K. Kent, D. Skorin-Kapov. Population monotonic cost allocation on mst's. Operational Research Proceedings KOI, 1996, pp 43--48.  Home/Search   Document Not in Database   Summary   Related Articles   Check

....in cooperative game theory when the cost of a shared resource is to be distributed among its users in such a way that revealing true utility is a dominant strategy of users. Much work has been done on obtaining strategyproof cost sharing mechanisms for instance for the spanning tree game [1, 5, 6, 11, 12]. Once again, the underlying optimization problems Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the ....

K. Kent and D. Skorin-Kapov. Population monotonic cost allocation on mst's. In Operational Reearch Proceedings KOI, pages 43--48, 1996.

....function of the set J (see also [22] The op2 timum solution to facility location, Rent or Buy network design, or their LP relaxations is in general not submodular. The only known cross monotonic cost sharing for a non submodular cost function is the cost sharing of Kent and Skorin Kapov [24] and Jain and Vazirani [21] for the spanning tree game. The spanning tree heuristic gives a 2 approximation for the Steiner tree problem, hence the spanning tree cost sharing method is also a 2 approximate budget balanced cross monotonic cost sharing for the Steiner tree game, which is a special ....

....to gather (or cluster) users into larger groups, and then build a Steiner tree on the set of gathering points. It would be natural to suggests to combine the cross monotonic cost sharing for the facility location problem of Section 2 with the spanning tree cost sharing of Kent and Skorin Kapov [24] and Jain and Vazirani [21] However, combining cost sharing for such a two phase process does not lead to cross monotonic cost shares: decisions made in the gathering stage affect the way players contribute towards building the tree in an unpredictable way, making it impossible to guarantee ....

K. Kent, D. Skorin-Kapov. Population monotonic cost allocation on mst's. Operational Research Proceedings KOI, 1996, pp 43--48.

....Steiner tree. We get around these difficulties by turning to approximation algorithms. A well known factor 2 approximation algorithm for Steiner tree is to find a minimum spanning tree on the required vertices [19] The minimum spanning tree game has been studied extensively in the literature [2, 11, 12, 17, 18, 16]. Kent and Skorin Kapov [17] show how to construct a whole class of weak cross monotonic methods as well as one cross monotone method for this game. For the latter result, they use matroid properties of spanning trees. Using the primal dual minimum spanning tree algorithm of Edmonds [6] we show ....

....by turning to approximation algorithms. A well known factor 2 approximation algorithm for Steiner tree is to find a minimum spanning tree on the required vertices [19] The minimum spanning tree game has been studied extensively in the literature [2, 11, 12, 17, 18, 16] Kent and Skorin Kapov [17] show how to construct a whole class of weak cross monotonic methods as well as one cross monotone method for this game. For the latter result, they use matroid properties of spanning trees. Using the primal dual minimum spanning tree algorithm of Edmonds [6] we show how to construct a class of ....

K. Kent and D. Skorin-Kapov. Population monotonic cost allocation on mst's. In Operational Reearch Proceedings KOI, pages 43--48, 1996.

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K. Kent, D. Skorin-Kapov. Population monotonic cost allocation on mst's. Operational Research Proceedings KOI, 1996, pp 43--48.

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K. Kent and D. Skorin-Kapov. Population monotonic cost allocation on MST's. In Operational Reearch Proceedings KOI, pages 43--48, 1996. 10

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K. Kent and D. Skorin-Kapov. Population monotonic cost allocation on mst's. In Operational Reearch Proceedings KOI, pages 43--48, 1996.

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K. Kent and D. Skorin-Kapov. Population monotonic cost allocation on MST's. In Operational Research Proceedings KOI, volume 43-48, 1996. 17

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