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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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    as
    1. Obara Ichiro, 2008. "The Full Surplus Extraction Theorem with Hidden Actions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-28, March.
    2. Hart, Oliver D & Moore, John, 1988. "Incomplete Contracts and Renegotiation," Econometrica, Econometric Society, vol. 56(4), pages 755-785, July.
    3. Cole, Harold L. & Mailath, George J. & Postlewaite, Andrew, 2001. "Efficient Non-Contractible Investments in Large Economies," Journal of Economic Theory, Elsevier, vol. 101(2), pages 333-373, December.
    4. Hart, Oliver & Moore, John, 1990. "Property Rights and the Nature of the Firm," Journal of Political Economy, University of Chicago Press, vol. 98(6), pages 1119-1158, December.
    5. Moore, John & Repullo, Rafael, 1988. "Subgame Perfect Implementation," Econometrica, Econometric Society, vol. 56(5), pages 1191-1220, September.
    6. Gul, Faruk, 2001. "Unobservable Investment and the Hold-Up Problem," Econometrica, Econometric Society, vol. 69(2), pages 343-376, March.
    7. Philippe Aghion & Drew Fudenberg & Richard Holden & Takashi Kunimoto & Olivier Tercieux, 2012. "Subgame-Perfect Implementation Under Information Perturbations," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 127(4), pages 1843-1881.
    8. Walker, Mark, 1980. "On the Nonexistence of a Dominant Strategy Mechanism for Making Optimal Public Decisions," Econometrica, Econometric Society, vol. 48(6), pages 1521-1540, September.
    9. Bergin, James & Sen, Arunava, 1998. "Extensive Form Implementation in Incomplete Information Environments," Journal of Economic Theory, Elsevier, vol. 80(2), pages 222-256, June.
    10. Williamson, Oliver E, 1979. "Transaction-Cost Economics: The Governance of Contractural Relations," Journal of Law and Economics, University of Chicago Press, vol. 22(2), pages 233-261, October.
    11. Leonardo Felli & Kevin Roberts, 2016. "Does Competition Solve the Hold-up Problem?," Economica, London School of Economics and Political Science, vol. 83(329), pages 172-200, January.
    12. de Meza, David & Lockwood, Ben, 2010. "Too much investment? A problem of endogenous outside options," Games and Economic Behavior, Elsevier, vol. 69(2), pages 503-511, July.
    13. Georg Nöldeke & Larry Samuelson, 2015. "Investment and Competitive Matching," Econometrica, Econometric Society, vol. 83(3), pages 835-896, May.
    14. Hitoshi Matsushima & Shunya Noda, 2016. "Mechanism Design in Hidden Action and Hidden Information: Richness and Pure Groves," CARF F-Series CARF-F-386, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    15. William P. Rogerson, 1992. "Contractual Solutions to the Hold-Up Problem," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 59(4), pages 777-793.
    16. Tomoeda, Kentaro, 2017. "First-price auction implements efficient investments," Economics Letters, Elsevier, vol. 159(C), pages 198-200.
    17. Milgrom, Paul R, 1981. "Rational Expectations, Information Acquisition, and Competitive Bidding," Econometrica, Econometric Society, vol. 49(4), pages 921-943, June.
    18. Green, Jerry & Laffont, Jean-Jacques, 1977. "On the revelation of preferences for public goods," Journal of Public Economics, Elsevier, vol. 8(1), pages 79-93, August.
    19. Klein, Benjamin & Crawford, Robert G & Alchian, Armen A, 1978. "Vertical Integration, Appropriable Rents, and the Competitive Contracting Process," Journal of Law and Economics, University of Chicago Press, vol. 21(2), pages 297-326, October.
    20. Brusco, Sandro, 1995. "Perfect Bayesian Implementation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(3), pages 419-444, May.
    21. Laffont, Jean-Jacques & Tirole, Jean, 1986. "Using Cost Observation to Regulate Firms," Journal of Political Economy, University of Chicago Press, vol. 94(3), pages 614-641, June.
    22. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-438, March.
    23. Grossman, Sanford J & Hart, Oliver D, 1986. "The Costs and Benefits of Ownership: A Theory of Vertical and Lateral Integration," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 691-719, August.
    24. Laffont, Jean-Jacques & Tirole, Jean, 1987. "Auctioning Incentive Contracts," Journal of Political Economy, University of Chicago Press, vol. 95(5), pages 921-937, October.
    25. R. Preston McAfee & John McMillan, 1986. "Bidding for Contracts: A Principal-Agent Analysis," RAND Journal of Economics, The RAND Corporation, vol. 17(3), pages 326-338, Autumn.
    26. Aghion, Philippe & Dewatripont, Mathias & Rey, Patrick, 1994. "Renegotiation Design with Unverifiable Information," Econometrica, Econometric Society, vol. 62(2), pages 257-282, March.
    27. Stegeman, Mark, 1996. "Participation Costs and Efficient Auctions," Journal of Economic Theory, Elsevier, vol. 71(1), pages 228-259, October.
    28. repec:hal:pseose:hal-00812781 is not listed on IDEAS
    29. Leandro Arozamena & Estelle Cantillon, 2004. "Investment Incentives in Procurement Auctions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(1), pages 1-18.
    30. John Duggan, 1998. "An extensive form solution to the adverse selection problem in principal/multi-agent environments," Review of Economic Design, Springer;Society for Economic Design, vol. 3(2), pages 167-191.
    31. Eric Maskin & Jean Tirole, 1999. "Unforeseen Contingencies and Incomplete Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 66(1), pages 83-114.
    32. Cole Harold Linh & Mailath George J. & Postlewaite Andrew, 2001. "Efficient Non-Contractible Investments in Finite Economies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 1(1), pages 1-34, March.
    33. Williamson, Oliver E, 1983. "Credible Commitments: Using Hostages to Support Exchange," American Economic Review, American Economic Association, vol. 73(4), pages 519-540, September.
    34. Hart, Oliver, 1995. "Firms, Contracts, and Financial Structure," OUP Catalogue, Oxford University Press, number 9780198288817.
    35. Mailath, George J. & Postlewaite, Andrew & Samuelson, Larry, 2013. "Pricing and investments in matching markets," Theoretical Economics, Econometric Society, vol. 8(2), May.
    36. Bag, Parimal Kanti, 1997. "Optimal auction design and R&D," European Economic Review, Elsevier, vol. 41(9), pages 1655-1674, December.
    37. Simon Loertscher & Michael H. Riordan, 2019. "Make and Buy: Outsourcing, Vertical Integration, and Cost Reduction," American Economic Journal: Microeconomics, American Economic Association, vol. 11(1), pages 105-123, February.
    38. Piccione, Michele & Tan, Guofu, 1996. "Cost-Reducing Investment, Optimal Procurement and Implementation by Auctions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(3), pages 663-685, August.
    39. Dirk Bergemann & Juuso Valimaki, 2002. "Information Acquisition and Efficient Mechanism Design," Econometrica, Econometric Society, vol. 70(3), pages 1007-1033, May.
    40. Baliga, Sandeep, 1999. "Implementation in Economic Environments with Incomplete Information: The Use of Multi-Stage Games," Games and Economic Behavior, Elsevier, vol. 27(2), pages 173-183, May.
    41. Tan, Guofu, 1992. "Entry and R & D in procurement contracting," Journal of Economic Theory, Elsevier, vol. 58(1), pages 41-60, October.
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    Cited by:

    1. Hitoshi Matsushima & Shunya Noda, 2019. "Mechanism Design with General Ex-Ante Investments (Revised version of F415 )," CARF F-Series CARF-F-464, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
    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.
    6. Sano, Ryuji, 2023. "Post-auction investment by financially constrained bidders," Journal of Economic Theory, Elsevier, vol. 213(C).

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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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