This work studies a new strategic game called delegation game. A delegation game is associated to a basic game with a finite number of players where each player has a finite integer weight and her strategy consists in dividing it into several integer parts and assigning each part to one subset of finitely many facilities. In the associated delegation game, a player divides her weight into several integer parts, commits each part to an independent delegate and collects the sum of their payoffs in the basic game played by these delegates. Delegation equilibrium payoffs, consistent delegation equilibrium payoffs and consistent chains inducing these ones in a delegation game are defined. Several examples are provided.

Keywords: basic integer-splitting game, delegation game, delegation equilibrium payoffs, consistent delegation equilibrium payoffs, consistent chains

@article{RO_2013__47_1_47_0, author = {Sorin, Sylvain and Wan, Cheng}, title = {Delegation equilibrium payoffs in integer-splitting games}, journal = {RAIRO - Operations Research - Recherche Op\'erationnelle}, pages = {47--58}, publisher = {EDP-Sciences}, volume = {47}, number = {1}, year = {2013}, doi = {10.1051/ro/2013026}, mrnumber = {3143741}, zbl = {1272.91021}, language = {en}, url = {http://archive.numdam.org/articles/10.1051/ro/2013026/} }

TY - JOUR AU - Sorin, Sylvain AU - Wan, Cheng TI - Delegation equilibrium payoffs in integer-splitting games JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2013 SP - 47 EP - 58 VL - 47 IS - 1 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/ro/2013026/ DO - 10.1051/ro/2013026 LA - en ID - RO_2013__47_1_47_0 ER -

%0 Journal Article %A Sorin, Sylvain %A Wan, Cheng %T Delegation equilibrium payoffs in integer-splitting games %J RAIRO - Operations Research - Recherche Opérationnelle %D 2013 %P 47-58 %V 47 %N 1 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/ro/2013026/ %R 10.1051/ro/2013026 %G en %F RO_2013__47_1_47_0

Sorin, Sylvain; Wan, Cheng. Delegation equilibrium payoffs in integer-splitting games. RAIRO - Operations Research - Recherche Opérationnelle, Volume 47 (2013) no. 1, pp. 47-58. doi : 10.1051/ro/2013026. http://archive.numdam.org/articles/10.1051/ro/2013026/

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