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Dynamic Voluntary Contribution to a Public Project under Time-Inconsistency

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  • Ahmet Altiok
  • Murat Yilmaz

Abstract

We study a general voluntary public good provision model and introduce time inconsistency through β-δ preferences. There is a public project and finitely many agents where each agent is allowed to contribute any amount she likes in any period she likes before the project is completed. The agents have discontinuous preferences over the total contribution with a jump when the project is completed. There is complete information about the environment but imperfect information about others’ individual actions: in each period, each agent observes only the total contribution made, not other agents’ individual contributions. Assuming the agents are time-inconsistent and sophisticated, we characterize the set of equilibria. We compare the set of equilibrium outcomes under sophisticated time-inconsistent agents to that under time-consistent agents. More importantly, we show that for any given project that is completed in finite time by time-consistent agents, sophisticated time-inconsistent agents complete the project earlier than time-consistent agents.
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Suggested Citation

  • Ahmet Altiok & Murat Yilmaz, 2014. "Dynamic Voluntary Contribution to a Public Project under Time-Inconsistency," Working Papers 2014/08, Bogazici University, Department of Economics.
  • Handle: RePEc:bou:wpaper:2014/08
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    1. Eve Chiapello & A. Hurand, 2011. "Contribution," Post-Print hal-00681170, HAL.
    2. Jingfeng Lu & Euston Quah, 2009. "Private Provisions of a Discrete Public Good with Voluntary Participation," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 11(3), pages 343-362, June.
    3. Takeuchi, Kan, 2011. "Non-parametric test of time consistency: Present bias and future bias," Games and Economic Behavior, Elsevier, vol. 71(2), pages 456-478, March.
    4. 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.
    5. Andreoni, James, 1988. "Why free ride? : Strategies and learning in public goods experiments," Journal of Public Economics, Elsevier, vol. 37(3), pages 291-304, December.
    6. O'Donoghue, Ted & Rabin, Matthew, 2008. "Procrastination on long-term projects," Journal of Economic Behavior & Organization, Elsevier, vol. 66(2), pages 161-175, May.
    7. Duffy, John & Ochs, Jack & Vesterlund, Lise, 2007. "Giving little by little: Dynamic voluntary contribution games," Journal of Public Economics, Elsevier, vol. 91(9), pages 1708-1730, September.
    8. Didier Laussel & Thomas R. Palfrey, 2003. "Efficient Equilibria in the Voluntary Contributions Mechanism with Private Information," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 5(3), pages 449-478, July.
    9. Matthew Rabin & Ted O'Donoghue, 1999. "Doing It Now or Later," American Economic Review, American Economic Association, vol. 89(1), pages 103-124, March.
    10. Stefano DellaVigna & Ulrike Malmendier, 2004. "Contract Design and Self-Control: Theory and Evidence," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(2), pages 353-402.
    11. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(3), pages 165-180.
    12. Gilpatric, Scott M., 2008. "Present-biased preferences, self-awareness and shirking," Journal of Economic Behavior & Organization, Elsevier, vol. 67(3-4), pages 735-754, September.
    13. Fershtman, Chaim & Nitzan, Shmuel, 1991. "Dynamic voluntary provision of public goods," European Economic Review, Elsevier, vol. 35(5), pages 1057-1067, July.
    14. Ted O'Donoghue & Matthew Rabin, 2001. "Choice and Procrastination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 116(1), pages 121-160.
    15. Ledyard, John O. & Palfrey, Thomas R., 2002. "The approximation of efficient public good mechanisms by simple voting schemes," Journal of Public Economics, Elsevier, vol. 83(2), pages 153-171, February.
    16. Parimal Bag & Santanu Roy, 2011. "On sequential and simultaneous contributions under incomplete information," International Journal of Game Theory, Springer;Game Theory Society, vol. 40(1), pages 119-145, February.
    17. George Georgiadis, 2015. "Projects and Team Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(1), pages 187-218.
    18. Marwell, Gerald & Ames, Ruth E., 1981. "Economists free ride, does anyone else? : Experiments on the provision of public goods, IV," Journal of Public Economics, Elsevier, vol. 15(3), pages 295-310, June.
    19. Alberto Bisin & Alessandro Lizzeri & Leeat Yariv, 2015. "Government Policy with Time Inconsistent Voters," American Economic Review, American Economic Association, vol. 105(6), pages 1711-1737, June.
    20. Ledyard, John O. & Palfrey, Thomas R., 2007. "A general characterization of interim efficient mechanisms for independent linear environments," Journal of Economic Theory, Elsevier, vol. 133(1), pages 441-466, March.
    21. Compte, Olivier & Jehiel, Philippe, 2003. "Voluntary contributions to a joint project with asymmetric agents," Journal of Economic Theory, Elsevier, vol. 112(2), pages 334-342, October.
    22. Shane Frederick & George Loewenstein & Ted O'Donoghue, 2002. "Time Discounting and Time Preference: A Critical Review," Journal of Economic Literature, American Economic Association, vol. 40(2), pages 351-401, June.
    23. Bliss, Christopher & Nalebuff, Barry, 1984. "Dragon-slaying and ballroom dancing: The private supply of a public good," Journal of Public Economics, Elsevier, vol. 25(1-2), pages 1-12, November.
    24. Oliver Kim & Mark Walker, 1984. "The free rider problem: Experimental evidence," Public Choice, Springer, vol. 43(1), pages 3-24, January.
    25. 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.
    26. George Loewenstein & Drazen Prelec, 1992. "Anomalies in Intertemporal Choice: Evidence and an Interpretation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 573-597.
    27. Bergstrom, Theodore & Blume, Lawrence & Varian, Hal, 1986. "On the private provision of public goods," Journal of Public Economics, Elsevier, vol. 29(1), pages 25-49, February.
    28. John O. Ledyard & Thomas R. Palfrey, 1999. "A Characterization of Interim Efficiency with Public Goods," Econometrica, Econometric Society, vol. 67(2), pages 435-448, March.
    29. Barbieri Stefano & Malueg David A., 2010. "Profit-Maximizing Sale of a Discrete Public Good via the Subscription Game in Private-Information Environments," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-31, February.
    30. Massimo Morelli & Lise Vesterlund, 2000. "Provision Point Mechanisms and Over Provision of Public Goods," Working Papers 00-14, Ohio State University, Department of Economics.
    31. Akin, Zafer, 2012. "Intertemporal decision making with present biased preferences," Journal of Economic Psychology, Elsevier, vol. 33(1), pages 30-47.
    32. Varian, Hal R., 1994. "Sequential contributions to public goods," Journal of Public Economics, Elsevier, vol. 53(2), pages 165-186, February.
    33. Akin, Zafer, 2009. "Imperfect information processing in sequential bargaining games with present biased preferences," Journal of Economic Psychology, Elsevier, vol. 30(4), pages 642-650, August.
    34. Mark Bagnoli & Barton L. Lipman, 1989. "Provision of Public Goods: Fully Implementing the Core through Private Contributions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 583-601.
    35. Chade, Hector & Prokopovych, Pavlo & Smith, Lones, 2008. "Repeated games with present-biased preferences," Journal of Economic Theory, Elsevier, vol. 139(1), pages 157-175, March.
    36. David Laibson, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 112(2), pages 443-478.
    37. Serdar Sayman & Ayse Öncüler, 2009. "An Investigation of Time Inconsistency," Management Science, INFORMS, vol. 55(3), pages 470-482, March.
    38. E. S. Phelps & R. A. Pollak, 1968. "On Second-Best National Saving and Game-Equilibrium Growth," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 185-199.
    39. Ted O'Donoghue & Matthew Rabin, 1999. "Incentives for Procrastinators," The Quarterly Journal of Economics, Oxford University Press, vol. 114(3), pages 769-816.
    40. Stefano Barbieri & David Malueg, 2008. "Private provision of a discrete public good: efficient equilibria in the private-information contribution game," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 37(1), pages 51-80, October.
    41. Smith, Vernon L, 1976. "Experimental Economics: Induced Value Theory," American Economic Review, American Economic Association, vol. 66(2), pages 274-279, May.
    42. Stefano Barbieri & David A. Malueg, 2008. "Private Provision of a Discrete Public Good: Continuous‐Strategy Equilibria in the Private‐Information Subscription Game," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(4), pages 529-545, August.
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    2. Murat Yilmaz, 2018. "An Extended Survey of Time-Inconsistency and Its Applications," Bogazici Journal, Review of Social, Economic and Administrative Studies, Bogazici University, Department of Economics, vol. 32(1), pages 55-73.

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    More about this item

    JEL classification:

    • D03 - Microeconomics - - General - - - Behavioral Microeconomics: Underlying Principles
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games

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