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We develop a model based on mean-field games of competitive firms producing similar goods according to a standard AK model with a depreciation rate of capital generating pollution as a byproduct.
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Graber, P. J.: Linear quadratic mean field type control and mean field games with common noise, with application to production of an exhaustible resource. Appl. Math. Optim. 74, 459-486 (2016)
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Pham, H.: Linear quadratic optimal control of conditional McKean-Vlasov equation with random coefficients and applications. PUQR. 1, 1–26 (2016)
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Alasseur, C., Ben Taher, I., Matoussi, A.: An extended mean field game for storage in smart grids. JOTA. 184, 644–670 (2020)
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