A Geometric Approach to Mechanism Design

Jacob K. Goeree and Alexey Kushnir

Journal of Political Economy Microeconomics, 2023, vol. 1, issue 2, 321 - 347

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.

Date: 2023
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