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This paper studies information collecting (IC) situations with the help of cooperative game theory. Relations are established between IC situations and IC games on one hand and information sharing (IS) situations and IS games on the other hand. Further, it is shown that IC games are convex...
Persistent link: https://www.econbiz.de/10010847958
A class of cooperative games arising from economic and operations research situations in which agents with potential …
Persistent link: https://www.econbiz.de/10010847965
A Harsanyi payoff vector (see Vasil’ev in Optimizacija Vyp 21:30–35, 1978) of a cooperative game with transferable utilities is obtained by some distribution of the Harsanyi dividends of all coalitions among its members. Examples of Harsanyi payoff vectors are the marginal contribution...
Persistent link: https://www.econbiz.de/10010759277
In this note we show that the mathematical tools of cooperative game theory allow a successful approach to the statistical problem of estimating a density function. Specifically, any random sample of an absolutely continuous random variable determines a transferable utility game, the Shapley...
Persistent link: https://www.econbiz.de/10010759187
A class of cooperative TU-games arising from shortest path problems is introduced and analyzed. Some conditions under which a shortest path game is balanced are obtained. Also an axiomatic characterization of the Shapley value for this class of games is provided. Copyright Springer-Verlag Berlin...
Persistent link: https://www.econbiz.de/10010759405
This paper introduces a new class of cooperative games called externality games. In these games each player contributes with their specific endowment and also with their presence to the total worth of the coalition she belongs to. We prove that for these games there exists a unique efficient,...
Persistent link: https://www.econbiz.de/10010759423
We provide two new characterizations of exact games. First, a game is exact if and only if it is exactly balanced; and second, a game is exact if and only if it is totally balanced and overbalanced. The condition of exact balancedness is identical to the one of balancedness, except that one of the...
Persistent link: https://www.econbiz.de/10010847658
This article shows that, for any transferable utility game in coalitional form with a nonempty coalition structure core, the number of steps required to switch from a payoff configuration out of the coalition structure core to a payoff configuration in the coalition structure core is less than...
Persistent link: https://www.econbiz.de/10010847829
In order to describe partial cooperation structures, this paper introduces complete coalition structures as sets of feasible coalitions. A complete coalition structure has a property that, for any coalition, if each pair of players in the coalition belongs to some feasible coalition contained in...
Persistent link: https://www.econbiz.de/10010847837
The potential approach of value theory is extended with respect to a new characterizing property called conservation … giving a clear interpretation of the potential. Many analogues between game theory and physics are presented. Particularly …
Persistent link: https://www.econbiz.de/10010759192