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arXiv · 1911.12776

Distributed payoff allocation in coalitional games via time varying paracontractions

Aitazaz Ali Raja·Sergio Grammatico
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Abstract

We present a partial operator-theoretic characterization of approachability principle and based on this characterization, we interpret a particular distributed payoff allocation algorithm to be a sequence of time-varying paracontractions. Further, we also propose a distributed algorithm, under the context of coalitional game, on time-varying communication networks. The state in the proposed algorithm converges to a consensus within, the predefined, desired set. For convergence analysis, we rely on the operator-theoretic property of paracontraction.

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Aitazaz Ali Raja, Sergio Grammatico. 2019-11-28. Distributed payoff allocation in coalitional games via time varying paracontractions. https://arxiv.org/abs/1911.12776

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