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arXiv · 2603.07890

Visualizing Coalition Formation: From Hedonic Games to Image Segmentation

Pedro Henrique de Paula França·Lucas Lopes Felipe·Daniel Sadoc Menasché
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Abstract

We propose image segmentation as a visual diagnostic testbed for coalition formation in hedonic games. Modeling pixels as agents on a graph, we study how a granularization parameter shapes equilibrium fragmentation and boundary structure. On the Weizmann single-object benchmark, we relate multi-coalition equilibria to binary protocols by measuring whether the converged coalitions overlap with a foreground ground-truth. We observe transitions from cohesive to fragmented yet recoverable equilibria, and finally to intrinsic failure under excessive fragmentation. Our core contribution links multi-agent systems with image segmentation by quantifying the impact of mechanism design parameters on equilibrium structures.

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Pedro Henrique de Paula França, Lucas Lopes Felipe, Daniel Sadoc Menasché. 2026-03-09. Visualizing Coalition Formation: From Hedonic Games to Image Segmentation. https://arxiv.org/abs/2603.07890

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