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Strategic exits in stochastic partnerships: the curse of profitability

Author

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  • Xu, Boli

    (Department of Economics, Tippie College of Business, University of Iowa)

Abstract

We study dynamic partnerships where the output evolves stochastically, each player can exit at any time, and players who have exited continue to accrue some benefits if the remaining players keep contributing to the partnership. Players can strategically exit to free-ride on their partners' contributions, knowing that it may trigger subsequent exits of their partners. We characterize the unique Pareto-optimal equilibrium. When players have sufficiently large free-riding incentives and a medium level of mutual reliance, this equilibrium exhibits a curse of profitability: An increase in the partnership's output may strictly harm all the players. Another main finding is that Pareto-improvement can be achieved if any player commits not to exit first.

Suggested Citation

  • Xu, Boli, 0. "Strategic exits in stochastic partnerships: the curse of profitability," Theoretical Economics, Econometric Society.
  • Handle: RePEc:the:publsh:6111
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    References listed on IDEAS

    as
    1. Leslie M. Marx & Steven A. Matthews, 2000. "Dynamic Voluntary Contribution to a Public Project," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(2), pages 327-358.
    2. Dutta, Prajit K & Rustichini, Aldo, 1993. "A Theory of Stopping Time Games with Applications to Product Innovations and Asset Sales," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 3(4), pages 743-763, October.
    3. Fershtman, Chaim & Nitzan, Shmuel, 1991. "Dynamic voluntary provision of public goods," European Economic Review, Elsevier, vol. 35(5), pages 1057-1067, July.
    4. Helen Weeds, 2002. "Strategic Delay in a Real Options Model of R&D Competition," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 69(3), pages 729-747.
    5. Jovanovic, Boyan & MacDonald, Glenn M, 1994. "The Life Cycle of a Competitive Industry," Journal of Political Economy, University of Chicago Press, vol. 102(2), pages 322-347, April.
    6. Pauli Murto, 2004. "Exit in Duopoly Under Uncertainty," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 111-127, Spring.
    7. Farrell, Joseph & Maskin, Eric, 1989. "Renegotiation in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 327-360, December.
    8. Doruk Cetemen & Can Urgun & Leeat Yariv, 2023. "Collective Progress: Dynamics of Exit Waves," Journal of Political Economy, University of Chicago Press, vol. 131(9), pages 2402-2450.
    9. Gregorio Curello, 2021. "Incentives for Collective Innovation," Papers 2109.01885, arXiv.org, revised Nov 2025.
    10. Kirpalani, Rishabh & Madsen, Erik, 2023. "Strategic investment evaluation," Theoretical Economics, Econometric Society, vol. 18(3), July.
    11. Dilip Abreu & Faruk Gul, 2000. "Bargaining and Reputation," Econometrica, Econometric Society, vol. 68(1), pages 85-118, January.
    12. Catherine Bobtcheff & Jérôme Bolte & Thomas Mariotti, 2017. "Researcher’s Dilemma," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(3), pages 969-1014.
    13. Curello, Gregorio, 2023. "Incentives for Collective Innovation," VfS Annual Conference 2023 (Regensburg): Growth and the "sociale Frage" 277708, Verein für Socialpolitik / German Economic Association.
    14. Dinah Rosenberg & Eilon Solan & Nicolas Vieille, 2007. "Social Learning in One-Arm Bandit Problems," Econometrica, Econometric Society, vol. 75(6), pages 1591-1611, November.
    15. Evans, Robert & Maskin, Eric, 1989. "Efficient renegotiation--proof equilibria in repeated games," Games and Economic Behavior, Elsevier, vol. 1(4), pages 361-369, December.
    16. Riedel, Frank & Steg, Jan-Henrik, 2017. "Subgame-perfect equilibria in stochastic timing games," Journal of Mathematical Economics, Elsevier, vol. 72(C), pages 36-50.
    17. Chamley, Christophe & Gale, Douglas, 1994. "Information Revelation and Strategic Delay in a Model of Investment," Econometrica, Econometric Society, vol. 62(5), pages 1065-1085, September.
    18. Drew Fudenberg & Jean Tirole, 1985. "Preemption and Rent Equalization in the Adoption of New Technology," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(3), pages 383-401.
    19. Ufuk Akcigit & Qingmin Liu, 2016. "The Role Of Information In Innovation And Competition," Journal of the European Economic Association, European Economic Association, vol. 14(4), pages 828-870, August.
    20. Yu Awaya & Vijay Krishna, 2021. "Startups and Upstarts: Disadvantageous Information in R&D," Journal of Political Economy, University of Chicago Press, vol. 129(2), pages 534-569.
    21. Bulow, Jeremy & Klemperer, Paul, 1994. "Rational Frenzies and Crashes," Journal of Political Economy, University of Chicago Press, vol. 102(1), pages 1-23, February.
    22. David McAdams, 2011. "Performance and Turnover in a Stochastic Partnership," American Economic Journal: Microeconomics, American Economic Association, vol. 3(4), pages 107-142, November.
    23. Zhou, Junjie & Chen, Ying-Ju, 2015. "Key leaders in social networks," Journal of Economic Theory, Elsevier, vol. 157(C), pages 212-235.
    24. Parikshit Ghosh & Debraj Ray, 1996. "Cooperation in Community Interaction Without Information Flows," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(3), pages 491-519.
    25. Murto, Pauli & Välimäki, Juuso, 2013. "Delay and information aggregation in stopping games with private information," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2404-2435.
    26. Caroline D. Thomas, 2021. "Strategic Experimentation with Congestion," American Economic Journal: Microeconomics, American Economic Association, vol. 13(1), pages 1-82, February.
    27. George Georgiadis, 2015. "Projects and Team Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(1), pages 187-218.
    28. Strulovici, Bruno & Szydlowski, Martin, 2015. "On the smoothness of value functions and the existence of optimal strategies in diffusion models," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 1016-1055.
    29. Takako Fujiwara-Greve & Masahiro Okuno-Fujiwara, 2009. "Voluntarily Separable Repeated Prisoner's Dilemma," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 76(3), pages 993-1021.
    30. Moscarini, Giuseppe & Squintani, Francesco, 2010. "Competitive experimentation with private information: The survivor's curse," Journal of Economic Theory, Elsevier, vol. 145(2), pages 639-660, March.
    31. Margaria, Chiara, 2020. "Learning and payoff externalities in an investment game," Games and Economic Behavior, Elsevier, vol. 119(C), pages 234-250.
    32. Pauli Murto & Juuso Välimäki, 2011. "Learning and Information Aggregation in an Exit Game," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(4), pages 1426-1461.
    33. Grenadier, Steven R, 1996. "The Strategic Exercise of Options: Development Cascades and Overbuilding in Real Estate Markets," Journal of Finance, American Finance Association, vol. 51(5), pages 1653-1679, December.
    34. Stéphane Villeneuve, 2007. "On the Threshold Strategies and Smooth-Fit Principle For Optimal Stopping Problems," Post-Print hal-00173165, HAL.
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    Keywords

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    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure

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