Implementation of the Shapley Value of Games with Coalition Structures
نویسنده
چکیده
The present paper studies non-cooperative bargaining models implementing a cooperative solution proposed by Kamijo(2005). The basic idea was inspired by the bidding approach of Perez-Castrillo and Wettstein(2001). They show that this mechanism achieves the Shapley value payoff vector in equilibrium. The solution concept considered in this paper is a generalized Shapley value applied to TU(transferable utility)games with coalition structures as well as the Aumann-Dreze value(Aumann and Dreze(1974))and the Owen value (Owen(1977)). We would like to discriminate between two types of cooperation behind the characteristic function. Therefore we present two bargaining models for each. JEL classification codes:C71;C72
منابع مشابه
Obtaining a possible allocation in the bankruptcy model using the Shapley value
Data envelopment analysis (DEA) is an effective tool for supporting decision-makers to assess bankruptcy, uncertainty concepts including intervals, and game theory. The bankruptcy problem with the qualitative parameters is an economic problem under uncertainty. Accordingly, we combine the concepts of the DEA game theory and uncertain models as interval linear programming (ILP), which can be app...
متن کاملDifference between the position value and the Myerson value is due to the existence of coalition structures
The paper characterizes the position value and the Myerson value for communication situations. The position value is originally defined as the sum of half the Shapley value of the link games but is also represented by the Shapley value of a modification of the link games. That modification is called the divided link games. In addition, by constructing coalition structures of the divided links f...
متن کاملAlternative Axiomatic Characterizations of the Grey Shapley Value
The Shapley value, one of the most common solution concepts of cooperative game theory is defined and axiomatically characterized in different game-theoretic models. Certainly, the Shapley value can be used in interesting sharing cost/reward problems in the Operations Research area such as connection, routing, scheduling, production and inventory situations. In this paper, we focus on the Shapl...
متن کاملA two-step Shapley value in a cooperative game with a coalition structure
In this paper, we study cooperative games with coalition structures. We show that a solution concept which applies the Shapley value to games interand intra-coalitions and in which the pure surplus that the coalition obtains is allocated among the intra-coalition members in egalitarian way, is axiomatized by modified axioms on null players and symmetric players and the usual three axioms: Effic...
متن کاملA Coalitional Value for Multichoice Games with a Coalition Structure
In this paper a new model of multichoice games with a coalition structure is proposed, which can be seen as an extension of the Owen coalition structure. A coalitional value on the given model is defined, which can be seen as an extension of the Owen value. Three axiomatic systems are studied. The first one is enlightened by Owen’s characterization for the Owen value and Faigle and Kern’s chara...
متن کامل