Pareto–Nash Equilibria in Bicriterial Dyadic Games with Mixed Strategies

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Consider a dyadic two-criteria Pareto–Nash game in mixed strategies. Player 1 (blue graph) has two payoff matrices and . Player 2 (green graph) also has two payoff matrices, and . The set of Pareto–Nash equilibria (red) is determined as the intersection of the graphs of Pareto response mapping of the players.

Contributed by: Victoria Lozan and Valeriu Ungureanu (October 2011)
Open content licensed under CC BY-NC-SA


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References

[1] V. Lozan and V. Ungureanu, "Sets of Pareto–Nash–Stackelberg Equilibria in Strategic Games," in ISCOPAM 2010, Romania: Alexandru Ioan Cuza University, 2011 pp. 113–124.

[2] V. Ungureanu and V. Lozan, "Pareto–Nash Equilibrium Principles," Studia Univeritatis, 27, 2009 pp. 52–56.



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