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Warianty tytułu
Dynamiczna gra ewolucyjna związana zdużymi grami i dynamiką replikatorową
Języki publikacji
Abstrakty
This article contains construction of multipopulation evolutionary game based on elementary large games and replicator dynamics. For this purpose a multipopulation model with payoff depending of interspecific proportions (metasimplex concept) was developed. Article also contains a comparson of classical evolutionary game theory solutions with a new theory.
Praca zawiera konstrukcję wielopopulacyjnej gry ewolucyjnej opartej o aparat elementarnych dużych gier i dynamikę replikatorową. Do tego celu wykorzystano model wielopopulacyjny uwzględniający zmienność proporcji międzygatunkowych (koncepcja metasympleksu). W pracy znajduje się również porównanie aparatu z rozwiązaniami klasycznej teorii gier ewolucyjnych.
Wydawca
Rocznik
Tom
Strony
1--32
Opis fizyczny
Bibliogr. 21 poz., rys.
Twórcy
autor
- Institute of Computer Science of Polish Academy of Sciences, Ordona 21, 01-237 Warsaw, POland, argass@poczta.onet.pl
Bibliografia
- [1] E. Akin, 1979. The geometry of population genetics. Lecture Notes in Biomathematics 31. Springer
- [2] E. Akin, 1982. Exponential families and game dynamics, Canadian Journal of Mathematics 34
- [3] E. Akin, V. Losert, 1983, Dynamics of Games and Genes: Discrete Versus Continuous Time. Journal of Mathematical Biology 17, 241-251
- [4] 1. M. Bomze, B. M. Potscher. 1989, Game theoretical foundations of evolutionary stability. Lecture Notes in Economic and Mathematical Systems 324. Springer
- [5] T. Borgers, R. Sarin, 1997, Learning Through Reinforcement and Replicator Dynamics. Journal of Economical Theory 77 ,1
- [6] Yin-Wong Cheung. D. Friedmann, 1988. Companion of Learning and Replicator Dynamics using Experimental Data. Journal of Economic Behaviour and Organization 15. 263-280
- [7] R. Cressman, 1995, Evolutionary game theory with two groups of individuals. Games and Economic Behavior 11, 237-253
- [8] R. Cressman, 1992, The stability concept of evolutionary game theory, Springer
- [9] R. Cressman, A. T. Dash E. Akin. 1990. Evolutionary games and two species population dynamics, Journal of Mathematical Biology 23, 221-230
- [10] J. Hofbauer, 1996, Evolutionary dynamics for bimatrix games: A Hamiltonian system. Journal of Mathematical Biology 54. 675-688
- [11 ] J. Hofbauer, K. Sigmund, 1988. The theory of evolution and dynamical systems. Cambridge University Press
- [12] J. Hofbauer, K. Sigmund, 1990, Evolutionary Games and Population Dynamics. Cambridge University Press
- [13] J. Maynard Smith, 1982, Evolution and the theory of games, Cambridge University Press
- [14] J. Maynard Smith. 1974, The theory of games and evolution of animal conflict, J. Theor. Biol. 47. 209-221
- [ 15] J. Maynard Smith, G. Price, 1973, The logic of animal conflict. Nature 245, 15-18
- [16] G. Owen, 1968, Game theory, Saunders
- [17] Y. Sato, J. P. Cruchfield, 2002, Coupled Replicator Equations for the Dynamics of Learning in Multiagent Systems, Santa Fe Institute works
- [18] P. D. Taylor L. Jonker, 1978. Evolutionary stable strategies and game dynamics. Math. Biosci. 40. 145-156
- [19] J. Weibull, 1995. Evolutionary game theory. MIT Press
- [20] A. Wieczorek, 1996, Elementary large games and an application to economies with many agents. ICS-PAS works 805
- [21] A.Wieczorek, 1997, Simple large games and their applications to problems with many agents. ICS-PAS works 842
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ1-0015-0012