Fuzzy restrictions and an application to cooperative games with restricted cooperation

2017 ◽  
Vol 46 (7) ◽  
pp. 772-790 ◽  
Author(s):  
J. M. Gallardo ◽  
N. Jiménez ◽  
A. Jiménez-Losada
Keyword(s):  
Cooperative Games ◽  
Restricted Cooperation

PARTITIONING GAMES WITH RESTRICTED COOPERATION

2009 ◽  
Vol 11 (01) ◽  
pp. 99-109 ◽  
Author(s):  
IRIS AURIOL ◽  
EZIO MARCHI
Keyword(s):  
Cooperative Games ◽  
Linear Program ◽  
Large Classes ◽  
The Core ◽  
Restricted Cooperation

Partitioning games and games with restricted cooperation are general games which include large classes of different and important cooperative games. In this paper we combined both concepts and prove a generalization of the theorem of Quint [1991] which characterizes the core of the game by means of an appropriate linear program.

Stable Cooperation in a Game with a Major Player

2016 ◽  
Vol 18 (02) ◽  
pp. 1640005 ◽  
Author(s):  
Elena Parilina ◽  
Artem Sedakov
Keyword(s):  
Nash Equilibrium ◽  
Cooperative Games ◽  
Coalition Structure ◽  
Star Graph ◽  
Communication Structure ◽  
Myerson Value ◽  
Coalition Structures ◽  
Restricted Cooperation ◽  
Major Player ◽  
Analytical Expressions

The theory of cooperative games with restricted cooperation has been rapidly developing over the last decades. In our study, we present a special game with restricted cooperation — a game with a major player — a modified version of the landlord game presented in Moulin [1988]. Cooperation of players is supposed to be restricted by a communication structure (a star-graph) as well as a coalition structure. We adopt two well-known cooperative allocations — the Myerson value and the ES-value — to the case when there exist restrictions on the cooperation of players and provide their analytical expressions. Additionally, we examine stability of coalition structures using the concept of the Nash equilibrium and formulate conditions guaranteeing such stability for a given coalition structure.

Share-out in Cooperative Games under Uncertainty

1999 ◽  
Vol 31 (11) ◽  
pp. 10-14
Author(s):  
Vladislav I. Zhukovskiy ◽  
E. N. Opletayeva
Keyword(s):  
Cooperative Games

A stochastic approach to approximate values in cooperative games

2019 ◽  
Vol 279 (1) ◽  
pp. 93-106 ◽  
Author(s):  
Stefano Benati ◽  
Fernando López-Blázquez ◽  
Justo Puerto
Keyword(s):  
Cooperative Games ◽  
Stochastic Approach

scholarly journals Weak Berge Equilibrium in Finite Three-person Games: Conception and Computation

2020 ◽  
Vol 11 (1) ◽  
pp. 127-134
Author(s):  
Konstantin Kudryavtsev ◽  
Ustav Malkov
Keyword(s):  
Cooperative Games ◽  
Hippocratic Oath ◽  
The Other ◽  
Mixed Strategies ◽  
Finite Games ◽  
Moral Basis ◽  
Other Hand ◽  
Berge Equilibrium ◽  
Do No Harm ◽  
Non Cooperative Games

AbstractThe paper proposes the concept of a weak Berge equilibrium. Unlike the Berge equilibrium, the moral basis of this equilibrium is the Hippocratic Oath “First do no harm”. On the other hand, any Berge equilibrium is a weak Berge equilibrium. But, there are weak Berge equilibria, which are not the Berge equilibria. The properties of the weak Berge equilibrium have been investigated. The existence of the weak Berge equilibrium in mixed strategies has been established for finite games. The weak Berge equilibria for finite three-person non-cooperative games are computed.

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