Convex games, clan games, and their marginal games

Arbeitspapier

We provide characterizations of convex games and total clan games by using properties of their corresponding marginal games. As it turns out, a cooperative game is convex if and only if all its marginal games are superadditive, and a monotonic game satisfying the veto player property with respect to the members of a coalition C is a total clan game (with clan C) if and only if all its C-based marginal games are subadditive.

Object Details

• Language: Englisch

References and Relationships

• Bibliographic citation: Series: Working Papers ; No. 368

Classification and Topics

• Classification: Wirtschaft ; Cooperative Games
• Subject: Characterization ; Convex games ; Marginal games ; Subadditive games ; Superadditive games ; Total clan games ; Nichtkooperatives Spiel ; Koalition ; Theorie

Contributors, Places and Time

• Event: Geistige Schöpfung
• (who): Branzei, Rodica ; Dimitrov, Dinko
• Event: Veröffentlichung
• (who): Bielefeld University, Institute of Mathematical Economics (IMW)
• (where): Bielefeld
• (when): 2005

Further information

• Handle: http://hdl.handle.net/10419/43799
• URN: urn:nbn:de:hbz:361-7332
• Last update: 10.03.2025, 11:45 AM CET