“Optimistic” weighted Shapley rules in minimum cost spanning tree problems |
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Authors: | Gustavo Bergantiños Silvia Lorenzo-Freire |
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Institution: | 1. Research Group in Economic Analysis, Faculty of Economics, University of Vigo, 36310 Vigo, Pontevedra, Spain;2. Department of Statistics and Operations Research, University of Vigo, Spain |
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Abstract: | We introduce optimistic weighted Shapley rules in minimum cost spanning tree problems. We define them as the weighted Shapley values of the optimistic game v+ introduced in Bergantiños and Vidal-Puga Bergantiños, G., Vidal-Puga, J.J., forthcoming. The optimistic TU game in minimum cost spanning tree problems. International Journal of Game Theory. Available from: <http://webs.uvigo.es/gbergant/papers/cstShapley.pdf>]. We prove that they are obligation rules Tijs, S., Branzei, R., Moretti, S., Norde, H., 2006. Obligation rules for minimum cost spanning tree situations and their monotonicity properties. European Journal of Operational Research 175, 121–134]. |
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Keywords: | Minimum cost spanning tree problems Weighted Shapley values |
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