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Recent advances in the many-body theory of electrons in solids and in the theory of the interacting electron gas are used to construct explicit local effective potentials which incorporate the effects of correlation and exchange. For ground state properties we consider the scheme by Hohenberg, Kohn and Sham and provide data for the effective potential μxc. For excitation energies the corresponding

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This paper presents a reinforcement learning algorithm and provides conditions for global convergence to Nash equilibria. For several reinforcement learning schemes, including the ones proposed here, excluding convergence to action profiles which are not Nash equilibria may not be trivial, unless the step-size sequence is appropriately tailored to the specifics of the game. In this paper, we sides