Conference Paper
Year 2021,
Volume: 14 , 24 - 30, 31.12.2021
Abstract
The term game in game theory means a problem, where some of the people or groups (players) share a set of rules and regulations that create the conditions and events that make up the beginning of the game. For instance, in the trade market, the buyers and sellers of some commodities interact in a random way. The reputation of sellers effects on increasing of selling. e.g., honest sellers are more attractive than cheaters for the buyers and the buyers can examine the products or unexamined. In this paper, a non-linear discrete dynamical system of Friedman model was considered. Also, we proposed a new model of interaction between these two populations (buyers and sellers). investigate its limit run behavior where we found the limit converges to a fixed point (0,0) i.e., the sellers will always cheat and the sellers will not examine according to Friedman’s model which is denoted by the fixed point (0.0).
References
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- Zeeman, E. C. (1980). Population dynamics from game theory. In Global theory of dynamical systems (pp. 471-497). Springer.
Year 2021,
Volume: 14 , 24 - 30, 31.12.2021
Abstract
References
- Bernstein. S. (1924), The solution of a mathematical problem related to the theory of heredity. Uchn. Zapiski. NI Kaf. Ukr. Otd. Mat. (1), 83–115.
- Castanos. O, Jamilov. U, & Razikov. U. (2018). On Volterra quadratic stochastic operators of a two-sex population on. S1×S1 Uzbek. Mat. Zh (3), 37-50.
- Friedman, D. (1991). Evolutionary games in economics. Econometrica: Journal of the Econometric Society, 59(3) 637-666. Friedman, D., (1998), On economic applications of evolutionary game theory. J.Evol. Econ. 8. 15-43.
- Haozhen. S., (2020) Evolutionary stable strategies in games with fuzzy Payoffs. Artificial Intelligence Evolution, 1(2): 63-71.
- Hofbauer, J. & Sigmund. K., (1988). The theory of evolution and dynamical systems. Cambridge Univ. Press.
- Jamilov, U. U., & Ladra, M. (2020). On (s, t)-Volterra quadratic stochastic operators of a bisexual population. Journal of Applied Nonlinear Dynamics, 9(4), 575-588.
- Kenneth. S, (1951). The Malthusian controversy economics issues in the 19th century. Taylor Francis Group.
- Leibo. Z, Perolat. J, & Hughes E, (May 2019), Evolving intrinsic motivations for altruistic behavior. 18th International Conference on Autonomous Agents and MultiAgent Systems (AAMAS 2019), 13-17, Montreal, Canada.
- Nachbar, J. H. (1990). “Evolutionary” selection dynamics in games: Convergence and limit properties. International Journal of Game Theory, 19(1), 59-89.
- Saburov, M., & Saburov, K. (2018). Mathematical models of nonlinear uniform consensus II. Journal of Applied Nonlinear Dynamics, 7(1), 95-104.
- Sandholm, W. H. (2020). Evolutionary game theory. Complex Social and Behavioral Systems: Game Theory and Agent-Based Models, 573-608.
- Zeeman, E. C. (1980). Population dynamics from game theory. In Global theory of dynamical systems (pp. 471-497). Springer.
There are 12 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Engineering |
| Journal Section | Articles |
| Authors | |
| Publication Date | December 31, 2021 |
| Published in Issue | Year 2021Volume: 14 |
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