Unified Dual Semidefinite Programming Framework for Incentive-Compatible Mechanism Design

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Main Author: Zhang, Jincheng
Format: Recurso digital
Published: Zenodo 2026
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author Zhang, Jincheng
author_facet Zhang, Jincheng
contents <p><span>This paper proposes a novel unified optimization framework that integrates Dual Semidefinite Programming (DSP) and Incentive Compatibility (IC) constraints from mechanism design into a unified semidefinite programming structure. Traditional methods treat global optimality and matrix constraints with DSP, while mechanism design addresses individual policy stability, resulting in a long-standing disconnect between the two. This paper introduces "utility difference matrixization" and "dual constraint embedding" to construct a unified "Incentive Compatible Dual Semidefinite Programming (UD-ICSDP)," enabling social optimality and policy stability to simultaneously hold within the same convex optimization space.</span></p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_19567763
institution Zenodo
language
publishDate 2026
publisher Zenodo
record_format zenodo
spellingShingle Unified Dual Semidefinite Programming Framework for Incentive-Compatible Mechanism Design
Zhang, Jincheng
<p><span>This paper proposes a novel unified optimization framework that integrates Dual Semidefinite Programming (DSP) and Incentive Compatibility (IC) constraints from mechanism design into a unified semidefinite programming structure. Traditional methods treat global optimality and matrix constraints with DSP, while mechanism design addresses individual policy stability, resulting in a long-standing disconnect between the two. This paper introduces "utility difference matrixization" and "dual constraint embedding" to construct a unified "Incentive Compatible Dual Semidefinite Programming (UD-ICSDP)," enabling social optimality and policy stability to simultaneously hold within the same convex optimization space.</span></p>
title Unified Dual Semidefinite Programming Framework for Incentive-Compatible Mechanism Design
url https://doi.org/10.5281/zenodo.19567763