Furthermore, each monotonic convex game generates a total clan game with zero worth for the clan by a "dualize and extend" procedure. These procedures are also useful for relating core elements and elements of the Weber set of the corresponding games.
Description
Appeared earlier as CentER DP 0658
Date
2008
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Research Projects
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Citation
Brânzei, R, Dimitrov, D A & Tijs, S H 2008, 'Convex games versus clan games', International Game Theory Review, vol. 10, no. 4, pp. 363-372.