scholarly journals Cores of Cooperative Games, Superdifferentials of Functions, and the Minkowski Difference of Sets

2000 ◽  
Vol 247 (1) ◽  
pp. 1-14 ◽  
Author(s):  
Vladimir I. Danilov ◽  
Gleb A. Koshevoy
Keyword(s):  
Cooperative Games ◽  
Minkowski Difference

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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