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Using Simulated Annealing to Compute the Trembles of Trembling Hand Perfection

McDonald, Stuart (2002-08-01) Using Simulated Annealing to Compute the Trembles of Trembling Hand Perfection. Discussion Paper No. 316, School of Economics, The University of Queensland.

Document type: Department Technical Report
Collection: School of Information Technology and Electrical Engineering Publications  
 
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Author(s) McDonald, Stuart
Title Using Simulated Annealing to Compute the Trembles of Trembling Hand Perfection
School, Department or Centre School of Economics
Institution The University of Queensland
Report Number Discussion Paper No. 316
Publication date 2002-08-01
Subject 230118 Optimisation
Abstract/Summary Simulated annealing is one of a family of Monte Carlo simulation methods that relies on a Markov chain to assure its convergence. This paper exploits an analogy between the function of the "trembles" that underlie the function of simulated annealing and the player "trembles" that underlie the Nash refinement known as "trembling hand" perfection. This paper shows that this relationship can be used to provide a method for comupting perfect and proper equilibria of fine n-player games.
Keyword(s) perfect equilibrium
proper equilibrium
computation of Nash refinements
Markov chain Monte Carlo
MCMC
simulated annealing
 
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