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A Simple Model of Competitive Testing

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  • Ginzburg, Boris

Abstract

A number of candidates are competing for a prize. Each candidate is privately informed about his type. The decision-maker who allocates the prize wants to give it to the candidate with the highest type. Each candidate can take a test that reveals his type at a cost. I show that an increase in competition increases information revelation when the cost is high, and reduces it when the cost is low. Nevertheless, the decision-maker always benefits from greater competition. Candidates can be better off if the cost is higher. Mandatory disclosure is Pareto-dominated by voluntary disclosure unless competition is low. Finally, when the test is noisier, candidates are more likely to take it.

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  • Ginzburg, Boris, 2019. "A Simple Model of Competitive Testing," MPRA Paper 99463, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:99463
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    1. 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.
    2. Elchanan Ben-Porath & Eddie Dekel & Barton L. Lipman, 2014. "Optimal Allocation with Costly Verification," American Economic Review, American Economic Association, vol. 104(12), pages 3779-3813, December.
    3. Benny Moldovanu & Aner Sela & Xianwen Shi, 2007. "Contests for Status," Journal of Political Economy, University of Chicago Press, vol. 115(2), pages 338-363.
    4. Xiaoyong Cao & Guofu Tan & Guoqiang Tian & Okan Yilankaya, 2018. "Equilibria in second-price auctions with private participation costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(2), pages 231-249, March.
    5. Boyan Jovanovic, 1982. "Truthful Disclosure of Information," Bell Journal of Economics, The RAND Corporation, vol. 13(1), pages 36-44, Spring.
    6. Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
    7. Liang Guo & Ying Zhao, 2009. "Voluntary Quality Disclosure and Market Interaction," Marketing Science, INFORMS, vol. 28(3), pages 488-501, 05-06.
    8. Bruce I. Carlin & Shaun William Davies & Andrew Iannaccone, 2012. "Competition, Comparative Performance, and Market Transparency," American Economic Journal: Microeconomics, American Economic Association, vol. 4(4), pages 202-237, November.
    9. Forand, Jean Guillaume, 2013. "Competing through information provision," International Journal of Industrial Organization, Elsevier, vol. 31(5), pages 438-451.
    10. David Dranove & Ginger Zhe Jin, 2010. "Quality Disclosure and Certification: Theory and Practice," Journal of Economic Literature, American Economic Association, vol. 48(4), pages 935-963, December.
    11. Maxim Ivanov, 2013. "Information revelation in competitive markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 337-365, January.
    12. Takeharu Sogo & Dan Bernhardt & Tingjun Liu, 2016. "Endogenous Entry to Security-Bid Auctions," American Economic Review, American Economic Association, vol. 106(11), pages 3577-3589, November.
    13. Diego Moreno & John Wooders, 2011. "Auctions with heterogeneous entry costs," RAND Journal of Economics, RAND Corporation, vol. 42(2), pages 313-336, June.
    14. Celik Gorkem & Yilankaya Okan, 2009. "Optimal Auctions with Simultaneous and Costly Participation," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 9(1), pages 1-33, July.
    15. Alós-Ferrer, Carlos & Prat, Julien, 2012. "Job market signaling and employer learning," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1787-1817.
    16. Rosar, Frank, 2017. "Test design under voluntary participation," Games and Economic Behavior, Elsevier, vol. 104(C), pages 632-655.
    17. repec:oup:restud:v:84:y::i:1:p:300-322. is not listed on IDEAS
    18. Kala Krishna & Sergey Lychagin & Wojciech Olszewski & Ron Siegel & Chloe Tergiman, 2022. "Pareto Improvements in the Contest for College Admissions," NBER Working Papers 30220, National Bureau of Economic Research, Inc.
    19. Liu, Bin & Lu, Jingfeng & Wang, Ruqu & Zhang, Jun, 2018. "Optimal prize allocation in contests: The role of negative prizes," Journal of Economic Theory, Elsevier, vol. 175(C), pages 291-317.
    20. Ron Siegel, 2014. "Asymmetric Contests with Head Starts and Nonmonotonic Costs," American Economic Journal: Microeconomics, American Economic Association, vol. 6(3), pages 59-105, August.
    21. Boris Ginzburg, 2021. "Optimal Price Of Entry Into A Competition," Economic Inquiry, Western Economic Association International, vol. 59(1), pages 280-286, January.
    22. Stivers Andrew E, 2004. "Unraveling of Information: Competition and Uncertainty," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 4(1), pages 1-18, December.
    23. Jingfeng Lu, 2009. "Auction design with opportunity cost," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 38(1), pages 73-103, January.
    24. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    25. Denter, Philipp & Sisak, Dana, 2016. "Head starts in dynamic tournaments?," Economics Letters, Elsevier, vol. 149(C), pages 94-97.
    26. Nick Feltovich & Richmond Harbaugh & Ted To, 2002. "Too Cool for School? Signalling and Countersignalling," RAND Journal of Economics, The RAND Corporation, vol. 33(4), pages 630-649, Winter.
    27. Cao, Xiaoyong & Tian, Guoqiang, 2010. "Equilibria in first price auctions with participation costs," Games and Economic Behavior, Elsevier, vol. 69(2), pages 258-273, July.
    28. McAfee, R. Preston & McMillan, John, 1987. "Auctions with entry," Economics Letters, Elsevier, vol. 23(4), pages 343-347.
    29. Insuk Cheong & Jeong‐Yoo Kim, 2004. "Costly Information Disclosure in Oligopoly," Journal of Industrial Economics, Wiley Blackwell, vol. 52(1), pages 121-132, March.
    30. Matthew Gentzkow & Emir Kamenica, 2017. "Competition in Persuasion," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(1), pages 300-322.
    31. Daley, Brendan & Green, Brett, 2014. "Market signaling with grades," Journal of Economic Theory, Elsevier, vol. 151(C), pages 114-145.
    32. Dan Levin & James Peck & Lixin Ye, 2009. "Quality Disclosure And Competition," Journal of Industrial Economics, Wiley Blackwell, vol. 57(1), pages 167-196, March.
    33. Stegeman, Mark, 1996. "Participation Costs and Efficient Auctions," Journal of Economic Theory, Elsevier, vol. 71(1), pages 228-259, October.
    34. Levin, Dan & Smith, James L, 1994. "Equilibrium in Auctions with Entry," American Economic Review, American Economic Association, vol. 84(3), pages 585-599, June.
    35. Luis C. Corchón & Marco Serena, 2018. "Contest theory," Chapters, in: Luis C. Corchón & Marco A. Marini (ed.), Handbook of Game Theory and Industrial Organization, Volume II, chapter 6, pages 125-146, Edward Elgar Publishing.
    36. Oliver Board, 2009. "Competition And Disclosure," Journal of Industrial Economics, Wiley Blackwell, vol. 57(1), pages 197-213, March.
    37. Michael Spence, 1973. "Job Market Signaling," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 87(3), pages 355-374.
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    Cited by:

    1. Boris Ginzburg, 2021. "Optimal Price Of Entry Into A Competition," Economic Inquiry, Western Economic Association International, vol. 59(1), pages 280-286, January.
    2. Aleksei Smirnov & Egor Starkov, 2019. "Timing of predictions in dynamic cheap talk: experts vs. quacks," ECON - Working Papers 334, Department of Economics - University of Zurich.

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    More about this item

    Keywords

    information disclosure; testing; competition;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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