Meta-Rationality in Normal Form Games
Keywords:
non-cooperative games, evolutionary equilibrium detection, generative relations, Nash-Pareto, meta-strategyAbstract
A new generative relation for Nash equilibrium is proposed. Different types of equilibria are considered in order to incorporate players different rationality types for finite non cooperative generalized games with perfect information. Proposed equilibria are characterized by use of several generative relations with respect to players rationality. An evolutionary technique for detecting approximations for equilibria is used. Numerical experiments show the potential of the method.References
Bade, S., Haeringer, G., Renou, L.: More strategies, more Nash equilibria, Working Paper 2004-15, School of Economics University of Adelaide University, 2004.
Deb, K., Agrawal, S., Pratab, A., Meyarivan, T.: A Fast Elitist Non-Dominated Sorting Genetic Algorithm for Multi-Objective Optimization: NSGA-II, Marc Schoenauer, Kalyanmoy Deb, Günter Rudolph, Xin Yao, Evelyne Lutton, Juan Julian Merelo, and Hans-Paul Schwefel, editors, Proceedings of the Parallel Problem Solving from Nature VI Conference, Paris, France, 2000. Springer, Lecture Notes in Computer Science, 1917, 849-858. http://dx.doi.org/10.1007/3-540-45356-3_83
Deb, K.: Multi-objective optimization using evolutionary algorithms, Wiley, 2001.
Dumitrescu, D., Lung, R.I., Mihoc, T.D.: Evolutionary Equilibria Detection in Noncooperative Games, Book Series: LNCS, Publisher Springer Berlin / Heidelberg, Volume 5484 / 2009, Book: Applications of Evolutionary Computing, 2009, 253-262. http://dx.doi.org/10.1007/978-3-642-01129-0_29
Lung, R. I., Muresan, A. S., and Filip, D. A.: Solving multi-objective optimization problems by means of natural computing with application in finance, In Aplimat 2006 (Bratislava, February 2006), pp. 445-452.
Lung, R., I., Dumitrescu, D.: Computing Nash Equilibria by Means of Evolutionary Computation, Int. J. of Computers, Communications & Control, 2008, 364-368
Maskin, E. : The theory of implementation in Nash equilibrium:A survey, in: L. Hurwicz, D. Schmeidler and H. Sonnenschein, eds., Social Goals and Social Organization (Cambridge University Press), 1985,173-204
McKelvey, R., D., McLennan, A.: Computation of equilibria in finite games, In H. M. Amman, D. A. Kendrick, and J. Rust, editors, Handbook of Computational Economics, Elsevier,1996.
Nash.,J.,F.: Non-cooperative games, Annals of Mathematics, 54:286-295, 1951. http://dx.doi.org/10.2307/1969529
Osborne, M. J., Rubinstein, A.: A Course in Game Theory, MIT Press, Cambridge, MA, 1994
Published
Issue
Section
License
ONLINE OPEN ACCES: Acces to full text of each article and each issue are allowed for free in respect of Attribution-NonCommercial 4.0 International (CC BY-NC 4.0.
You are free to:
-Share: copy and redistribute the material in any medium or format;
-Adapt: remix, transform, and build upon the material.
The licensor cannot revoke these freedoms as long as you follow the license terms.
DISCLAIMER: The author(s) of each article appearing in International Journal of Computers Communications & Control is/are solely responsible for the content thereof; the publication of an article shall not constitute or be deemed to constitute any representation by the Editors or Agora University Press that the data presented therein are original, correct or sufficient to support the conclusions reached or that the experiment design or methodology is adequate.
