Template-type: ReDif-Paper 1.0 Author-Name: Flesch János Author-Name: Kuipers Jeroen Author-Name: Mashiah-Yaakovi Ayala Author-Name: Schoenmakers Gijs Author-Name: Solan Eilon Author-Name: Vrieze Koos Author-workplace-name: METEOR Title: Borel Games with Lower-Semi-Continuous Payoffs Abstract: We prove that every multi-player Borel game with bounded and lower-semi-continuous payoffs admits a subgame-perfect epsilon-equilibrium in pure strategies. This result complements Example 3 in Solan and Vieille (2003), which shows that a subgame-perfect epsilon-equilibrium in pure strategies need not exist when the payoffs are not lower-semi-continuous. In addition, if the range of payoffs is finite, we characterize in the form of a Folk Theorem the set of all plays and payoffs that are induced by subgame-perfect 0-equilibria in pure strategies. Keywords: mathematical economics; Series: Research Memoranda Creation-Date: 2010 Number: 040 File-URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:ed8288be-496a-435a-be3c-97c6259dfb2a/datastreams/ASSET1/content File-Format: application/pdf File-Size: 448208 Handle: RePEc:unm:umamet:2010040