A hypergradient-free social-gradient flow is proven to be a descent direction for the planner's objective and converges to the unique socially optimal incentive when social cost depends on agents' joint actions.
Harnessing Information in Incentive Design,
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Incentive Design without Hypergradients: A Social-Gradient Method
A hypergradient-free social-gradient flow is proven to be a descent direction for the planner's objective and converges to the unique socially optimal incentive when social cost depends on agents' joint actions.