Abstract
The Generalized Berge-Zhukovskii equilibrium extends the Berge-Zhukovskii equilibrium problem by introducing constraints over the set of strategy profiles. The new equilibrium is computed in a dynamic environment by using an evolutionary dynamic equilibrium tracking algorithm. Numerical experiments for the generalized Cournot duopoly illustrate the capability of the approach.
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References
Arrow, K.J., Debreu, G.: Existence of an equilibrium for a competitive economy. Econometrica 22, 265–290 (1954)
Cardell, J.B., Hitt, C.C., Hogan, W.W.: Market power and strategic interaction in electricity networks. Resour. Energy Econ. 19(1–2), 109–137 (1997)
Cournot, A.: Recherches sur les Principes Mathematique de la Theorie des Richesses. Hachette, Paris (1838)
Deb, K.: An efficient constraint handling method for genetic algorithms. Comput. Methods Appl. Mech. Eng. 186(2–4), 311–338 (2000)
Debreu, G.: A social equilibrium existence theorem. Proc. Natl. Acad. Sci. USA 38(10), 886–893 (1952)
Gaskó, N., Dumitrescu, D., Lung, R.I.: Evolutionary detection of Berge and Nash equilibria. In: Pelta, D., Krasnogor, N., Dumitrescu, D., Chira, C., Lung, R. (eds.) Nature Inspired Cooperative Strategies for Optimization (NICSO 2011). Studies in Computational Intelligence, vol. 387, pp. 149–158. Springer, Heidelberg (2012)
Haurie, A., Krawczyk, J.: An introduction to dynamic games (2001)
Lasaulce, S., Tembine, H.: Game Theory and Learning for Wireless Networks: Fundamentals and Applications, 1st edn. Academic Press, Cambridge (2011)
Lung, R.I., Dumitrescu, D.: Computing Nash equilibria by means of evolutionary computation. Int. J. Comput. Commun. Control 3, 364–368 (2008)
Nash, J.: Non-cooperative games. Ann. Math. 54(2), 286–295 (1951)
Van Long, N.: A Survey of Dynamic Games in Economics: Volume 1 of World Scientific Books. World Scientific Publishing Co. Pte. Ltd. (2010)
Roos, C.F.: A mathematical theory of competition. Am. J. Math. 47(3), 163–175 (1925)
Storn, R., Price, K.: Differential evolution - a simple and efficient adaptive scheme for global optimization over continuous spaces. J. Glob. Optim. 11, 341–359 (1997)
Suciu, M., Gaskó, N., Lung, R.I., Dumitrescu, D.: Nash equilibria detection for discrete-time generalized cournot dynamic oligopolies. In: Terrazas, G., Otero, F., Masegosa, A. (eds.) Nature Inspired Cooperative Strategies for Optimization (NICSO 2013). Studies in Computational Intelligence, vol. 512, pp. 343–354. Springer, Heidelberg (2014)
Suciu, M., Lung, R.I., Gaskó, N., Dumitrescu, D.: Differential evolution for discrete-time large dynamic games (2013)
Van Veldhuizen, D.A., Lamont, G.B.: On measuring multiobjective evolutionary algorithm performance. In: Proceedings of the 2000 Congress on Evolutionary Computation, vol. 1, pp. 204–211 (2000)
Acknowledgments
This work was supported by a grant of the Romanian National Authority for Scientific Research and Innovation, CNCS - UEFISCDI, project number PN-II-RU-TE-2014-4-2560.
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Gaskó, N., Suciu, M., Lung, R.I. (2019). Dynamic Generalized Berge-Zhukovskii Equilibrium. In: Matoušek, R. (eds) Recent Advances in Soft Computing . MENDEL 2017. Advances in Intelligent Systems and Computing, vol 837. Springer, Cham. https://doi.org/10.1007/978-3-319-97888-8_28
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DOI: https://doi.org/10.1007/978-3-319-97888-8_28
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