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A Geometric Approach to Mechanism Design

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  • Jacob K. Goeree
  • Alexey Kushnir

Abstract

Applying basic techniques from convex analysis and majorization theory we develop a novel approach to mechanism design that is geometric in nature. This geometric approach provides a simple and unified treatment of the optimal mechanisms for general social choice problems with arbitrary linear objectives, including revenue and welfare maximization. We further present applications and extensions to nonlinear objectives.

Suggested Citation

  • Jacob K. Goeree & Alexey Kushnir, 2023. "A Geometric Approach to Mechanism Design," Journal of Political Economy Microeconomics, University of Chicago Press, vol. 1(2), pages 321-347.
    • Handle: RePEc:ucp:jpemic:doi:10.1086/721806
    DOI: 10.1086/721806
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    Cited by:

    1. Nicholas C Bedard & Jacob K Goeree & Ningyi Sun, 2023. "Multivariate Majorization in Principal-Agents Models," Papers 2308.13804, arXiv.org.
    2. Nicholas C. Bedard & Jacob K. Goeree, 2023. "Tropical Analysis: With an Application to Indivisible Goods," Papers 2308.04593, arXiv.org.

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