Completely Mixed Strategies in Bimatrix Games

1970 ◽  
Vol 2 (Part_4) ◽  
pp. 709-712 ◽  
Author(s):  
T. E. S. Raghavan
2021 ◽  
Vol 16 (2) ◽  
pp. 449-475
Author(s):  
Harry Pei

I study a repeated game in which a patient player wants to win the trust of some myopic opponents, but can strictly benefit from betraying them. His benefit from betrayal is strictly positive and is his persistent private information. I characterize every type of patient player's highest equilibrium payoff and construct equilibria that attain this payoff. Since the patient player's Stackelberg action is mixed and motivating the lowest‐benefit type to play mixed actions is costly, every type's highest equilibrium payoff is strictly lower than his Stackelberg payoff. In every equilibrium where the patient player approximately attains his highest equilibrium payoff, no type of the patient player plays stationary strategies or completely mixed strategies.


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.


2021 ◽  
pp. 002200272199417
Author(s):  
Vesna Danilovic ◽  
Joe Clare

Our study compares the efficacy of mixed bargaining strategies to strict coercion or accommodation. While mixed strategies can be approached from different conceptual angles, we focus on flexible and/or firm postures as signaling properties of bargaining. In our theory and empirical analysis, we show that the combination of firmness with flexibility on both sides, without necessarily scripted rules as in tit-for-tat, leads to peaceful resolution without unilateral concessions. Its opposite, resolute firmness is unlikely to make the opponent yield, as assumed in influential literature of the traditional canon. If anything, war is most likely when both sides opt for it. We provide the theoretical rationale for these expectations, which are validated in our empirical analysis of the ICB crisis dataset for the 1918 to 2015 period. Our study also points to the bargaining process as a potential causal mechanism between democracy and peace, and therefore has relevant implications for several research strands.


1993 ◽  
Vol 25 (10-11) ◽  
pp. 19-25 ◽  
Author(s):  
P.E.M. Borm ◽  
M.J.M. Jansen ◽  
J.A.M. Potters ◽  
S.H. Tijs

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