منابع مشابه
Three Selfish Spanning Tree Games
We study a problem in a network. The input is an edgeweighted graph G = (V, E) such that V contains a specific source node r. Every v ∈ V \{r} is an entity which wants to be connected to r either directly or via other entities. The main question is how do the entities deviate from a socially optimal network if they are not monitored by a central authority. We provide theoretical bounds on the (...
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The minimum cost spanning tree game (mcst-game) is a well-known model within operations research games that has been widely studied in the literature. In this paper we introduce the multi-criteria version of the mcst-game as a setvalued TU-game. We prove that the extension of Bird s cost allocation rule provides dominance core elements in this game. We also give a family of core solutions that ...
متن کاملSubmodularity of minimum-cost spanning tree games
We give a necessary condition and a sufficient condition for a minimum-cost spanning tree game introduced by Bird to be submodular (or convex). When the cost is restricted to two values, we give a characterization of submodular minimum-cost spanning tree games. We also discuss algorithmic issues.
متن کاملCost monotonicity, consistency and minimum cost spanning tree games
We propose a new cost allocation rule for minimum cost spanning tree games. The new rule is a core selection and also satis...es cost monotonicity. We also give characterization theorems for the new rule as well as the much-studied Bird allocation. We show that the principal di¤erence between these two rules is in terms of their consistency properties. JEL Classi...cation Numbers: D7
متن کاملReduction of Ultrametric Minimum Cost Spanning Tree Games to Cost Allocation Games on Rooted Trees
A minimum cost spanning tree game is called ultrametric if the cost function on the edges of the underlying network is an ultrametric. We show that every ultrametric minimum cost spanning tree game is reduced to a cost allocation game on a rooted tree. It follows that there exist O(n) time algorithms for computing the Shapley value, the nucleolus and the egalitarian allocation of the ultrametri...
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ژورنال
عنوان ژورنال: Mathematical and Computer Modelling
سال: 1999
ISSN: 0895-7177
DOI: 10.1016/s0895-7177(98)00181-2