Theory 8: Mixed Strategies

2014 ◽  
pp. 199-211
Keyword(s):  
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.


Analysis ◽  
2011 ◽  
Vol 71 (4) ◽  
pp. 642-645 ◽  
Author(s):  
B. Monton

2001 ◽  
Vol 34 (2) ◽  
pp. 200-226 ◽  
Author(s):  
Ken Binmore ◽  
Larry Samuelson
Keyword(s):  

2000 ◽  
Vol 44 (8) ◽  
pp. 1557-1576 ◽  
Author(s):  
Nikolaos Vettas
Keyword(s):  

2007 ◽  
Vol 03 (02) ◽  
pp. 259-269 ◽  
Author(s):  
AREEG ABDALLA ◽  
JAMES BUCKLEY

In this paper, we consider a two-person zero-sum game with fuzzy payoffs and fuzzy mixed strategies for both players. We define the fuzzy value of the game for both players [Formula: see text] and also define an optimal fuzzy mixed strategy for both players. We then employ our fuzzy Monte Carlo method to produce approximate solutions, to an example fuzzy game, for the fuzzy values [Formula: see text] for Player I and [Formula: see text] for Player II; and also approximate solutions for the optimal fuzzy mixed strategies for both players. We then look at [Formula: see text] and [Formula: see text] to see if there is a Minimax theorem [Formula: see text] for this fuzzy game.


2020 ◽  
pp. 165-194
Author(s):  
Manfred J. Holler ◽  
Barbara Klose-Ullmann

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