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Existence in multidimensional screening with general nonlinear preferences

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  • Kelvin Shuangjian Zhang

    (University of Toronto)

Abstract

We generalize the approach of Carlier (J Math Econ 35, 129–150, 2001) and provide an existence proof for the multidimensional screening problem with general nonlinear preferences. We first formulate the principal’s problem as a maximization problem with G-convexity constraints and then use G-convex analysis to prove existence.

Suggested Citation

  • Kelvin Shuangjian Zhang, 2019. "Existence in multidimensional screening with general nonlinear preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 67(2), pages 463-485, March.
    • Handle: RePEc:spr:joecth:v:67:y:2019:i:2:d:10.1007_s00199-018-1170-4
    DOI: 10.1007/s00199-018-1170-4
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    References listed on IDEAS

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    Cited by:

    1. Guillaume Carlier & Kelvin Shuangjian Zhang, 2019. "Existence of solutions to principal-agent problems with adverse selection under minimal assumptions," Papers 1902.06552, arXiv.org, revised Mar 2020.
    2. Carlier, Guillaume & Zhang, Kelvin Shuangjian, 2020. "Existence of solutions to principal–agent problems with adverse selection under minimal assumptions," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 64-71.
    3. Aloisio Araujo & Sergei Vieira & Braulio Calagua, 2022. "A necessary optimality condition in two-dimensional screening," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 73(2), pages 781-806, April.

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    More about this item

    Keywords

    Principal–agent problem; Adverse selection; Bilevel optimization; Incentive compatibility; Non-quasilinearity;
    All these keywords.

    JEL classification:

    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • H21 - Public Economics - - Taxation, Subsidies, and Revenue - - - Efficiency; Optimal Taxation
    • J42 - Labor and Demographic Economics - - Particular Labor Markets - - - Monopsony; Segmented Labor Markets

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