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A Two-Step Shapley Value for Cooperative Games with Coalition Structures

Kamijo, Yoshio - 2010

In this paper, we study cooperative games with coalition structures. We show that a solution concept that applies the Shapley value to games among and within coalitions and in which the pure surplus that the coalition obtains is allocated among the intra-coalition members in an egalitarian way,...

Persistent link: https://www.econbiz.de/10013142410

Share Functions for Cooperative Games with Levels Structure of Cooperation

Alvarez-Mozos, Mikel; van den Brink, Rene; van der … - 2012

In a standard TU-game it is assumed that every subset of the player set can form a coalition and earn its worth. One of the first models where restrictions in cooperation are considered is the one of games with coalition structure. In such games the player set is partitioned into unions and...

Persistent link: https://www.econbiz.de/10010326205

Centrality rewarding shapley and Myerson values for undirected graph games

Chmelnitskaja, Anna B.; Laan, Gerard van der; Talman, Dolf - 2016

In this paper we introduce two values for cooperative games with communication graph structure. For cooperative games the shapley value distributes the worth of the grand coalition amongst the players by taking into account the worths that can be obtained by any coalition of players, but does...

Persistent link: https://www.econbiz.de/10011531120

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 …

Persistent link: https://www.econbiz.de/10010532576

Supply chain reliability and the role of individual suppliers

Hagspiel, Simeon - 2016

game-theory, we propose a payoff scheme based on marginal contributions that explicitly accounts for the statistical …

Persistent link: https://www.econbiz.de/10011457022

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

Queueing problems with two parallel servers

Chun, Youngsub (contributor); Heo, Eun Jeong (contributor) - 2007

A group of agents are waiting for their job to be processed in a facility. We assume that each agent needs the same amount of processing time and incurs waiting costs. The facility has two parallel servers, being able to serve two agents at a time. We are interested in finding the order to serve...

Persistent link: https://www.econbiz.de/10003490372

A cooperative value for Bayesian games

Kalai, Adam Taumann; Kalai, Ehud - 2010

solution builds upon earlier concepts in game theory. It coincides with the von Neumann minmax value on the class of zero sum … decomposition of every game into cooperative and competitive components, which is easy to compute. -- cooperative game theory ; non …- cooperative game theory ; bargaining ; min-max value …

Persistent link: https://www.econbiz.de/10008665710

The Shapley value for airport and irrigation games

Márkus, Judit; Pintér, Miklós; Radványi, Anna - 2012

In this paper cost sharing problems are considered. We focus on problems on a rooted tree, we call these problems cost-tree problems, and on the induced transferable utility cooperative games, we call these games irrigation games. A formal notion of irrigation games is introduced, and the...

Persistent link: https://www.econbiz.de/10009511736

The restricted core for totally positive games with ordered players

Brink, René van den; Laan, Gerard van der; Vasilʹev, … - 2009

Recently, applications of cooperative game theory to economic allocation problems have gained popularity. In many such …

Persistent link: https://www.econbiz.de/10011378242