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Problem 15.1 (a) Exhibit a network cost-sharing game in which the minimizer of the potential function (15.3) is not the lowest- cost PNE. (b) Exhibit

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Problem 15.1 (a) Exhibit a network cost-sharing game in which the minimizer of the potential function (15.3) is not the lowest- cost PNE. (b) Exhibit a network cost-sharing game with at least one strong Nash equilibrium in which the minimizer of the potential func- tion is not a strong Nash equilibrium

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