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Efficient investments in the implementation problem

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  • Tomoeda, Kentaro

Abstract

This paper identifies a condition for an efficient social choice rule to be fully implementable when we take into account investment efficiency. To do so, we extend the standard implementation problem to include endogenous ex ante and ex post investments. In our problem, the social planner aims to achieve efficiency in every equilibrium of a dynamic game in which agents strategically make investments before and after playing the mechanism. Our main theorem shows that a novel condition commitment-proofness is sufficient and necessary for an efficient social choice rule to be implementable in subgame-perfect equilibria. The availability of ex post investments is crucial in our model: there is no social choice rule that is efficient and implementable in subgame-perfect equilibria without ex post investments. We also show that our positive result continues to hold in the incomplete information setting.

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  • Tomoeda, Kentaro, 2019. "Efficient investments in the implementation problem," Journal of Economic Theory, Elsevier, vol. 182(C), pages 247-278.
    • Handle: RePEc:eee:jetheo:v:182:y:2019:i:c:p:247-278
    DOI: 10.1016/j.jet.2019.04.009
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    Cited by:

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    2. Philippe Choné & Laurent Linnemer & Thibaud Vergé, 2021. "Double Marginalization and Vertical Integration," CESifo Working Paper Series 8971, CESifo.
    3. Hirata, Daisuke & 平田, 大祐 & Kasuya, Yusuke & 糟谷, 祐介 & Okumura, Yasunori & 奥村, 保規, 2023. "Stability, Strategy-Proofness, and Respect for Improvements," Discussion Papers 2023-01, Graduate School of Economics, Hitotsubashi University.
    4. Matsushima, Hitoshi & Noda, Shunya, 2023. "Mechanism design with general ex-ante investments," Journal of Mathematical Economics, Elsevier, vol. 106(C).
    5. Mohammad Akbarpour & Scott Duke Kominers & Kevin Michael Li & Shengwu Li & Paul Milgrom, 2023. "Algorithmic Mechanism Design With Investment," Econometrica, Econometric Society, vol. 91(6), pages 1969-2003, November.

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    More about this item

    Keywords

    Investment efficiency; Full implementation; Mechanism design; Ex ante investment; Ex post investment;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory

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