Convex Games versus Clan Games

R. Brânzei, D.A. Dimitrov, S.H. Tijs

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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
Place of PublicationTilburg
PublisherOperations research
Number of pages18
Publication statusPublished - 2006

Publication series

NameCentER Discussion Paper


  • convex games
  • core
  • dual games
  • marginal games
  • total clan games
  • Weber set


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