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Efficiency and collusion neutrality of solutions for cooperative TU-games
Brink, René van den - 2009
use efficiency which is not satisfied by the Banzhaf value. On the other hand, the Banzhaf value satisfies collusion … these axioms characterize the equal division solution. Further, we show that there is no solution that satisfies efficiency …, collusion neutrality and the null player property. Finally, we show that a solution satisfies efficiency, collusion neutrality …
Persistent link: https://www.econbiz.de/10011378796
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Efficient formulas and computational efficiency for glove games
Belau-Garmann, Julia - 2013
A well known and simple game to model markets is the glove game where worth is produced by building matching pairs. For glove games, different concepts, like the Shapley value, the restricted Shapley value or the Owen value, yield different distributions of worth. Moreover, computational effort...
Persistent link: https://www.econbiz.de/10010211890
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From hierarchies to levels : new solutions for games
Álvarez-Mozos, Mikel; Brink, René van den; Laan, … - 2015
Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many of these problems, players are organized according to either a hierarchical structure or a levels structure that restrict players ́possibilities to cooperate. In this paper, we...
Persistent link: https://www.econbiz.de/10010532576
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Supply chain reliability and the role of individual suppliers
Hagspiel, Simeon - 2016
properties of the problem. A number of desirable properties is thus achieved, including static efficiency as well as efficient …
Persistent link: https://www.econbiz.de/10011457022
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Pipeline power : a case study of strategic network investments ; conference paper
Hubert, Franz; Cobanli, Onur - 2014 - This version: January 2014
We use the Shapley value and the nucleolus to analyze the impact of three controversial pipeline projects on the power structure in the Eurasian trade of natural gas. Two pipelines, `Nord Stream' and `South Stream', allow Russian gas to bypass transit countries, Ukraine and Belarus. The third...
Persistent link: https://www.econbiz.de/10010490647
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Too big to prevail : the paradox of power in coalition formation
Ke, Changxia; Morath, Florian; Newell, Anthony; Page, Lionel - 2021
In standard coalition games, players try to form a coalition to secure a prize and a coalition agreement specifies how the prize is to be split among its members. However, in practical situations where coalitions are formed, the actual split of the prize often takes place after the coalition...
Persistent link: https://www.econbiz.de/10012550309
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Cooperative strategic games
Kohlberg, Elon; Neyman, Abraham - In: Theoretical economics : TE ; an open access journal in … 16 (2021) 3, pp. 825-851
The value is a solution concept for n-person strategic games, developed by Nash, Shapley, and Harsanyi. The value of a game is an a priori evaluation of the economic worth of the position of each player, reflecting the players' strategic possibilities, including their ability to make threats...
Persistent link: https://www.econbiz.de/10012806287
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Too big to prevail : the paradox of power in coalition formation
Ke, Changxia; Morath, Florian; Newell, Anthony; Page, Lionel - 2021
In standard coalition games, players try to form a coalition to secure a prize and a coalition agreement specifies how the prize is to be split among its members. However, in practical situations where coalitions are formed, the actual split of the prize often takes place after the coalition...
Persistent link: https://www.econbiz.de/10012494898
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A Minimal Test for Convex Games and the Shapley Value
Voorneveld, Mark; Grahn, Sofia - 2001
A set of necessary and sufficient conditions for convexity of a transferable utility game in terms of its decomposition into unanimity games is shown to be minimal: none of the conditions is redundant. The result is used to provide an axiomatization of the Shapley value on the set of convex games.
Persistent link: https://www.econbiz.de/10010321738
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Null or Zero Players: The Difference between the Shapley Value and the Egalitarian Solution
van den Brink, René - 2004
A situation in which a finite set of players can generate certain payoffs by cooperation can be described by a cooperative game with transferable utility. A solution for TU-games assigns to every TU-game a distribution of the payoffs that can be earned over the individual players. Two well-known...
Persistent link: https://www.econbiz.de/10010325253