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Efficiency in Repeated Trade with Hidden Valuations

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  • Susan Athey
  • David Miller

Abstract

We analyze the extent to which efficient trade is possible in an ongoing relationship between impatient agents with hidden valuations (i.i.d. over time), restricting attention to equilibria that satisfy ex post incentive constraints in each period. With ex ante budget balance, efficient trade can be supported in each period if the discount factor is at least one half. In contrast, when the budget must balance ex post, efficiency is not attainable, and furthermore for a wide range of probability distributions over their valuations, the traders can do no better than employing a posted price mechanism in each period. Between these extremes, we consider a "bank'' that allows the traders to accumulate budget imbalances over time, but only within a bounded range. We construct non-stationary equilibria that allow traders to receive payoffs that approach efficiency as their discount factor approaches one, while the bank earns exactly zero expected profits. For some probability distributions there exist equilibria that yield exactly efficient payoffs for the players and zero profits for the bank, but such equilibria require high discount factors.
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Suggested Citation

  • Susan Athey & David Miller, 2006. "Efficiency in Repeated Trade with Hidden Valuations," Levine's Bibliography 784828000000000256, UCLA Department of Economics.
  • Handle: RePEc:cla:levrem:784828000000000256
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    File URL: http://www.stanford.edu/~athey/RepeatedTrade.pdf
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    References listed on IDEAS

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    1. Susan Athey & Andrew Atkeson & Patrick J. Kehoe, 2005. "The Optimal Degree of Discretion in Monetary Policy," Econometrica, Econometric Society, vol. 73(5), pages 1431-1475, September.
    2. Susan Athey & Kyle Bagwell & Chris Sanchirico, 2004. "Collusion and Price Rigidity," Review of Economic Studies, Oxford University Press, vol. 71(2), pages 317-349.
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    5. Athey, Susan & Bagwell, Kyle, 2001. "Optimal Collusion with Private Information," RAND Journal of Economics, The RAND Corporation, vol. 32(3), pages 428-465, Autumn.
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    10. Drew Fudenberg & David Levine & Eric Maskin, 2008. "The Folk Theorem With Imperfect Public Information," World Scientific Book Chapters,in: A Long-Run Collaboration On Long-Run Games, chapter 12, pages 231-273 World Scientific Publishing Co. Pte. Ltd..
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    Citations

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    Cited by:

    1. Drexl, Moritz & Kleiner, Andreas, 2013. "Preference Intensities in Repeated Collective Decision-Making," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79832, Verein für Socialpolitik / German Economic Association.
    2. Drexl, Moritz & Kleiner, Andreas, 2015. "Optimal private good allocation: The case for a balanced budget," Games and Economic Behavior, Elsevier, vol. 94(C), pages 169-181.
    3. repec:the:publsh:2234 is not listed on IDEAS
    4. Susan Athey & Ilya Segal, 2013. "An Efficient Dynamic Mechanism," Econometrica, Econometric Society, vol. 81(6), pages 2463-2485, November.
    5. Martin, Alberto & Vergote, Wouter, 2008. "On the role of retaliation in trade agreements," Journal of International Economics, Elsevier, vol. 76(1), pages 61-77, September.
    6. Andrzej Skrzypacz & Juuso Toikka, 2015. "Mechanisms for Repeated Trade," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 252-293, November.
    7. Eilat, Ran & Pauzner, Ady, 2011. "Optimal bilateral trade of multiple objects," Games and Economic Behavior, Elsevier, vol. 71(2), pages 503-512, March.
    8. Chan, Jimmy & Zhang, Wenzhang, 2015. "Collusion enforcement with private information and private monitoring," Journal of Economic Theory, Elsevier, vol. 157(C), pages 188-211.
    9. Leo, Greg, 2017. "Taking turns," Games and Economic Behavior, Elsevier, vol. 102(C), pages 525-547.
    10. Rohit Lamba & Ilia Krasikov, 2017. "A Theory of Dynamic Contracting with Financial Constraints," 2017 Meeting Papers 1544, Society for Economic Dynamics.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

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