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Estimating heterogeneous contributing strategies in threshold public goods provision: A structural analysis

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  • An, Yonghong
  • Hu, Yingyao
  • Liu, Pengfei

Abstract

We analyze a structural model of threshold public goods contributions, where the public good is provided only if the aggregated contributions reach or surpass the predetermined cost; otherwise contributions will be returned to individuals. Based on individual contributions to a public good in multiple periods, we are able to identify the number of contributing strategies, functional form for each strategy and the transition probabilities of contributing strategies conditional on the previous provision outcomes. The result of the constructive identification suggests a multi-step procedure to estimate the model primitives. Monte Carlo results illustrate that the procedure works well in practice. We apply the methodology to the experimental data we collected and show that subjects strategically respond to provision history by making an adjustment based on their preceding contributing strategies. We also find that subjects are more likely to adjust contribution strategies upon provision failures.

Suggested Citation

  • An, Yonghong & Hu, Yingyao & Liu, Pengfei, 2018. "Estimating heterogeneous contributing strategies in threshold public goods provision: A structural analysis," Journal of Economic Behavior & Organization, Elsevier, vol. 152(C), pages 124-146.
  • Handle: RePEc:eee:jeborg:v:152:y:2018:i:c:p:124-146
    DOI: 10.1016/j.jebo.2018.06.003
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    as
    1. Li, Tong & Perrigne, Isabelle & Vuong, Quang, 2000. "Conditionally independent private information in OCS wildcat auctions," Journal of Econometrics, Elsevier, vol. 98(1), pages 129-161, September.
    2. Fabrice Etilé & Pierre Combris & Urs Fischbacher & Simeon Schudy & Sabrina Teyssier, 2014. "Heterogeneous reactions to heterogeneity in returns from public goods," PSE-Ecole d'économie de Paris (Postprint) hal-02076872, HAL.
    3. Fischbacher, Urs & Gachter, Simon & Fehr, Ernst, 2001. "Are people conditionally cooperative? Evidence from a public goods experiment," Economics Letters, Elsevier, vol. 71(3), pages 397-404, June.
    4. Yingyao Hu & Susanne M. Schennach, 2008. "Instrumental Variable Treatment of Nonclassical Measurement Error Models," Econometrica, Econometric Society, vol. 76(1), pages 195-216, January.
    5. Xiao, Ruli, 2018. "Identification and estimation of incomplete information games with multiple equilibria," Journal of Econometrics, Elsevier, vol. 203(2), pages 328-343.
    6. Rachel Croson & Melanie Marks, 2000. "Step Returns in Threshold Public Goods: A Meta- and Experimental Analysis," Experimental Economics, Springer;Economic Science Association, vol. 2(3), pages 239-259, March.
    7. 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.
    8. Susan Athey & Philip A. Haile, 2002. "Identification of Standard Auction Models," Econometrica, Econometric Society, vol. 70(6), pages 2107-2140, November.
    9. Hu, Yingyao & McAdams, David & Shum, Matthew, 2013. "Identification of first-price auctions with non-separable unobserved heterogeneity," Journal of Econometrics, Elsevier, vol. 174(2), pages 186-193.
    10. Dirk Alboth & Anat Lerner & Jonathan Shalev, 2001. "Profit Maximizing in Auctions of Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(4), pages 501-525, October.
    11. Urs Fischbacher & Simon Gachter, 2010. "Social Preferences, Beliefs, and the Dynamics of Free Riding in Public Goods Experiments," American Economic Review, American Economic Association, vol. 100(1), pages 541-556, March.
    12. Hu, Yingyao, 2008. "Identification and estimation of nonlinear models with misclassification error using instrumental variables: A general solution," Journal of Econometrics, Elsevier, vol. 144(1), pages 27-61, May.
    13. Urs Fischbacher, 2007. "z-Tree: Zurich toolbox for ready-made economic experiments," Experimental Economics, Springer;Economic Science Association, vol. 10(2), pages 171-178, June.
    14. Vincent P. Crawford & Nagore Iriberri, 2007. "Level-k Auctions: Can a Nonequilibrium Model of Strategic Thinking Explain the Winner's Curse and Overbidding in Private-Value Auctions?," Econometrica, Econometric Society, vol. 75(6), pages 1721-1770, November.
    15. An, Yonghong, 2017. "Identification of first-price auctions with non-equilibrium beliefs: A measurement error approach," Journal of Econometrics, Elsevier, vol. 200(2), pages 326-343.
    16. Urs Fischbacher & Simeon Schudy & Sabrina Teyssier, 2014. "Heterogeneous reactions to heterogeneity in returns from public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(1), pages 195-217, June.
    17. Clemens, Christiane & Thomas Reichmann, 2003. "Discrete Public Goods: Contribution Levels and Learning as Outcomes of an Evolutionary Game," Royal Economic Society Annual Conference 2003 45, Royal Economic Society.
    18. Jean-Marc Robin & Richard Smith, 2000. "Tests of rank," Post-Print hal-03587662, HAL.
    19. Patrick Bajari & Ali Hortacsu, 2005. "Are Structural Estimates of Auction Models Reasonable? Evidence from Experimental Data," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 703-741, August.
    20. Elena Krasnokutskaya, 2011. "Identification and Estimation of Auction Models with Unobserved Heterogeneity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 78(1), pages 293-327.
    21. Hu, Yingyao & Kayaba, Yutaka & Shum, Matthew, 2013. "Nonparametric learning rules from bandit experiments: The eyes have it!," Games and Economic Behavior, Elsevier, vol. 81(C), pages 215-231.
    22. Robin, Jean-Marc & Smith, Richard J., 2000. "Tests Of Rank," Econometric Theory, Cambridge University Press, vol. 16(2), pages 151-175, April.
    23. Pengfei Liu & Stephen K. Swallow & Christopher M. Anderson, 2016. "Threshold-Level Public Goods Provision with Multiple Units: Experimental Effects of Disaggregated Groups with Rebates," Land Economics, University of Wisconsin Press, vol. 92(3), pages 515-533.
    24. 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.
    25. Cason, Timothy N. & Zubrickas, Robertas, 2017. "Enhancing fundraising with refund bonuses," Games and Economic Behavior, Elsevier, vol. 101(C), pages 218-233.
    26. 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.
    27. 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.
    28. Weimann, Joachim, 1994. "Individual behaviour in a free riding experiment," Journal of Public Economics, Elsevier, vol. 54(2), pages 185-200, June.
    29. Bagnoli, Mark & McKee, Michael, 1991. "Voluntary Contribution Games: Efficient Private Provision of Public Goods," Economic Inquiry, Western Economic Association International, vol. 29(2), pages 351-366, April.
    30. 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.
    31. An, Yonghong & Hu, Yingyao & Shum, Matthew, 2010. "Estimating first-price auctions with an unknown number of bidders: A misclassification approach," Journal of Econometrics, Elsevier, vol. 157(2), pages 328-341, August.
    32. Cadsby, Charles Bram & Maynes, Elizabeth, 1999. "Voluntary provision of threshold public goods with continuous contributions: experimental evidence," Journal of Public Economics, Elsevier, vol. 71(1), pages 53-73, January.
    33. 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.
    34. Healy, Paul J., 2006. "Learning dynamics for mechanism design: An experimental comparison of public goods mechanisms," Journal of Economic Theory, Elsevier, vol. 129(1), pages 114-149, July.
    35. Alboth, Dirk & Lerner, Anat & Shalev, Jonathan, 2001. "Profit Maximizing in Auctions of Public Goods," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 3(4), pages 501-525.
    36. Colin F. Camerer & Teck-Hua Ho & Juin-Kuan Chong, 2004. "A Cognitive Hierarchy Model of Games," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 119(3), pages 861-898.
    37. Whitney K. Newey & James L. Powell, 2003. "Instrumental Variable Estimation of Nonparametric Models," Econometrica, Econometric Society, vol. 71(5), pages 1565-1578, September.
    38. Chernozhukov, Victor & Imbens, Guido W. & Newey, Whitney K., 2007. "Instrumental variable estimation of nonseparable models," Journal of Econometrics, Elsevier, vol. 139(1), pages 4-14, July.
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