On symmetric bimatrix games

Forgó, Ferenc (2018) On symmetric bimatrix games. Working Paper. Corvinus University of Budapest Faculty of Economics, Budapest.

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Computation of Nash equilibria of bimatrix games is studied from the viewpoint of identifying polynomially solvable cases with special attention paid to symmetric random games. An experiment is conducted on a sample of 500 randomly generated symmetric games with matrix size 12 and 15. Distribution of support size and Nash equilibria are used to formulate a conjecture: for finding a symmetric NEP it is enough to check supports up to size 4 whereas for non-symmetric and all NEP's this number is 3 and 2, respectively. If true, this enables us to use a Las Vegas algorithm that finds a Nash equilibrium in polynomial time with high probability.

Item Type:Monograph (Working Paper)
Series Name:Corvinus Economics Working Papers - CEWP
Series Number / Identification Number:2018/04
Uncontrolled Keywords:bimatrix game, random games, experimental games, complexity
JEL classification:C72 - Noncooperative Games
Subjects:Mathematics, Econometrics
Projects:NKFI K-1 119930
ID Code:3747
Deposited By: Ádám Hoffmann
Deposited On:07 Nov 2018 09:38
Last Modified:30 Nov 2018 11:50

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