<p>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.</p>

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Inheritance of weighted average-convexity in communication situations

  • Alexandre Skoda,
  • Xavier Venel

摘要

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.