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The Role of Budget Contraints in Sequential Elimination Tournaments

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  • Malin Arve
  • Olga Chiappinelli

Abstract

Motivated by the EU concept of Pre-Commercial Procurement and the massivepresence of SMEs in the European economy, we study how budget constraints affect R&D effort in sequential elimination tournaments. We show that introducingbudget constraints leads to a non-monotonicity in unconstrained contestants' effort.Furthermore, we show that if the budget asymmetry is not too large, unconstrainedcontestants exert higher effort than when faced with unconstrained contestants only.

Suggested Citation

  • Malin Arve & Olga Chiappinelli, 2018. "The Role of Budget Contraints in Sequential Elimination Tournaments," Discussion Papers of DIW Berlin 1777, DIW Berlin, German Institute for Economic Research.
    • Handle: RePEc:diw:diwwpp:dp1777
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    1. Konrad, Kai A. & Kovenock, Dan, 2009. "The alliance formation puzzle and capacity constraints," Economics Letters, Elsevier, vol. 103(2), pages 84-86, May.
    2. Yeon-Koo Che & Elisabetta Iossa & Patrick Rey, 2021. "Prizes versus Contracts as Incentives for Innovation [Subgame Perfect Implementation Under Information Perturbations]," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(5), pages 2149-2178.
    3. Alexander Matros, 2006. "Elimination Tournaments where Players Have Fixed Resources," Working Paper 205, Department of Economics, University of Pittsburgh, revised Jan 2006.
    4. J. Amegashie, 2006. "A contest success function with a tractable noise parameter," Public Choice, Springer, vol. 126(1), pages 135-144, January.
    5. Shumei Hirai & Ferenc Szidarovszky, 2013. "Existence And Uniqueness Of Equilibrium In Asymmetric Contests With Endogenous Prizes," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 1-9.
    6. Arve, Malin, 2014. "Procurement and predation: Dynamic sourcing from financially constrained suppliers," Journal of Public Economics, Elsevier, vol. 120(C), pages 157-168.
    7. Qiang Fu & Jingfeng Lu, 2012. "Micro foundations of multi-prize lottery contests: a perspective of noisy performance ranking," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 497-517, March.
    8. Noam Cohen & Guy Maor & Aner Sela, 2018. "Two-stage elimination contests with optimal head starts," Review of Economic Design, Springer;Society for Economic Design, vol. 22(3), pages 177-192, December.
    9. Drugov, Mikhail & Ryvkin, Dmitry, 2017. "Biased contests for symmetric players," Games and Economic Behavior, Elsevier, vol. 103(C), pages 116-144.
    10. Reut Megidish & Aner Sela, 2014. "Sequential contests with synergy and budget constraints," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(1), pages 215-243, January.
    11. Dan Kovenock & Brian Roberson, 2009. "Is the 50-State Strategy Optimal?," Journal of Theoretical Politics, , vol. 21(2), pages 213-236, April.
    12. Denter, Philipp & Sisak, Dana, 2016. "Head starts in dynamic tournaments?," Economics Letters, Elsevier, vol. 149(C), pages 94-97.
    13. Seel, Christian & Wasser, Cédric, 2014. "On optimal head starts in all-pay auctions," Economics Letters, Elsevier, vol. 124(2), pages 211-214.
    14. Klein, Arnd Heinrich & Schmutzler, Armin, 2017. "Optimal effort incentives in dynamic tournaments," Games and Economic Behavior, Elsevier, vol. 103(C), pages 199-224.
    15. Clark, Derek J & Riis, Christian, 1996. "A Multi-winner Nested Rent-Seeking Contest," Public Choice, Springer, vol. 87(1-2), pages 177-184, April.
    16. Klumpp, Tilman & Polborn, Mattias K., 2006. "Primaries and the New Hampshire Effect," Journal of Public Economics, Elsevier, vol. 90(6-7), pages 1073-1114, August.
    17. Konrad, Kai A., 2002. "Investment in the absence of property rights; the role of incumbency advantages," European Economic Review, Elsevier, vol. 46(8), pages 1521-1537, September.
    18. Stefano Barbieri & Marco Serena, 2018. "Biasing Unbiased Dynamic Contests," Working Papers tax-mpg-rps-2018-06, Max Planck Institute for Tax Law and Public Finance.
    19. Clark, Derek J. & Nilssen, Tore & Sand, Jan Yngve, 2012. "Motivating over Time: Dynamic Win Effects in Sequential Contests," Memorandum 28/2012, Oslo University, Department of Economics.
    20. Szidarovszky, Ferenc & Okuguchi, Koji, 1997. "On the Existence and Uniqueness of Pure Nash Equilibrium in Rent-Seeking Games," Games and Economic Behavior, Elsevier, vol. 18(1), pages 135-140, January.
    21. Rick Harbaugh & Tilman Klumpp, 2005. "Early Round Upsets and Championship Blowouts," Economic Inquiry, Western Economic Association International, vol. 43(2), pages 316-329, April.
    22. Mark Gradstein & Kai A. Konrad, 1999. "Orchestrating Rent Seeking Contests," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 571-580, Springer.
    23. J. Atsu Amegashie, 2005. "Asymmetry And Collusion In Infinitely Repeated Contests," Working Papers 0509, University of Guelph, Department of Economics and Finance.
    24. Dasgupta, Ani & Nti, Kofi O., 1998. "Designing an optimal contest," European Journal of Political Economy, Elsevier, vol. 14(4), pages 587-603, November.
    25. Amegashie, J Atsu, 1999. "The Design of Rent-Seeking Competitions: Committees, Preliminary and Final Contests," Public Choice, Springer, vol. 99(1-2), pages 63-76, April.
    26. Gradstein, Mark, 1998. "Optimal contest design: volume and timing of rent seeking in contests," European Journal of Political Economy, Elsevier, vol. 14(4), pages 575-585, November.
    27. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2018. "Optimal favoritism in all-pay auctions and lottery contests," European Economic Review, Elsevier, vol. 104(C), pages 22-37.
    28. Aner Sela & Eyal Erez, 2013. "Dynamic contests with resource constraints," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 41(4), pages 863-882, October.
    29. Rosen, Sherwin, 1986. "Prizes and Incentives in Elimination Tournaments," American Economic Review, American Economic Association, vol. 76(4), pages 701-715, September.
    30. Martin Grossmann & Helmut Dietl, 2012. "Asymmetric contests with liquidity constraints," Public Choice, Springer, vol. 150(3), pages 691-713, March.
    31. William Stein & Amnon Rapoport, 2005. "Symmetric two-stage contests with budget constraints," Public Choice, Springer, vol. 124(3), pages 309-328, September.
    32. Szymanski, Stefan & Valletti, Tommaso M., 2005. "Incentive effects of second prizes," European Journal of Political Economy, Elsevier, vol. 21(2), pages 467-481, June.
    33. Derek Clark & Tore Nilssen, 2013. "Learning by doing in contests," Public Choice, Springer, vol. 156(1), pages 329-343, July.
    34. Gagan Ghosh & Steven Stong, 2018. "Strategic budgets in sequential elimination contests," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 20(4), pages 499-524, August.
    35. Kirkegaard, René, 2012. "Favoritism in asymmetric contests: Head starts and handicaps," Games and Economic Behavior, Elsevier, vol. 76(1), pages 226-248.
    36. Clark, Derek J. & Nilssen, Tore, 2018. "Keep on fighting: The dynamics of head starts in all-pay auctions," Games and Economic Behavior, Elsevier, vol. 110(C), pages 258-272.
    37. Clark, Derek J. & Riis, Christian, 2000. "Allocation efficiency in a competitive bribery game," Journal of Economic Behavior & Organization, Elsevier, vol. 42(1), pages 109-124, May.
    38. Che, Yeon-Koo & Gale, Ian, 1997. "Rent Dissipation When Rent Seekers Are Budget Constrained," Public Choice, Springer, vol. 92(1-2), pages 109-126, July.
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    Cited by:

    1. Mendel, Moritz & Pieroth, Ferdinand & Seel, Christian, 2021. "Your failure is my opportunity—Effects of elimination in contests," Journal of Mathematical Economics, Elsevier, vol. 95(C).

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    More about this item

    Keywords

    Pre-commercial procurement; contests; budget constraints;
    All these keywords.

    JEL classification:

    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • H57 - Public Economics - - National Government Expenditures and Related Policies - - - Procurement

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