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arXiv · 1103.3310

Path coalitional games

Haris Aziz·Troels Bjerre Sørensen
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Abstract

We present a general framework to model strategic aspects and stable and fair resource allocations in networks via variants and generalizations of path coalitional games. In these games, a coalition of edges or vertices is successful if it can enable an s-t path. We present polynomial-time algorithms to compute and verify least core payoffs of cost-based generalizations of path coalitional games and their duals, thereby settling a number of open problems. The least core payoffs of path coalitional games are completely characterized and a polynomial-time algorithm for computing the nucleolus of edge path coalitional games on undirected series-parallel graphs is presented.

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Haris Aziz, Troels Bjerre Sørensen. 2011-04-27. Path coalitional games. https://arxiv.org/abs/1103.3310

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