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Delegation equilibrium payoffs in integer-splitting games∗

Published online by Cambridge University Press:  07 March 2013

Sylvain Sorin  and
Cheng Wan
Sylvain Sorin
Affiliation:
Combinatoire et Optimisation, IMJ, CNRS UMR 7586, Faculté de Mathématiques, Université P. et M. Curie – Paris 6, Tour 15-16, 1er étage, 4 Place Jussieu, 75005 Paris. sorin@math.jussieu.fr; cheng.wan.2005@polytechnique.org Laboratoire d’Econométrie, École Polytechnique, France
Cheng Wan
Affiliation:
Combinatoire et Optimisation, IMJ, CNRS UMR 7586, Faculté de Mathématiques, Université P. et M. Curie – Paris 6, Tour 15-16, 1er étage, 4 Place Jussieu, 75005 Paris. sorin@math.jussieu.fr; cheng.wan.2005@polytechnique.org
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Abstract

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 gamedelegation gamedelegation equilibrium payoffsconsistent delegation equilibrium payoffsconsistent chains
Type
Research Article
Information
RAIRO - Operations Research , Volume 47 , Issue 1 , January 2013 , pp. 47 - 58
Copyright
© EDP Sciences, ROADEF, SMAI, 2013

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