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A note on the incompatibility of strategy-proofness and Pareto-optimality in quasi-linear settings with public budgets

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  • Lavi, Ron
  • May, Marina

Abstract

We show that any deterministic mechanism, for allocating identical items that are complements to budget-constrained bidders, cannot simultaneously satisfy individual-rationality, strategy-proofness, Pareto-efficiency, and no-positive-transfers. This holds even for two bidders, two items, and commonly-known budgets, and generalizes to richer settings.

Suggested Citation

  • Lavi, Ron & May, Marina, 2012. "A note on the incompatibility of strategy-proofness and Pareto-optimality in quasi-linear settings with public budgets," Economics Letters, Elsevier, vol. 115(1), pages 100-103.
    • Handle: RePEc:eee:ecolet:v:115:y:2012:i:1:p:100-103
    DOI: 10.1016/j.econlet.2011.11.043
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    References listed on IDEAS

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    1. Maskin, Eric S., 2000. "Auctions, development, and privatization: Efficient auctions with liquidity-constrained buyers," European Economic Review, Elsevier, vol. 44(4-6), pages 667-681, May.
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    Citations

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    Cited by:

    1. Le, Phuong, 2018. "Pareto optimal budgeted combinatorial auctions," Theoretical Economics, Econometric Society, vol. 13(2), May.
    2. Zhou, Yu, 2017. "A multi-item auction with budget-constrained bidders and price controls," Economics Letters, Elsevier, vol. 155(C), pages 76-79.
    3. Tomoya Kazumura & Debasis Mishra & Shigehiro Serizawa, 2017. "Strategy-proof multi-object auction design: Ex-post revenue maximization with no wastage," ISER Discussion Paper 1001, Institute of Social and Economic Research, Osaka University.
    4. Yuya Wakabayashi & Ryosuke Sakai & Hiroki Shinozaki, 2024. "Strategy-proof allocation problem with hard budget constraints and income effects: weak efficiency and fairness," OSIPP Discussion Paper 24E003, Osaka School of International Public Policy, Osaka University.
    5. SHINOZAKI, Hiroki, 2024. "Shill-proof rules in object allocation problems with money," Discussion paper series HIAS-E-137, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    6. Rica Gonen & Anat Lerner, 2013. "The Incompatibility of Pareto Optimality and Dominant-Strategy Incentive Compatibility in Sufficiently-Anonymous Budget-Constrained Quasilinear Settings," Games, MDPI, vol. 4(4), pages 1-21, November.
    7. Jianxin Yi, 2024. "A note on the impossibility of multi-unit auctions with budget-constrained bidders," Review of Economic Design, Springer;Society for Economic Design, vol. 28(2), pages 331-345, June.
    8. Anat Lerner & Rica Gonen, 2014. "Characterizing the Incentive Compatible and Pareto Optimal Efficiency Space for Two Players, k Items, Public Budget and Quasilinear Utilities," Games, MDPI, vol. 5(2), pages 1-19, April.
    9. SHINOZAKI, Hiroki, 2023. "Non-obvious manipulability and efficiency in package assignment problems with money for agents with income effects and hard budget constraints," Discussion paper series HIAS-E-136, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    10. Tomoya KAZUMURA, 2020. "When can we design efficient and strategy-proof rules in package assignment problems?," Discussion papers e-21-008, Graduate School of Economics , Kyoto University.
    11. Kazumura, Tomoya & Mishra, Debasis & Serizawa, Shigehiro, 2020. "Mechanism design without quasilinearity," Theoretical Economics, Econometric Society, vol. 15(2), May.
    12. Andrew MACKENZIE & Yu ZHOU, 2022. "Tract Housing, The Core, And Pendulum Auctions," Discussion papers e-22-005, Graduate School of Economics , Kyoto University.
    13. Komal Malik & Debasis Mishra, 2018. "Pareto efficient combinatorial auctions: dichotomous preferences without quasilinearity," Discussion Papers 18-06, Indian Statistical Institute, Delhi.
    14. Baisa, Brian, 2020. "Efficient multi-unit auctions for normal goods," Theoretical Economics, Econometric Society, vol. 15(1), January.
    15. Tomoya Kazumura & Debasis Mishra & Shigehiro Serizawa, 2017. "Strategy-proof multi-object auction design: Ex-post revenue maximization with no wastage," Discussion Papers 17-03, Indian Statistical Institute, Delhi.
    16. Tomoya Kazumura & Debasis Mishra & Shigehiro Serizawa, 2017. "Strategy-proof multi-object allocation: Ex-post revenue maximization with no wastage," Working Papers e116, Tokyo Center for Economic Research.
    17. Yi, Jianxin & Li, Yong, 2016. "A general impossibility theorem and its application to individual rights," Mathematical Social Sciences, Elsevier, vol. 81(C), pages 79-86.
    18. Malik, Komal & Mishra, Debasis, 2021. "Pareto efficient combinatorial auctions: Dichotomous preferences without quasilinearity," Journal of Economic Theory, Elsevier, vol. 191(C).
    19. Phuong Le, 2017. "Mechanisms for combinatorial auctions with budget constraints," Review of Economic Design, Springer;Society for Economic Design, vol. 21(1), pages 1-31, March.
    20. Yi, Jianxin & Wang, Hefei & Li, Yong, 2018. "Designing efficient and incentive compatible mechanisms is almost impossible in quasi-linear environments," Economics Letters, Elsevier, vol. 173(C), pages 113-117.

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    More about this item

    Keywords

    Budget constraints; Strategy-proofness; Pareto-optimality;
    All these keywords.

    JEL classification:

    • C70 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - General
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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