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Optimal Crowdfunding Design

Author

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  • Matthew Ellman

    (Institute for Economic Analysis (CSIC) and BGSE, Campus UAB, 08193 Bellaterra, Spain)

  • Sjaak Hurkens

    (Institute for Economic Analysis (CSIC) and BGSE, Campus UAB, 08193 Bellaterra, Spain)

Abstract

This paper investigates the optimal design of crowdfunding where crowdfunders are potential consumers with standard motivations and entrepreneurs are profit-maximizing agents. We characterize the typical crowdfunding mechanism where the entrepreneur commits to produce only if aggregate funding exceeds a defined threshold. We study how the entrepreneur uses this threshold, in conjunction with a minimal price, for rent extraction. Compared to a standard posted-price mechanism, total welfare may rise because the entrepreneur can adapt the production decision to demand conditions, but may fall because rent-seeking can worsen. Crowdfunding platforms can raise threshold credibility. So we also compare outcomes when the entrepreneur commits to a threshold against those where the entrepreneur simply decides on production after observing crowdfunder bids. Finally, we contrast crowdfunding with the optimal mechanism where production is contingent on a general function of all bids, rather than the simple sum of bids obliged by the aggregate threshold rule. Crowdfunding is very different, for instance, never committing to produce the good when aggregate bids fall short of the fixed cost (even absent credit constraints).

Suggested Citation

  • Matthew Ellman & Sjaak Hurkens, 2014. "Optimal Crowdfunding Design," Working Papers 14-21, NET Institute.
  • Handle: RePEc:net:wpaper:1421
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    1. Jan Potters & Martin Sefton & Lise Vesterlund, 2007. "Leading-by-example and signaling in voluntary contribution games: an experimental study," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(1), pages 169-182, October.
    2. Palfrey, Thomas R. & Rosenthal, Howard, 1984. "Participation and the provision of discrete public goods: a strategic analysis," Journal of Public Economics, Elsevier, vol. 24(2), pages 171-193, July.
    3. 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.
    4. 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.
    5. Belleflamme, Paul & Omrani, Nessrine & Peitz, Martin, 2015. "The economics of crowdfunding platforms," Information Economics and Policy, Elsevier, vol. 33(C), pages 11-28.
    6. Henry Hansmann, 1981. "Nonprofit Enterprise in the Performing Arts," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 341-361, Autumn.
    7. Bergemann, Dirk & Pesendorfer, Martin, 2007. "Information structures in optimal auctions," Journal of Economic Theory, Elsevier, vol. 137(1), pages 580-609, November.
    8. Crosetto, Paolo & Regner, Tobias, 2018. "It's never too late: Funding dynamics and self pledges in reward-based crowdfunding," Research Policy, Elsevier, vol. 47(8), pages 1463-1477.
    9. Roland Strausz, 2015. "Crowdfunding, demand uncertainty, and moral hazard - a mechanism design approach," SFB 649 Discussion Papers SFB649DP2015-036, Sonderforschungsbereich 649, Humboldt University, Berlin, Germany.
    10. Schmitz, Patrick W, 1997. "Monopolistic Provision of Excludable Public Goods under Private Information," Public Finance = Finances publiques, , vol. 52(1), pages 89-101.
    11. Marco Sahm, 2015. "Advance-Purchase Financing of Projects with Few Buyers," CESifo Working Paper Series 5560, CESifo.
    12. Marc Möller & Makoto Watanabe, 2010. "Advance Purchase Discounts Versus Clearance Sales," Economic Journal, Royal Economic Society, vol. 120(547), pages 1125-1148, September.
    13. Ajay Agrawal & Christian Catalini & Avi Goldfarb, 2015. "Crowdfunding: Geography, Social Networks, and the Timing of Investment Decisions," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 24(2), pages 253-274, June.
    14. 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.
    15. 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.
    16. Ellman, Matthew & Hurkens, Sjaak, 2019. "Optimal crowdfunding design," Journal of Economic Theory, Elsevier, vol. 184(C).
    17. Gilles Chemla & Katrin Tinn, 2020. "Learning Through Crowdfunding," Management Science, INFORMS, vol. 66(5), pages 1783-1801, May.
    18. Timothy Feddersen & Alvaro Sandroni, 2006. "A Theory of Participation in Elections," American Economic Review, American Economic Association, vol. 96(4), pages 1271-1282, September.
    19. Roland Strausz, 2017. "A Theory of Crowdfunding: A Mechanism Design Approach with Demand Uncertainty and Moral Hazard," American Economic Review, American Economic Association, vol. 107(6), pages 1430-1476, June.
    20. 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.
    21. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    22. d'Aspremont, Claude & Gerard-Varet, Louis-Andre, 1979. "Incentives and incomplete information," Journal of Public Economics, Elsevier, vol. 11(1), pages 25-45, February.
    23. 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.
    24. Douglas W. Diamond, 1984. "Financial Intermediation and Delegated Monitoring," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 51(3), pages 393-414.
    25. Nocke, Volker & Peitz, Martin & Rosar, Frank, 2011. "Advance-purchase discounts as a price discrimination device," Journal of Economic Theory, Elsevier, vol. 146(1), pages 141-162, January.
    26. d'Aspremont, Claude & Cremer, Jacques & Gerard-Varet, Louis-Andre, 2004. "Balanced Bayesian mechanisms," Journal of Economic Theory, Elsevier, vol. 115(2), pages 385-396, April.
    27. Pascal Courty & Li Hao, 2000. "Sequential Screening," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 697-717.
    28. Mollick, Ethan, 2014. "The dynamics of crowdfunding: An exploratory study," Journal of Business Venturing, Elsevier, vol. 29(1), pages 1-16.
    29. Kurtis Swope, 2002. "An Experimental Investigation of Excludable Public Goods," Experimental Economics, Springer;Economic Science Association, vol. 5(3), pages 209-222, December.
    30. Ajay Agrawal & Christian Catalini & Avi Goldfarb, 2014. "Some Simple Economics of Crowdfunding," Innovation Policy and the Economy, University of Chicago Press, vol. 14(1), pages 63-97.
    31. Timothy J. Feddersen, 2004. "Rational Choice Theory and the Paradox of Not Voting," Journal of Economic Perspectives, American Economic Association, vol. 18(1), pages 99-112, Winter.
    32. Gale, Ian L & Holmes, Thomas J, 1993. "Advance-Purchase Discounts and Monopoly Allocation of Capacity," American Economic Review, American Economic Association, vol. 83(1), pages 135-146, March.
    33. Peter Norman, 2004. "Efficient Mechanisms for Public Goods with Use Exclusions," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 71(4), pages 1163-1188.
    34. Sahm, Marco, 2015. "Advance-Purchase Financing of Projects with Few Buyers," VfS Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113122, Verein für Socialpolitik / German Economic Association.
    35. Stephen Coate & Michael Conlin, 2004. "A Group Rule–Utilitarian Approach to Voter Turnout: Theory and Evidence," American Economic Review, American Economic Association, vol. 94(5), pages 1476-1504, December.
    36. 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.
    37. Matthew O. Jackson, 2001. "A crash course in implementation theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 655-708.
    38. Pitschner, Stefan & Pitschner-Finn, Sebastian, 2014. "Non-profit differentials in crowd-based financing: Evidence from 50,000 campaigns," Economics Letters, Elsevier, vol. 123(3), pages 391-394.
    39. Romano, Richard E, 1991. "When Excessive Consumption Is Rational," American Economic Review, American Economic Association, vol. 81(3), pages 553-564, June.
    40. Schram, Arthur & Sonnemans, Joep, 1996. "Voter Turnout as a Participation Game: An Experimental Investigation," International Journal of Game Theory, Springer;Game Theory Society, vol. 25(3), pages 385-406.
    41. 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.
    42. Cornelli, Francesca, 1996. "Optimal Selling Procedures with Fixed Costs," Journal of Economic Theory, Elsevier, vol. 71(1), pages 1-30, October.
    43. Varian, Hal R., 1994. "Sequential contributions to public goods," Journal of Public Economics, Elsevier, vol. 53(2), pages 165-186, February.
    44. Paul Gompers & Josh Lerner, 2001. "The Venture Capital Revolution," Journal of Economic Perspectives, American Economic Association, vol. 15(2), pages 145-168, Spring.
    45. Schlegel, Friederike & Hakenes, Hendrik, 2014. "Tapping the Financial Wisdom of the Crowd - Crowdfunding as a Tool to Aggregate Vague Information," VfS Annual Conference 2014 (Hamburg): Evidence-based Economic Policy 100563, Verein für Socialpolitik / German Economic Association.
    46. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    47. Cremer, Jacques & McLean, Richard P, 1988. "Full Extraction of the Surplus in Bayesian and Dominant Strategy Auctions," Econometrica, Econometric Society, vol. 56(6), pages 1247-1257, November.
    48. Ellman, Matthew & Hurkens, Sjaak, 2019. "Fraud tolerance in optimal crowdfunding," Economics Letters, Elsevier, vol. 181(C), pages 11-16.
    49. Strausz, Roland, 2017. "A Theory of Crowdfunding," Rationality and Competition Discussion Paper Series 2, CRC TRR 190 Rationality and Competition.
    50. Menezes, Flavio M. & Monteiro, Paulo K. & Temimi, Akram, 2001. "Private provision of discrete public goods with incomplete information," Journal of Mathematical Economics, Elsevier, vol. 35(4), pages 493-514, July.
    51. Romano, Richard & Yildirim, Huseyin, 2001. "Why charities announce donations: a positive perspective," Journal of Public Economics, Elsevier, vol. 81(3), pages 423-447, September.
    52. Dana, James D, Jr, 2001. "Monopoly Price Dispersion under Demand Uncertainty," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(3), pages 649-670, August.
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    More about this item

    Keywords

    Crowdfunding; mechanism design;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D42 - Microeconomics - - Market Structure, Pricing, and Design - - - Monopoly
    • L12 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Monopoly; Monopolization Strategies

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