On the approachability principle for distributed payoff allocation in coalitional games
Aitazaz Ali Raja (TU Delft - Mechanical Engineering)
Sergio Grammatico (TU Delft - Mechanical Engineering, TU Delft - Mechanical Engineering)
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Abstract
In the context of coalitional games, we present a partial operator-theoretic characterization of the approachability principle and, based on this characterization, we interpret a particular distributed payoff allocation algorithm to be a sequence of time-varying paracontractions. Then, we also propose a distributed payoff allocation algorithm on time-varying communication networks. The state in the proposed algorithm converges to a consensus in the”CORE” set as desired. For the convergence analysis, we rely on an operator-theoretic property of paracontraction.
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