Matrix games

1994 ◽  
pp. 359-456
Author(s):  
Nicolai N. Vorob’ev
Keyword(s):  
Matrix Games

scholarly journals Coordinate Methods for Matrix Games

2020 ◽  
Author(s):  
Yair Carmon ◽  
Yujia Jin ◽  
Aaron Sidford ◽  
Kevin Tian
Keyword(s):  
Matrix Games

On the direct sum and tensor product of matrix games

1964 ◽  
Vol 11 (2) ◽  
pp. 205-215 ◽  
Author(s):  
Bertram Mond
Keyword(s):  
Tensor Product ◽  
Matrix Games ◽  
Direct Sum

scholarly journals Separation of cyclic and starlike hierarchical dominance in evolutionary matrix games

2017 ◽  
Vol 95 (1) ◽  
Author(s):  
György Szabó ◽  
Kinga S. Bodó ◽  
Keivan Aghababaei Samani
Keyword(s):  
Matrix Games

scholarly journals Playing a Game or Making a Decision? Methodological Issues in the Measurement of Distributional Preferences

Games ◽  
2018 ◽  
Vol 9 (4) ◽  
pp. 80 ◽  
Author(s):  
Matthias Greiff ◽  
Kurt Ackermann ◽  
Ryan Murphy
Keyword(s):  
Choice Behavior ◽  
Strategic Decision ◽  
Strategic Decision Making ◽  
Methodological Issues ◽  
Matrix Games ◽  
Role Assignment ◽  
Distributional Preferences ◽  
Within Subjects ◽  
Large Heterogeneity ◽  
The Way

In terms of role assignment and informational characteristics, different contexts have been used when measuring distributional preferences. This could be problematic as contextual variance may inadvertently muddle the measurement process. We use a within-subjects design and systemically vary role assignment as well as the way information is displayed to subjects when measuring distributional preferences in resource allocation tasks as well as proper games. Specifically we examine choice behavior in the contexts of role certainty, role uncertainty, decomposed games, and matrix games. Results show that there is large heterogeneity in the choices people make when deciding how to allocate resources between themselves and some other person under different contextual frames. For instance, people make more prosocial choices under role uncertainty as compared to role certainty. Furthermore, altering the way information is displayed given a particular situation can have a more dramatic effect on choice behavior than altering the situation itself. That is, depending on how information is displayed, people may behave as if they would perform a non-strategic decision making task when in fact they are playing a proper game characterized by strategic interdependence.

A Fast Approach to Solve Matrix Games with Payoffs of Trapezoidal Fuzzy Numbers

2016 ◽  
Vol 33 (06) ◽  
pp. 1650047 ◽  
Author(s):  
Sanjiv Kumar ◽  
Ritika Chopra ◽  
Ratnesh R. Saxena
Keyword(s):  
Linear Programming ◽  
Linear Programming Problem ◽  
Fuzzy Numbers ◽  
Optimization Problems ◽  
Fuzzy Linear Programming ◽  
Matrix Game ◽  
Matrix Games ◽  
Trapezoidal Fuzzy Numbers ◽  
Fast Approach ◽  
The Matrix

The aim of this paper is to develop an effective method for solving matrix game with payoffs of trapezoidal fuzzy numbers (TrFNs). The method always assures that players’ gain-floor and loss-ceiling have a common TrFN-type fuzzy value and hereby any matrix game with payoffs of TrFNs has a TrFN-type fuzzy value. The matrix game is first converted to a fuzzy linear programming problem, which is converted to three different optimization problems, which are then solved to get the optimum value of the game. The proposed method has an edge over other method as this focuses only on matrix games with payoff element as symmetric trapezoidal fuzzy number, which might not always be the case. A numerical example is given to illustrate the method.

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