Geodesic
Forest Situations and Cost Monotonic Solutions
Contributions to game theory and management, Tome 6 (2013), pp. 351-361

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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. 
@article{CGTM_2013_6_a26,
     author = {O. Palanc{\i} and S. Z. Alparslan G\"ok and G.-W. Weber},
     title = {Forest {Situations} and {Cost} {Monotonic} {Solutions}},
     journal = {Contributions to game theory and management},
     pages = {351--361},
     publisher = {mathdoc},
     volume = {6},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2013_6_a26/}
}
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O. Palancı; S. Z. Alparslan Gök; G.-W. Weber. Forest Situations and Cost Monotonic Solutions. Contributions to game theory and management, Tome 6 (2013), pp. 351-361. http://geodesic.mathdoc.fr/item/CGTM_2013_6_a26/