IDEAS home Printed from https://ideas.repec.org/p/arx/papers/2311.08532.html

Crowdsearch

Author

Listed:
  • Hans Gersbach
  • Akaki Mamageishvili
  • Fikri Pitsuwan

Abstract

A common economic process is crowdsearch, wherein a group of agents is invited to search for a valuable physical or virtual object, e.g. creating and patenting an invention, solving an open scientific problem, or identifying vulnerabilities in software. We study a binary model of crowdsearch in which agents have different abilities to find the object. We characterize the types of equilibria and identify which type of crowd maximizes the likelihood of finding the object. Sometimes, however, an unlimited crowd is not sufficient to guarantee that the object is found. It even can happen that inviting more agents lowers the probability of finding the object. We characterize the optimal prize and show that offering only one prize (winner-takes-all) maximizes the probability of finding the object but is not necessarily optimal for the crowdsearch designer.

Suggested Citation

  • Hans Gersbach & Akaki Mamageishvili & Fikri Pitsuwan, 2023. "Crowdsearch," Papers 2311.08532, arXiv.org.
    • Handle: RePEc:arx:papers:2311.08532
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/2311.08532
    File Function: Latest version
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Jean Tirole, 1988. "The Theory of Industrial Organization," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262200716, December.
    2. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    3. Benny Moldovanu & Aner Sela, 2008. "The Optimal Allocation of Prizes in Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 615-631, Springer.
    4. Partha Dasgupta & Joseph Stiglitz, 1980. "Uncertainty, Industrial Structure, and the Speed of R&D," Bell Journal of Economics, The RAND Corporation, vol. 11(1), pages 1-28, Spring.
    5. Hanna Halaburda & Guillaume Haeringer & Joshua Gans & Neil Gandal, 2022. "The Microeconomics of Cryptocurrencies," Journal of Economic Literature, American Economic Association, vol. 60(3), pages 971-1013, September.
    6. Nick Arnosti & S. Matthew Weinberg, 2022. "Bitcoin: A Natural Oligopoly," Management Science, INFORMS, vol. 68(7), pages 4755-4771, July.
    7. Wioletta Dziuda & A. Arda Gitmez & Mehdi Shadmehr, 2021. "The Difficulty of Easy Projects," American Economic Review: Insights, American Economic Association, vol. 3(3), pages 285-302, September.
    8. Palfrey, Thomas R. & Rosenthal, Howard, 1985. "Voter Participation and Strategic Uncertainty," American Political Science Review, Cambridge University Press, vol. 79(1), pages 62-78, March.
    9. Hans Gersbach & Ulrich Schetter & Maik T. Schneider, 2021. "Macroeconomic Rationales For Public Investments In Science," Economic Inquiry, Western Economic Association International, vol. 59(2), pages 575-599, April.
    10. Jean-François Mercier, 2018. "Selecting contestants for a rent-seeking contest," International Journal of Game Theory, Springer;Game Theory Society, vol. 47(3), pages 927-947, September.
    11. Jacob D. Leshno & Philipp Strack, 2020. "Bitcoin: An Axiomatic Approach and an Impossibility Theorem," American Economic Review: Insights, American Economic Association, vol. 2(3), pages 269-286, September.
    12. Glenn C. Loury, 1979. "Market Structure and Innovation," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 395-410.
    13. Morton I. Kamien & Nancy L. Schwartz, 1978. "Potential Rivalry, Monopoly Profits and the Pace of Inventive Activity," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 45(3), pages 547-557.
    14. Hugo Hopenhayn & Francesco Squintani, 2021. "On the Direction of Innovation," Journal of Political Economy, University of Chicago Press, vol. 129(7), pages 1991-2022.
    15. Taylor, Curtis R, 1995. "Digging for Golden Carrots: An Analysis of Research Tournaments," American Economic Review, American Economic Association, vol. 85(4), pages 872-890, September.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. S. Keith Berry, 2006. "Firm Incentives for Invention Prizes with Multiple Winners," Eastern Economic Journal, Eastern Economic Association, vol. 32(1), pages 83-95, Winter.
    2. Mehrez, Abraham & Justman, Moshe, 2001. "On the efficiency of the parallel path R&D approach: a stochastic game analysis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 57(1), pages 19-28.
    3. Suzuki, Toru, 2012. "Competitive problem solving and the optimal prize schemes," Games and Economic Behavior, Elsevier, vol. 75(2), pages 1009-1013.
    4. Gilbert, Richard J. & Katz, Michael L., 2011. "Efficient division of profits from complementary innovations," International Journal of Industrial Organization, Elsevier, vol. 29(4), pages 443-454, July.
    5. Cedric Duvinage & Peter-J. Jost, 2019. "The Role of Referees in Professional Sports Contests," Journal of Sports Economics, , vol. 20(8), pages 1014-1050, December.
    6. Hinnosaar, Toomas, 2024. "Optimal sequential contests," Theoretical Economics, Econometric Society, vol. 19(1), January.
    7. Emmanuel Dechenaux & Dan Kovenock & Roman Sheremeta, 2015. "A survey of experimental research on contests, all-pay auctions and tournaments," Experimental Economics, Springer;Economic Science Association, vol. 18(4), pages 609-669, December.
    8. Kräkel, Matthias & Szech, Nora & von Bieberstein, Frauke, 2014. "Externalities in recruiting," Journal of Economic Behavior & Organization, Elsevier, vol. 107(PA), pages 123-135.
    9. Galasso, Alberto & Mitchell, Matthew & Virag, Gabor, 2018. "A theory of grand innovation prizes," Research Policy, Elsevier, vol. 47(2), pages 343-362.
    10. Thijssen, J.J.J., 2003. "Investment under uncertainty, market evolution and coalition spillovers in a game theoretic perspective," Other publications TiSEM 672073a6-492e-4621-8d4a-0, Tilburg University, School of Economics and Management.
    11. Kyung Hwan Baik & Jong Hwa Lee, 2013. "Endogenous Timing In Contests With Delegation," Economic Inquiry, Western Economic Association International, vol. 51(4), pages 2044-2055, October.
    12. Matros, Alexander & Smirnov, Vladimir, 2016. "Duplicative search," Games and Economic Behavior, Elsevier, vol. 99(C), pages 1-22.
    13. repec:fsu:wpaper:wp2014_09_02 is not listed on IDEAS
    14. Brueggemann, Julia & Meub, Lukas, 2015. "Experimental evidence on the effects of innovation contests," University of Göttingen Working Papers in Economics 251, University of Goettingen, Department of Economics.
    15. Helmut Dietl & Egon Franck & Martin Grossmann & Markus Lang, 2009. "Contest Theory and its Applications in Sports," Working Papers 0029, University of Zurich, Center for Research in Sports Administration (CRSA).
    16. Brookins, Philip & Matros, Alexander & Tzachrista, Foteini, 2025. "Sequential contests with incomplete information: Theory and experimental evidence," Journal of Economic Behavior & Organization, Elsevier, vol. 229(C).
    17. Subhashish Modak Chowdhury & Roman M. Sheremeta, 2009. "The equivalence of contests," Working Paper series, University of East Anglia, Centre for Behavioural and Experimental Social Science (CBESS) 09-06, School of Economics, University of East Anglia, Norwich, UK..
    18. Konrad, Kai A., 2014. "Search duplication in research and design spaces — Exploring the role of local competition," International Journal of Industrial Organization, Elsevier, vol. 37(C), pages 222-228.
    19. Letina, Igor & Liu, Shuo & Netzer, Nick, 2023. "Optimal contest design: Tuning the heat," Journal of Economic Theory, Elsevier, vol. 213(C).
    20. Sakshi Gupta & Ram Singh, 2018. "On Existence and Properties of Pure-strategy Equilibria under Contests," Working papers 288, Centre for Development Economics, Delhi School of Economics.
    21. Cary Deck & Erik O. Kimbrough, 2017. "Experimenting with Contests for Experimentation," Southern Economic Journal, John Wiley & Sons, vol. 84(2), pages 391-406, October.

    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • M52 - Business Administration and Business Economics; Marketing; Accounting; Personnel Economics - - Personnel Economics - - - Compensation and Compensation Methods and Their Effects

    NEP fields

    This paper has been announced in the following NEP Reports:

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:2311.08532. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.