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Guiding Agents of Quantum Games to Equilibrium using Matrix Exponential Fixed-Point Iteration

arXiv · AI, language, vision and robotics · article · Sep 18, 2026 · UTC

In recent years, quantum game theory has gained significant attention as a framework for studying decision-making in multi-agent systems using quantum principles. However, computing equilibrium strategies is challenging because the dimension of the joint Hilbert space grows as the product of the players' local dimensions. In this paper, we consider an extended Gutoski-Watrous (EGW) game in which each player's quantum strategy is represented by a local density matrix. We derive tensor-contraction expressions for the payoff functions and their gradients, thereby avoiding the explicit constructio

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First collected: 2026-09-23T13:51:27.104Z. This is not the publication date.