Convex Games versus Clan Games

R. Brânzei, D.A. Dimitrov, S.H. Tijs

Research output: Working paperDiscussion paperOther research output

245 Downloads (Pure)

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
Place of PublicationTilburg
PublisherOperations research
Number of pages18
Volume2006-58
Publication statusPublished - 2006

Publication series

NameCentER Discussion Paper
Volume2006-58

Keywords

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

Fingerprint Dive into the research topics of 'Convex Games versus Clan Games'. Together they form a unique fingerprint.

  • Cite this

    Brânzei, R., Dimitrov, D. A., & Tijs, S. H. (2006). Convex Games versus Clan Games. (CentER Discussion Paper; Vol. 2006-58). Operations research.