MathDB3 problems
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Asymptotic straight-line boundaries for BPR congestion costs
BPR boundary conjecture. The boundaries between the regions $$ are asymptotic to straight lines through the origin.
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The affine-demand convergence conjecture for Nash equilibria
Consider the pay-as-bid supply-function game with the strategy space restricted to -Lipschitz supply functions, and suppose that the demand is affine. The affine-demand converge…
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The infinite-slope conjecture for pay-as-bid auction equilibria
Let be the Lipschitz constant defining the strategy space of supply functions, and let the equilibrium outcome be the resulting Nash equilibrium outcome of the pay-as-bid aucti…