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Finite Horizon Holdup and How to Cross the River

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When should one pay the ferryman? When should one pay for delivery of a good if there are no institutions or these are too costly to enforce contracts? We suggest to break up the transaction into many small rounds of investment and payment. We show that the e?cient investment can be implemented in an e-subgame perfect equilibrium for any given e if there are su?ciently many rounds of investment. This shows that when the horizon is ?nite, the holdup problem that emerges from backwards induction is not robust. Equilibria with stable and robust strategies require more periods.

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  • Simon Martin & Karl H. Schlag, 2017. "Finite Horizon Holdup and How to Cross the River," Vienna Economics Papers vie1706, University of Vienna, Department of Economics.
  • Handle: RePEc:vie:viennp:vie1706
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    1. Palfrey, Thomas R. & Prisbrey, Jeffrey E., 1996. "Altuism, reputation and noise in linear public goods experiments," Journal of Public Economics, Elsevier, vol. 61(3), pages 409-427, September.
    2. Pitchford, Rohan & Snyder, Christopher M., 2004. "A solution to the hold-up problem involving gradual investment," Journal of Economic Theory, Elsevier, vol. 114(1), pages 88-103, January.
    3. Barlo, Mehmet & Dalkiran, Nuh Aygun, 2009. "Epsilon-Nash implementation," Economics Letters, Elsevier, vol. 102(1), pages 36-38, January.
    4. Mailath, George J. & Postlewaite, Andrew & Samuelson, Larry, 2005. "Contemporaneous perfect epsilon-equilibria," Games and Economic Behavior, Elsevier, vol. 53(1), pages 126-140, October.
    5. Carl Shapiro, 1982. "Consumer Information, Product Quality, and Seller Reputation," Bell Journal of Economics, The RAND Corporation, vol. 13(1), pages 20-35, Spring.
    6. Ben Lockwood & Jonathan P. Thomas, 2002. "Gradualism and Irreversibility," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(2), pages 339-356.
    7. Anat R. Admati & Motty Perry, 1991. "Joint Projects without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 259-276.
    8. Michael R. Baye & John Morgan, 2004. "Price Dispersion in the Lab and on the Internet: Theory and Evidence," RAND Journal of Economics, The RAND Corporation, vol. 35(3), pages 448-466, Autumn.
    9. Dirk Bergemann & Karl Schlag, 2012. "Robust Monopoly Pricing," World Scientific Book Chapters, in: Robust Mechanism Design The Role of Private Information and Higher Order Beliefs, chapter 13, pages 417-441, World Scientific Publishing Co. Pte. Ltd..
    10. Radner, Roy, 1980. "Collusive behavior in noncooperative epsilon-equilibria of oligopolies with long but finite lives," Journal of Economic Theory, Elsevier, vol. 22(2), pages 136-154, April.
    11. Uwe Dulleck & Rudolf Kerschbamer & Matthias Sutter, 2011. "The Economics of Credence Goods: An Experiment on the Role of Liability, Verifiability, Reputation, and Competition," American Economic Review, American Economic Association, vol. 101(2), pages 526-555, April.
    12. Milgrom, Paul, 2010. "Simplified mechanisms with an application to sponsored-search auctions," Games and Economic Behavior, Elsevier, vol. 70(1), pages 62-70, September.
    13. Melis Kartal, 2018. "Honest Equilibria in Reputation Games: The Role of Time Preferences," American Economic Journal: Microeconomics, American Economic Association, vol. 10(1), pages 278-314, February.
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    More about this item

    JEL classification:

    • D23 - Microeconomics - - Production and Organizations - - - Organizational Behavior; Transaction Costs; Property Rights
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • L14 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Transactional Relationships; Contracts and Reputation

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