Title :
Limiting Behavior of Dynamic Supergames on Rectangle Lattice
Author :
Ye, Zhongxing ; Liu, Yucan
Author_Institution :
Dept. of Math., Jiao Tong Univ., Shanghai, China
Abstract :
A class of dynamic super games played by infinitely many players on planar rectangle lattice is studied. Under the conditions of the pre-specified updating rules and the transition probabilities i.e., these relevant stochastic process of strategy configuration given, the formula of invariant measures which represent the long-run equilibrium plays with symmetric payoffs are obtained. The phase transition phenomena is discovered. The relationship between those invariant measures and the solution concepts evolved from the game theory literature is pursued.
Keywords :
game theory; probability; stochastic processes; dynamic supergame; game theory; phase transition phenomena; prespecified updating rule; rectangle lattice; stochastic process; transition probabilities; Automation; Game theory; Lattices; Mathematics; Nearest neighbor searches; Phase measurement; Stochastic processes; Symmetric matrices; Technology management; Transmission line matrix methods; equilibrium; invariant measure; phase transition; supergame;
Conference_Titel :
Intelligent Computation Technology and Automation (ICICTA), 2010 International Conference on
Print_ISBN :
978-1-4244-7279-6
Electronic_ISBN :
978-1-4244-7280-2
DOI :
10.1109/ICICTA.2010.851
