Template-Type: ReDIF-Paper 1.0 Author-Name: Waltman, L. Author-Name-Last: Waltman Author-Name-First: Ludo Author-Name: Kaymak, U. Author-Name-Last: Kaymak Author-Name-First: Uzay Author-Person: pka115 Title: A Theoretical Analysis of Cooperative Behavior in Multi-Agent Q-learning Abstract: A number of experimental studies have investigated whether cooperative behavior may emerge in multi-agent Q-learning. In some studies cooperative behavior did emerge, in others it did not. This report provides a theoretical analysis of this issue. The analysis focuses on multi-agent Q-learning in iterated prisoner’s dilemmas. It is shown that under certain assumptions cooperative behavior may emerge when multi-agent Q-learning is applied in an iterated prisoner’s dilemma. An important consequence of the analysis is that multi-agent Q-learning may result in non-Nash behavior. It is found experimentally that the theoretical results derived in this report are quite robust to violations of the underlying assumptions. Creation-Date: 2006-02-01 File-URL: https://repub.eur.nl/pub/7323/ERS%202006%20006%20LIS.pdf File-Format: application/pdf Series: RePEc:ems:eureri Number: ERS-2006-006-LIS Classification-JEL: C51, L15, M, O32 Keywords: Cooperation, Multi-Agent Q-Learning, Multi-Agent Reinforcement Learning, Nash Equilibrium, Prisoner’s Dilemma Handle: RePEc:ems:eureri:7323