A sequential partition method for non-cooperative games of bankruptcy problems

Top ◽  
2021 ◽  
Author(s):  
Doudou Gong ◽  
Genjiu Xu ◽  
Xuanzhu Jin ◽  
Loyimee Gogoi
2020 ◽  
Vol 11 (1) ◽  
pp. 127-134
Author(s):  
Konstantin Kudryavtsev ◽  
Ustav Malkov

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.


1986 ◽  
Vol 7 (3) ◽  
pp. 235-251 ◽  
Author(s):  
James W. Friedman ◽  
Robert W. Rosenthal

2014 ◽  
Vol 6 (1) ◽  
pp. 71-88
Author(s):  
Tamás László Balogh ◽  
János Kormos

Abstract Several behavioral game theory models aim at explaining why “smarter“ people win more frequently in simultaneous zero-sum games, a phanomenon, which is not explained by the Nash equilibrium concept. We use a computational model and a numerical simulation based on Markov chains to describe player behavior and predict payoffs.


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