Convex games versus clan games

R. Brânzei, D.A. Dimitrov, S.H. Tijs

Research output: Contribution to journalArticleScientificpeer-review

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.
Original languageEnglish
Pages (from-to)363-372
JournalInternational Game Theory Review
Volume10
Issue number4
Publication statusPublished - 2008

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Convex Games
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Brânzei, R., Dimitrov, D. A., & Tijs, S. H. (2008). Convex games versus clan games. International Game Theory Review, 10(4), 363-372.
Brânzei, R. ; Dimitrov, D.A. ; Tijs, S.H. / Convex games versus clan games. In: International Game Theory Review. 2008 ; Vol. 10, No. 4. pp. 363-372.
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Brânzei, R, Dimitrov, DA & Tijs, SH 2008, 'Convex games versus clan games' International Game Theory Review, vol. 10, no. 4, pp. 363-372.

Convex games versus clan games. / Brânzei, R.; Dimitrov, D.A.; Tijs, S.H.

In: International Game Theory Review, Vol. 10, No. 4, 2008, p. 363-372.

Research output: Contribution to journalArticleScientificpeer-review

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Brânzei R, Dimitrov DA, Tijs SH. Convex games versus clan games. International Game Theory Review. 2008;10(4):363-372.