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.
Existence and derivation of optimal affine incentive schemes for Stackelberg games with partial information: A geometric approach
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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.