Template-type: ReDif-Paper 1.0 Author-Name: Herings P. Jean-Jacques Author-Name: Predtetchinski Arkadi Author-workplace-name: METEOR Title: A Necessary and Sufficient Condition for Non--emptiness of the Core of a Non--transferable Utility Game Abstract: It is well--known that a transferable utility game has a non-empty core if and only if it is balanced. In the class of non-transferable utility games balancedness or the more general pi-balancedness due to Billera (1970) is a sufficient, but not a necessary condition for the core to be non--empty. This paper gives a natural extension of the pi -balancedness condition that is both necessary and sufficient non--emptiness of the core. Keywords: microeconomics ; Series: Research Memoranda Creation-Date: 2002 Number: 016 File-URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:375cd284-280b-40a3-8f5f-9b9d7a4b4e41/datastreams/ASSET1/content File-Format: application/pdf File-Size: 218546 Handle: RePEc:unm:umamet:2002016