Template-type: ReDif-Paper 1.0 Author-Name: Herings P. Jean-Jacques Author-Name: Predtetchinski Arkadi Author-workplace-name: METEOR Title: Bargaining with Non-convexities Abstract: We show that in the canonical non-cooperative multilateral bargaining game, a subgameperfect equilibrium exists in pure stationary strategies, even when the space of feasible payoffs is not convex. At such an equilibrium there is no delay. We also have the converse result that randomization will not be used in this environment in the sense that all stationary subgame perfect equilibria do not involve randomization on the equilibrium path. Nevertheless, mixed strategy profiles can lead to Pareto superior payoffs in non-convex cases. Keywords: operations research and management science; Series: Research Memoranda Creation-Date: 2009 Number: 042 File-URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:d42bfc76-c128-44c7-aedb-d1b2c7585eb3/datastreams/ASSET1/content File-Format: application/pdf File-Size: 390708 Handle: RePEc:unm:umamet:2009042