Graph-restricted games and their inheritance of properties

Bas Dietzenbacher () and Dries Vermeulen ()
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Bas Dietzenbacher: Maastricht University, Department of Quantitative Economics
Dries Vermeulen: Maastricht University, Department of Quantitative Economics

International Journal of Game Theory, 2026, vol. 55, issue 1, No 1, 16 pages

Abstract: Abstract For communication situations where the communication possibilities of players are modeled by an undirected graph, we study to what extent Myerson’s graph-restricted game inherits properties from the original transferable utility game. We focus on monotonicity, additivity, superadditivity, convexity, imputation admissibility, balancedness, total balancedness, population monotonic allocation schemes, and exactness. For each of these properties, we characterize all communication graphs that guarantee the inheritance. We present existing results from the literature and we provide new results regarding monotonicity, additivity, imputation admissibility, and exactness.

Keywords: Communication situation; Graph-restricted game; Inheritance (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
Date: 2026
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DOI: 10.1007/s00182-025-00972-0

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