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One of the main issues in economics is the trade-off between marginalism and egalitarianism. In the context of cooperative games this trade-off can be framed as one of choosing to allocate according to the Shapley value or the equal division solution. In this paper we provide tools that make it...
Persistent link: https://www.econbiz.de/10005144455
a player such that any coalition containing this player earns a fraction delta in [0,1] of the worth of that coalition …
Persistent link: https://www.econbiz.de/10008838630
This contribution deals with the fundamental critique in Dinar et al. (1992, Theory and Decision 32) on the use of Game theory in water management: People are reluctant to monetary transfers unrelated to water prices and game theoretic solutions impose a computational burden. For the bilateral...
Persistent link: https://www.econbiz.de/10005137218
In this paper the well-known minimax theorems of Wald, Ville and Von Neumann are generalized under weaker topological conditions on the payoff function <i>f</i> and/or extended to the larger set of the Borel probability measures instead of the set of mixed strategies.
Persistent link: https://www.econbiz.de/10005450809
A situation in which a finite set of players can obtain certain payoffs by cooperation can be described by a cooperative game with transferable utility, or simply a TU-game. A solution for TU-games assigns a set of payoff distributions (possibly empty or consisting of a unique element) to every...
Persistent link: https://www.econbiz.de/10005209512
Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many such allocation problems, such as river games, queueing games and auction games, the game is totally positive (i.e., all dividends are nonnegative), and there is some hierarchical...
Persistent link: https://www.econbiz.de/10005016260
limited cooperation possibilities by assigning to every coalition the worth of its largest feasible subset. In this paper we …
Persistent link: https://www.econbiz.de/10005144441
Recently, cooperative game theory has been applied to various economic allocation problems in which players are not fully anonymous but belong to some relational structure. One of the most developed models in this respect are communications situations or (symmetric) network situations in which...
Persistent link: https://www.econbiz.de/10005144486
In this paper we consider the problem of the control of access to a firm's productive asset, embedding the relevant decision makers into a general structure of formal authority relations. Within such an authority structure, each decision maker acts as a principal to some decision makers, while...
Persistent link: https://www.econbiz.de/10005144514
cooperative games where every subset of a set of agents can form a coalition to execute the game. In this paper, the set of …
Persistent link: https://www.econbiz.de/10009293667