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Convex games versus clan games

Branzei R, Dimitrov D, Tijs S (2006)
Bielefeld: Universität Bielefeld.
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URN
urn:nbn:de:hbz:361-9098
Working Paper | Published | English
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Department
Institut für mathematische Wirtschaftsforschung
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.
Keywords
Total clan games ; Marginal games ; Dual games ; Convex games ; Core ; Weber set
Year
2006
ISSN
0931-6558
PUB-ID
2315634 | Link:
 
Cite this
Branzei R, Dimitrov D, Tijs S. Convex games versus clan games. IMW working papers. Bielefeld: Universität Bielefeld; 2006.
Branzei , R., Dimitrov, D., & Tijs , S. (2006). Convex games versus clan games . Bielefeld: Universität Bielefeld.
Branzei , R., Dimitrov, D., and Tijs , S. (2006). Convex games versus clan games. Bielefeld: Universität Bielefeld.
Branzei , R., Dimitrov, D., & Tijs , S., 2006. Convex games versus clan games, Bielefeld: Universität Bielefeld.
R. Branzei, D. Dimitrov, and S. Tijs, Convex games versus clan games, Bielefeld: Universität Bielefeld, 2006.
Branzei , R., Dimitrov, D., Tijs , S.: Convex games versus clan games. Universität Bielefeld, Bielefeld (2006).
Branzei , Rodica, Dimitrov, Dinko, and Tijs , Stef. Convex games versus clan games. Bielefeld: Universität Bielefeld, 2006.
@misc{2315634,
  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.},
  author       = {Branzei , Rodica and Dimitrov, Dinko and Tijs , Stef},
  issn         = {0931-6558},
  language     = {English},
  number       = {381},
  publisher    = {Universit{\"a}t Bielefeld},
  title        = {Convex games versus clan games},
  year         = {2006},
}


TY  - GEN
ID  - 2315634
TI  - Convex games versus clan games
AU  - Branzei , Rodica
AU  - Dimitrov, Dinko
AU  - Tijs , Stef
PY  - 2006
AB  - 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.
KW  - Total clan games
KW  - Marginal games
KW  - Dual games
KW  - Convex games
KW  - Core
KW  - Weber set
IS  - 381
PB  - Universität Bielefeld
SN  - 0931-6558
U3  - PUB:ID 2315634
UR  - http://www.imw.uni-bielefeld.de/papers/files/imw-wp-381.pdf
UR  - http://nbn-resolving.de/urn:nbn:de:hbz:361-9098
ER  -
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