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Contributions to Game Theory and Management, 2013, Volume 6, Pages 351–361
(Mi cgtm131)
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Forest Situations and Cost Monotonic Solutions
O. Palancıa, S. Z. Alparslan Göka, G.-W. Weberb a Department of Mathematics, Faculty of Arts and Sciences, Süleyman Demirel University, 32260 Isparta, Turkey
b Institute of Applied Mathematics, Middle East Technical University,
06531 Ankara, Turkey
Abstract:
In this paper, we generalize the well-known mountain situations by introducing multiple sources called the forest situations. We deal with the cost sharing problem by introducing the cooperative cost game. We show that the Bird allocation is a special core element of the related cost game corresponding to the forest situation. Further, we give solutions for the cost game corresponding to the forest situation. Finally, we show that these solutions satisfy the cost monotonicity property.
Keywords:
forest situations, bird allocation, shapley value, cost monotonicity.
Citation:
O. Palancı, S. Z. Alparslan Gök, G.-W. Weber, “Forest Situations and Cost Monotonic Solutions”, Contributions to Game Theory and Management, 6 (2013), 351–361
Linking options:
https://www.mathnet.ru/eng/cgtm131 https://www.mathnet.ru/eng/cgtm/v6/p351
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Statistics & downloads: |
Abstract page: | 223 | Full-text PDF : | 89 | References: | 32 |
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