The Dynamics of Triopoly Game with Heterogeneous Players
نویسندگان
چکیده
In this paper, the dynamics of discrete triopoly game with heterogeneous players has been studied. In this game, three players with different expectations were used to iterate the dynamic game. The three players were considered to be: boundedly rational, adaptive and naive. The investigation of the fixed points and their stability, bifurcation diagrams, strange attractors and chaotic behavior were analyzed. Also Lyapunov exponents and fractal dimension of chaotic attractor of our map, which is equivalent to dimension of He/non like map was calculated. It has been deduced that, the heterogeneous belief of players can lead to instability, rich dynamics and complexity.
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