What question did this study set out to answer?

This research aims to explore the value in cooperative games structured by a graph neighborhood, focusing on how payoffs are allocated among players and their neighbors.

August 13, 2026RAIRO - Operations ResearchOpen Access

The neighborhood value for cooperative graph games

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This research aims to explore the value in cooperative games structured by a graph neighborhood, focusing on how payoffs are allocated among players and their neighbors.
Modeling cooperative games using neighborhood structures represented by graphs.
Characterizing the value through five axioms: Efficiency, Additivity, Null neighborhood out, Equal loss in essential scenarios, and Two-player symmetry.
Analyzing payoffs based on coalitional structures and player interactions.
The proposed value equally shares the Harsanyi dividend among coalition members and their neighbors.
Axioms effectively characterize the cooperative game's value, ensuring fair distribution of payoffs.
Illustrated specific scenarios where player removal impacts payoff distribution, particularly emphasizing the equal loss axiom.

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Implication

Randomized trial examines payoff distribution in cooperative games using neighborhood-based graph models, indicating unique axiomatic characteristics.

Cite This Study

Béal et al. (2026) studied this question.

synapsesocial.com/papers/6a7d75ad2b0e0cff3f63e6ee https://doi.org/10.1051/ro/2026092

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Implication

Randomized trial examines payoff distribution in cooperative games using neighborhood-based graph models, indicating unique axiomatic characteristics.

The neighborhood value for cooperative graph games

Key Points

Discussion

Implication

Cite This Study

The neighborhood value for cooperative graph games

Key Points

Discussion

Implication

Cite This Study

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