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A Sheaf Framework for Strategic Multi-Agent Systems: From Consensus to Nash Equilibria

arXiv:2606.01663v1 Announce Type: new Abstract: The coordination of heterogeneous autonomous agents in dynamic, adversarial environments requires simultaneous satisfaction of geometric constraints, logical consistency, temporal reasoning, and strategic optimization. Existing sheaf- and topos-theoretic frameworks provide powerful tools for geometric consensus, knowledge alignment, and causal planning, but lack explicit models for value, reward, and strategic choice. This report presents a...

arXiv CS 8d ago