Template-type: ReDif-Paper 1.0 Author-Name: Azomahou T.T. Author-Name: Opolot D. Author-workplace-name: UNU-MERIT Title: Epsilon-stability and the speed of learning in network games Abstract: This paper introduces epsilon-stability as a generalization of the concept of stochastic stability in learning and evolutionary game dynamics. An outcome of a model of stochastic evolutionary dynamics is said to be epsilon-stable in the long-run if for a given model of mistakes it maximizes its invariant distribution. We construct an efficient algorithm for computing epsilon-stable outcomes and provide conditions under which epsilon-stability can be approximated by stochastic stability. We also define and provide tighter bounds for contagion rate and metastability as measures for characterizing the short-run and medium-run behaviour of a typical stochastic evolutionary model. Keywords Stochastic evolution, network games, epsilon-stable sets, expected waiting time, metastability, contagion rate. Keywords: Stochastic and Dynamic Games; Evolutionary Games; Repeated Games; Information, Knowledge, and Uncertainty: General; Classification-JEL: C73; D80; . Series: Working Papers Creation-Date: 2014 Number: 036 File-URL: http://pub.maastrichtuniversity.nl/ade7126f-791d-451c-b92f-6a670ad75236 File-Format: application/pdf File-Size: 747196 Handle: RePEc:unm:unumer:2014036