Normalized N-player α_N-potential functions converge in value and minimizers to an MFC problem whose objective is a potential for the limiting MFG precisely when lim α_N=0.
Bsde approach forα-potential stochastic differential games.arXiv preprint arXiv:2507.13256
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The α-potential game framework reduces α-Nash equilibria in distributed jump diffusion games to finite-dimensional control problems, with explicit polynomial and logarithmic α decay rates for asymmetric networks and Nash equilibrium construction for heterogeneous mean-variance portfolio games.
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Limit Theory for $N$-Player $\alpha$-Potential Games
Normalized N-player α_N-potential functions converge in value and minimizers to an MFC problem whose objective is a potential for the limiting MFG precisely when lim α_N=0.
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Distributed games with jumps: An $\alpha$-potential game approach
The α-potential game framework reduces α-Nash equilibria in distributed jump diffusion games to finite-dimensional control problems, with explicit polynomial and logarithmic α decay rates for asymmetric networks and Nash equilibrium construction for heterogeneous mean-variance portfolio games.