Weighted constrained egalitarianism in TU-games
نویسنده
چکیده
The constrained egalitarian solution of Dutta and Ray (1989) for TUgames is extended to asymmetric cases, using the notion of weight systems as in Kalai and Samet (1987,1988). This weighted constrained egalitarian solution is based on the weighted Lorenz-criterion as an inequality measure. It is shown that in general there is at most one such weighted egalitarian solution for TU-games. Existence is proved for the class of convex games. Furthermore, the core of a postive valued convex game is covered by weighted constrained egalitarian solutions. JEL Classi cation: A13, C71, D31, D63
منابع مشابه
Constrained coalitional games: formal framework, properties, and complexity results
A general approach to define constrained coalitional games is proposed, i.e., TU games where additional, applicationoriented constraints are imposed on the possible outcomes. It is observed that constrained games are succinct NonTransferable (NTU) specifications, which yet retain (some of) the nice properties of the underlying TU games. In fact, a clear picture about the preservation properties...
متن کاملEgalitarianism in convex fuzzy games
In this paper the egalitarian solution for convex cooperative fuzzy games is introduced. The classical Dutta-Ray algorithm for finding the constrained egalitarian solution for convex crisp games is adjusted to provide the egalitarian solution of a convex fuzzy game. This adjusted algorithm is also a finite algorithm, because the convexity of a fuzzy game implies in each step the existence ∗This...
متن کاملEqual sharing solutions for bicooperative games
In this paper, we discuss the egalitarianism solution (ES) and center-of-gravity of the imputation-set value (CIV) for bicooperative games, which can be seen as the extensions of the solutions for traditional games given by Dutta and Ray [1] and Driessen and Funaki [2]. Furthermore, axiomatic systems for the given values are proposed. Finally, a numerical example is offered to illustrate the pl...
متن کاملA common ground for resource and welfare egalitarianism
Resource egalitarianism and welfare egalitarianism are two focal conceptions of distributive justice. We show in this paper that they share a solid common ground. To do so, we analyze a simple model of resource allocation in which agents’ abilities (to transform the resource into an interpersonally comparable outcome) and starting points may differ. Both conceptions of egalitarianism are natura...
متن کاملPotential maximizers and network formation
In this paper we study the formation of cooperation structures in superadditive cooperative TU-games. Cooperation structures are represented by hypergraphs. The formation process is modelled as a game in strategic form, where the payoffs are determined according to a weighted (extended) Myerson value. This class of solution concepts is the unique class resulting in weighted potential games. The...
متن کامل