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Convex games, clan games, and their marginal games

Branzei R, Dimitrov D, Tijs S (2005)
Bielefeld: Universität Bielefeld.
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URN
urn:nbn:de:hbz:361-7332
Working Paper | Published | English
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Department
Institut für mathematische Wirtschaftsforschung
Abstract:
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.
Keywords
Superadditive games ; Subadditive games ; Marginal games ; Characterization ; Convex games ; Total clan games
Year
2005
ISSN
0931-6558
PUB-ID
2315498 | Link:
 
Cite this
Branzei R, Dimitrov D, Tijs S. Convex games, clan games, and their marginal games. IMW working papers. Bielefeld: Universität Bielefeld; 2005.
Branzei , R., Dimitrov, D., & Tijs , S. (2005). Convex games, clan games, and their marginal games . Bielefeld: Universität Bielefeld.
Branzei , R., Dimitrov, D., and Tijs , S. (2005). Convex games, clan games, and their marginal games. Bielefeld: Universität Bielefeld.
Branzei , R., Dimitrov, D., & Tijs , S., 2005. Convex games, clan games, and their marginal games, Bielefeld: Universität Bielefeld.
R. Branzei, D. Dimitrov, and S. Tijs, Convex games, clan games, and their marginal games, Bielefeld: Universität Bielefeld, 2005.
Branzei , R., Dimitrov, D., Tijs , S.: Convex games, clan games, and their marginal games. Universität Bielefeld, Bielefeld (2005).
Branzei , Rodica, Dimitrov, Dinko, and Tijs , Stef. Convex games, clan games, and their marginal games. Bielefeld: Universität Bielefeld, 2005.
@misc{2315498,
  abstract     = {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.},
  author       = {Branzei , Rodica and Dimitrov, Dinko and Tijs , Stef},
  issn         = {0931-6558},
  language     = {English},
  number       = {368},
  publisher    = {Universit{\"a}t Bielefeld},
  title        = {Convex games, clan games, and their marginal games},
  year         = {2005},
}


TY  - GEN
ID  - 2315498
TI  - Convex games, clan games, and their marginal games
AU  - Branzei , Rodica
AU  - Dimitrov, Dinko
AU  - Tijs , Stef
PY  - 2005
AB  - 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.
KW  - Superadditive games
KW  - Subadditive games
KW  - Marginal games
KW  - Characterization
KW  - Convex games
KW  - Total clan games
IS  - 368
PB  - Universität Bielefeld
SN  - 0931-6558
U3  - PUB:ID 2315498
UR  - http://www.imw.uni-bielefeld.de/papers/files/imw-wp-368.pdf
UR  - http://nbn-resolving.de/urn:nbn:de:hbz:361-7332
ER  -
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