Template-type: ReDIF-Paper 1.0 Author-Name: Azomahou, T. Author-Email: azomahou@merit.unu.edu Author-Workplace-Name: UNU-MERIT Author-Name: Opolot, D. Author-Email: opolot@merit.unu.edu 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. Classification-JEL: C73, D80, O33 Keywords: Learning, Innovation, Stochastic evolution, network games, epsilon-stable sets, expected waiting time, metastability, contagion rate Series: UNU-MERIT Working Papers Creation-Date: 20140431 Number: 036 File-URL: https://unu-merit.nl/publications/wppdf/2014/wp2014-036.pdf File-Format: application/pdf File-Size: 747 Kb Handle: RePEc:unm:unumer:2014036 e: R