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An Axiomatization of the Shapley Value Using a Fairness Property

van den Brink, J.R. - Tilburg University, Center for Economic Research - 1999

In this paper we provide an axiomatization of the Shapley value for TU- games using a fairness property. This property …. We show that the Shapley value is characterized by this fairness property, efficiency and the null player property. These …

Persistent link: https://www.econbiz.de/10011091302

Game theory

Rosenmüller, Joachim; Trockel, Walter - 2001

Game Theory describes human interaction involving conflict, cooperation and competition, the term Interpersonal Decision Theory is synonymous. The term reflects the fact that most essential features of this field are manifested in parlor games. This topic-level treatment covers large parts of...

Persistent link: https://www.econbiz.de/10010272574

The component fairness solution for cycle-free graph games

Herings, Peter Jean-Jacques; Laan, Gerard van der; … - 2005

with one another. We introduce a new single-valued solution concept, the component fairness solution. Our solution is … characterized by component efficiency and component fairness. The interpretation of component fairness is that deleting a link … the players in the component. Component fairness replaces the axiom of fairness characterizing the Myerson value, where …

Persistent link: https://www.econbiz.de/10011348360

Values of games with weighted graphs

González-Arangüena, Enrique; Manuel, Conrado Miguel; … - In: European journal of operational research : EJOR 243 (2015) 1, pp. 248-257

Persistent link: https://www.econbiz.de/10010492964

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

From hierarchies to levels : new solutions for games with hierarchical structure

Álvarez-Mozos, Mikel; Brink, René van den; Laan, … - 2015

Persistent link: https://www.econbiz.de/10011280073

From Hierarchies to Levels: New Solutions for Games with Hierarchical Structure

Álvarez-Mozos, Mikel; van den Brink, Rene; van der … - 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/10011753279

The locally partial permission value for games with a permission structure

Wu, Hao; van den Brink, Rene; Estevez-Fernandez, Arantza - 2022

Cooperative games with a permission structure are useful tools for analyzing the impact of hierarchical structures on allocation problems in Economics and Operations Research. In this paper, we propose a generalization of the local disjunctive and the local conjunctive permission approaches...

Persistent link: https://www.econbiz.de/10013356493

Harsanyi Solutions in Line-graph Games

van den Brink, René; van der Laan, Gerard; Vasil'ev, Valeri - 2003

Recently, applications of cooperative game theory to economicallocation problems have gained popularity. To understandthese applications better, economic theory studies thesimilarities and differences between them. The purpose of thispaper is to investigate a special class of cooperative...

Persistent link: https://www.econbiz.de/10010324954

Distributing Dividends in Games with Ordered Players

van den Brink, René; van der Laan, Gerard; Vasil'ev, Valeri - 2007

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 vectors to every TU-game. Some solutions that are based on distributing...

Persistent link: https://www.econbiz.de/10010325185