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On some approximately balanced combinatorial cooperative games
Authors:Ulrich Faigle  Walter Kern
Institution:(1) Department of Applied Mathematics, University of Twente, 7500 AE Enschede, The Netherlands
Abstract:A model of taxation for cooperativen-person games is introduced where proper coalitions Are taxed proportionally to their value. Games with non-empty core under taxation at rateepsiv-balanced. Sharp bounds onepsiv in matching games (not necessarily bipartite) graphs are estabLished. Upper and lower bounds on the smallestepsiv in bin packing games are derived and euclidean random TSP games are seen to be, with high probability,epsiv-balanced forepsivap0.06.
Keywords:cooperative game  balanced core  tax  matching  bin packing  traveling salesman
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