Presents an algorithm-to-contract framework that lifts FPTASes to approximately incentive-compatible contracts for budgeted combinatorial problems without demand oracles, applying to matroids, matchings, and multi-agent non-additive rewards.
Reducibility among combinatorial problems
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The paper finds the threshold probability for random subgraphs of Dirac graphs to admit Hamilton cycle transversals and derives optimal counting and packing corollaries that generalize single-graph Hamilton cycle results.
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An Algorithm-to-Contract Framework without Demand Queries
Presents an algorithm-to-contract framework that lifts FPTASes to approximately incentive-compatible contracts for budgeted combinatorial problems without demand oracles, applying to matroids, matchings, and multi-agent non-additive rewards.
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Robust Hamiltonicity in families of Dirac graphs
The paper finds the threshold probability for random subgraphs of Dirac graphs to admit Hamilton cycle transversals and derives optimal counting and packing corollaries that generalize single-graph Hamilton cycle results.