What question did this study set out to answer?

This research aims to connect entropy minimization with Nash equilibrium in block-constrained systems.

April 28, 2026Open Access

Entropy Rigidity and Nash Stability in Block-Constrained Systems: A Convex-Duality Route to Emergent Strategic Equilibria

Key Points

This research aims to connect entropy minimization with Nash equilibrium in block-constrained systems.
Utilized a strategic defect functional to equate with maximal blockwise relative entropy
Derived quantitative ε-Nash guarantees
Established a link between thermodynamics and strategic decision-making
Demonstrated a precise connection between thermodynamic and strategic deviations
Confirmed quantitative guarantees for ε-Nash equilibria
Provided a new perspective on strategic equilibria emergence

Abstract

We establish an exact bridge between entropy minimization and Nash equilibrium in block-constrained systems via a strategic defect functional equal to maximal blockwise relative entropy. This yields quantitative ε-Nash guarantees and a precise link between thermodynamic and strategic deviations.

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Cite This Study

Hassan Nasreddine (Thu,) studied this question.

synapsesocial.com/papers/69f04eb8727298f751e72a6f https://doi.org/https://doi.org/10.5281/zenodo.19789906

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