Inheritance of weighted average-convexity in communication situations

Alexandre Skoda () and Xavier Venel ()
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Alexandre Skoda: Université de Paris I, Centre d’Economie de la Sorbonne
Xavier Venel: Luiss University

International Journal of Game Theory, 2025, vol. 54, issue 1, No 20, 33 pages

Abstract: Abstract We study the relation between weighted average-convexity and communication situations. We exhibit necessary conditions for a communication situation to preserve the weighted average-convexity from the initial game to the graph-restriced game and we provide a complete characterization.

Keywords: TU-games; Convexity; Average-convexity; Weighted Shapley value; Communication; 91A12; 91A43; 90C27; 05C75 (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1007/s00182-025-00947-1

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