Multiscale Exit-Join Dynamics: Tactical Consensus and Strategic Coalition Formation

• URL: http://arxiv.org/abs/2606.26139v1
• Date: Fri, 19 Jun 2026 03:11:48 GMT
• Title: Multiscale Exit-Join Dynamics: Tactical Consensus and Strategic Coalition Formation
• Abstract summary: This paper develops a multiscale model of coalition formation in which strategic exit-and-join decisions are coupled with tactical consensus dynamics inside coalitions.<n>Coalition value is generated endogenously from within-coalition information aggregation.<n>Results provide a unified perspective on coalition formation, consensus dynamics, information aggregation, and strategic stability in multi-agent systems.
• Score: 20.036142577511455
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• Abstract: This paper develops a multiscale model of coalition formation in which strategic exit-and-join decisions are coupled with tactical consensus dynamics inside coalitions. Coalition value is generated endogenously from within-coalition information aggregation, while Aumann-Dreze payoffs, switching frictions, and acceptance rules govern strategic reconfiguration. The framework introduces a fast-slow architecture in which transferable coalition value emerges from DeGroot-style consensus processes, while coalition structures evolve through incentive-driven exit-and-join dynamics. The analysis characterizes joint tactical-strategic equilibria, conditions for tactical and strategic unanimity, segregation, polarization, and cognitive barriers that sustain stable coalition structures. A fixed-point characterization and existence results are established for the coupled dynamics. Numerical experiments reveal an instability-consensus paradox: low or negative switching barriers may prevent strategic convergence while simultaneously promoting temporal mixing sufficient to achieve global tactical consensus. The results provide a unified perspective on coalition formation, consensus dynamics, information aggregation, and strategic stability in multi-agent systems.

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