Title :
Delayed duopoly game with adaptive and naive players
Author_Institution :
Dept. of Phys. News & Manage., Zhengzhou Univ., Zhengzhou, China
Abstract :
Based on the adaptive and naive assumption the model of duopoly game is formulated with time delay. The stability of fixed point is analyzed by rewriting the game model as a forth dimensional system and employing Jury´s criteria. Numerical simulations are also provided to investigate the dynamical behavior of the game model. The results show that the Nash equilibrium point is asymptotically stable for any weights and within large region of initial value space.
Keywords :
asymptotic stability; delays; game theory; Jury criteria; Nash equilibrium point; adaptive players; asymptotic stability; delayed duopoly game; forth dimensional system; naive players; time delay; Asymptotic stability; Games; Mathematical model; Nash equilibrium; Numerical stability; Stability criteria; adaptive strategy; delay; duopoly game; naive rule; stability;
Conference_Titel :
Emergency Management and Management Sciences (ICEMMS), 2011 2nd IEEE International Conference on
Conference_Location :
Beijing
Print_ISBN :
978-1-4244-9665-5
DOI :
10.1109/ICEMMS.2011.6015735
