IDEAS home Printed from https://ideas.repec.org/p/lmu/muenar/22095.html
   My bibliography  Save this paper

Contests with multi-tasking

Author

Listed:
  • Clark, Derek J.
  • Konrad, Kai A.

Abstract

The standard contest model in which participants compete in a single dimension is well understood and documented. Multi-dimension extensions are possible but are liable to increase the complexity of the contest structure, mitigating one of its main advantages: simplicity. In this paper we propose an extension in which competition ensues in several dimensions, and a competitor that wins a certain number of these is awarded a prize. The amount of information needed to run the contest is hence limited to the number of dimensions won by each player. We look at the design of this contest from the point of view of maximising effort in the contest (per dimension and totally), and show that there will be a tendency to run small contests with few dimensions. The standard Tullock model and its results are encompassed by our framework. © The editors of the Scandinavian Journal of Economics 2007.

Suggested Citation

  • Clark, Derek J. & Konrad, Kai A., 2007. "Contests with multi-tasking," Munich Reprints in Economics 22095, University of Munich, Department of Economics.
  • Handle: RePEc:lmu:muenar:22095
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Lazear, Edward P & Rosen, Sherwin, 1981. "Rank-Order Tournaments as Optimum Labor Contracts," Journal of Political Economy, University of Chicago Press, vol. 89(5), pages 841-864, October.
    2. 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.
    3. Krakel, Matthias, 2003. "U-type versus J-type tournaments as alternative solutions to the unverifiability problem," Labour Economics, Elsevier, vol. 10(3), pages 359-380, June.
    4. Laurent Franckx & Isabelle Brose & Alessio DAmato, 2004. "Multitask Rank Order Tournaments," Economics Bulletin, AccessEcon, vol. 10(10), pages 1-10.
    5. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2005. "Comparative Analysis of Litigation Systems: An Auction-Theoretic Approach," Economic Journal, Royal Economic Society, vol. 115(505), pages 583-601, July.
    6. Christopher Budd & Christopher Harris & John Vickers, 1993. "A Model of the Evolution of Duopoly: Does the Asymmetry between Firms Tend to Increase or Decrease?," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 543-573.
    7. Yeon-Koo Che & Ian L. Gale, 2008. "Caps on Political Lobbying," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 337-345, Springer.
    8. Kräkel, Matthias, 2004. "Tournaments versus Piece Rates under Limited Liability," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 15, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
    9. Roger D. Congleton, 1984. "Commitees and rent-seeking effort," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 279-291, Springer.
    10. Skaperdas, Stergios, 1992. "Cooperation, Conflict, and Power in the Absence of Property Rights," American Economic Review, American Economic Association, vol. 82(4), pages 720-739, September.
    11. repec:ebl:ecbull:v:10:y:2004:i:10:p:1-10 is not listed on IDEAS
    12. 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.
    13. Konrad, Kai A. & Kovenock, Dan, 2005. "Equilibrium and Efficiency in the Tug-Of-War," Purdue University Economics Working Papers 1177, Purdue University, Department of Economics.
    14. Skaperdas, Stergios & Grofman, Bernard, 1995. "Modeling Negative Campaigning," American Political Science Review, Cambridge University Press, vol. 89(1), pages 49-61, March.
    15. Charles Rowley & Anne Rathbone, 2013. "The political economy of antitrust," Chapters, in: Manfred Neumann & Jürgen Weigand (ed.), The International Handbook of Competition – Second Edition, chapter 6, pages 169-206, Edward Elgar Publishing.
    16. Farmer, Amy & Pecorino, Paul, 1999. "Legal Expenditure as a Rent-Seeking Game," Public Choice, Springer, vol. 100(3-4), pages 271-288, September.
    17. Gil Epstein & Shmuel Nitzan, 2006. "The Politics of Randomness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(2), pages 423-433, October.
    18. 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.
    19. Moldovanu, Benny & Sela, Aner, 2006. "Contest architecture," Journal of Economic Theory, Elsevier, vol. 126(1), pages 70-96, January.
    20. Holmstrom, Bengt & Milgrom, Paul, 1991. "Multitask Principal-Agent Analyses: Incentive Contracts, Asset Ownership, and Job Design," The Journal of Law, Economics, and Organization, Oxford University Press, vol. 7(0), pages 24-52, Special I.
    21. Kyung H. Baik & Jason F. Shogren, 2008. "Strategic Behavior in Contests: Comment," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 439-442, Springer.
    22. 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.
    23. Christopher Harris & John Vickers, 1987. "Racing with Uncertainty," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 54(1), pages 1-21.
    24. Clark, Derek J & Riis, Christian, 1998. "Competition over More Than One Prize," American Economic Review, American Economic Association, vol. 88(1), pages 276-289, March.
    25. Epstein, Gil S. & Nitzan, Shmuel, 2004. "Strategic restraint in contests," European Economic Review, Elsevier, vol. 48(1), pages 201-210, February.
    26. Amegashie, J Atsu, 2002. "Committees and Rent-Seeking Effort under Probabilistic Voting," Public Choice, Springer, vol. 112(3-4), pages 345-350, September.
    27. Stergios Skaperdas, 1996. "Contest success functions (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 7(2), pages 283-290.
    28. Snyder, James M, 1989. "Election Goals and the Allocation of Campaign Resources," Econometrica, Econometric Society, vol. 57(3), pages 637-660, May.
    29. Christopher Harris & John Vickers, 1985. "Perfect Equilibrium in a Model of a Race," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 193-209.
    30. Nitzan, Shmuel, 1994. "Modelling rent-seeking contests," European Journal of Political Economy, Elsevier, vol. 10(1), pages 41-60, May.
    31. 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.
    32. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Czerny, Achim I. & Fosgerau, Mogens & Jost, Peter-J. & van Ommeren, Jos N., 2019. "Why pay for jobs (and not for tasks)?," Journal of Economic Behavior & Organization, Elsevier, vol. 168(C), pages 419-433.
    2. Kjell Hausken, 2023. "Two-period Colonel Blotto contest with cumulative investments over variable assets with resource constraints," SN Business & Economics, Springer, vol. 3(11), pages 1-18, November.
    3. João Ricardo Faria & Franklin G. Mixon, Jr. & Steven B. Caudill & Samantha J. Wineke, 2014. "Two-Dimensional Effort in Patent-Race Games and Rent-Seeking Contests: The Case of Telephony," Games, MDPI, vol. 5(2), pages 1-11, May.
    4. Bos, O & P. Schweinzer, 2012. "Risk pooling in redistributive agreements," Discussion Papers 12/17, Department of Economics, University of York.
    5. J. Atsu Amegashie, 2009. "American Idol: should it be a singing contest or a popularity contest?," Journal of Cultural Economics, Springer;The Association for Cultural Economics International, vol. 33(4), pages 265-277, November.
    6. Klein, Arnd Heinrich & Schmutzler, Armin, 2017. "Optimal effort incentives in dynamic tournaments," Games and Economic Behavior, Elsevier, vol. 103(C), pages 199-224.
    7. Deck, Cary & Sarangi, Sudipta & Wiser, Matt, 2017. "An experimental investigation of simultaneous multi-battle contests with strategic complementarities," Journal of Economic Psychology, Elsevier, vol. 63(C), pages 117-134.
    8. Peter-J. Jost, 2021. "“The ball is round, the game lasts 90 minutes, everything else is pure theoryâ€," Journal of Sports Economics, , vol. 22(1), pages 27-74, January.
    9. Qiang Fu & Ganesh Iyer, 2019. "Multimarket Value Creation and Competition," Marketing Science, INFORMS, vol. 38(1), pages 129-149, January.
    10. Chen Cohen & Ishay Rabi & Aner Sela, 2022. "Assortative Matching by Lottery Contests," Games, MDPI, vol. 13(5), pages 1-20, September.
    11. Maria Arbatskaya & Hugo M. Mialon, 2012. "Dynamic Multi‐Activity Contests," Scandinavian Journal of Economics, Wiley Blackwell, vol. 114(2), pages 520-538, June.
    12. Aner Sela, 2022. "Ineffective Prizes In Multi-Dimensional Contests," Working Papers 2205, Ben-Gurion University of the Negev, Department of Economics.
    13. Lehmann, Stefanie Aniela, 2008. "When Randomization in Collective Tournaments is Profitable for the Principal," Bonn Econ Discussion Papers 19/2008, University of Bonn, Bonn Graduate School of Economics (BGSE).
    14. Kjell Hausken, 2020. "Additive multi-effort contests," Theory and Decision, Springer, vol. 89(2), pages 203-248, September.
    15. Pelosse, Yohan, 2011. "Equivalence of optimal noisy-ranking contests and Tullock contests," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 740-748.
    16. Kjell Hausken, 2021. "Axiomatizing additive multi-effort contests," SN Business & Economics, Springer, vol. 1(11), pages 1-12, November.
    17. Simiao Li, 2013. "Tullock contests under committee administration," Economics Bulletin, AccessEcon, vol. 33(3), pages 1983-1990.
    18. Johan N. M. Lagerlöf, 2020. "Hybrid All-Pay and Winner-Pay Contests," American Economic Journal: Microeconomics, American Economic Association, vol. 12(4), pages 144-169, November.
    19. Franke, Jörg & Öztürk, Tahir, 2015. "Conflict networks," Journal of Public Economics, Elsevier, vol. 126(C), pages 104-113.
      • Franke, Jörg & Öztürk, Tahir, 2009. "Conflict Networks," Ruhr Economic Papers 116, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    20. Aner Sela, 2024. "Intermediate prizes in multi-dimensional contests," Theory and Decision, Springer, vol. 97(4), pages 721-743, December.
    21. Deck, Cary & Hao, Li & Porter, David, 2015. "Do prediction markets aid defenders in a weak-link contest?," Journal of Economic Behavior & Organization, Elsevier, vol. 117(C), pages 248-258.
    22. Music, Kasim & Salzmann, Christian, 2020. "Why biased agencies could be the best monitors," European Journal of Political Economy, Elsevier, vol. 63(C).

    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. Konrad, Kai A., 2007. "Strategy in contests: an introduction [Strategie in Turnieren – eine Einführung]," Discussion Papers, Research Unit: Market Processes and Governance SP II 2007-01, WZB Berlin Social Science Center.
    2. Subhasish M. Chowdhury & Patricia Esteve‐González & Anwesha Mukherjee, 2023. "Heterogeneity, leveling the playing field, and affirmative action in contests," Southern Economic Journal, John Wiley & Sons, vol. 89(3), pages 924-974, January.
    3. Konrad, Kai A. & Kovenock, Dan, 2009. "Multi-battle contests," Games and Economic Behavior, Elsevier, vol. 66(1), pages 256-274, May.
    4. Sheremeta, Roman, 2009. "Essays on Experimental Investigation of Lottery Contests," MPRA Paper 49888, University Library of Munich, Germany.
    5. 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.
    6. Häfner, Samuel, 2017. "A tug-of-war team contest," Games and Economic Behavior, Elsevier, vol. 104(C), pages 372-391.
    7. Barbieri, Stefano & Serena, Marco, 2022. "Biasing dynamic contests between ex-ante symmetric players," Games and Economic Behavior, Elsevier, vol. 136(C), pages 1-30.
    8. Martin Grossmann, 2011. "Endogenous Liquidity Constraints in a Dynamic Contest," Working Papers 0148, University of Zurich, Institute for Strategy and Business Economics (ISU).
    9. Kimbrough, Erik O. & Laughren, Kevin & Sheremeta, Roman, 2020. "War and conflict in economics: Theories, applications, and recent trends," Journal of Economic Behavior & Organization, Elsevier, vol. 178(C), pages 998-1013.
    10. Sela, Aner, 2011. "Best-of-three all-pay auctions," Economics Letters, Elsevier, vol. 112(1), pages 67-70, July.
    11. 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.
    12. Gil S. Epstein & Yosef Mealem & Shmuel Nitzan, 2013. "Lotteries vs. All-Pay Auctions in Fair and Biased Contests," Economics and Politics, Wiley Blackwell, vol. 25(1), pages 48-60, March.
    13. Denter, Philipp & Sisak, Dana, 2015. "Do polls create momentum in political competition?," Journal of Public Economics, Elsevier, vol. 130(C), pages 1-14.
    14. Markus LANG & Alexander RATHKE & Marco RUNKEL, 2010. "The Economic Consequences Of Foreigner Rules In National Sports Leagues," Region et Developpement, Region et Developpement, LEAD, Universite du Sud - Toulon Var, vol. 31, pages 47-64.
    15. Aner Sela, 2016. "Two Stage Contests With Effort-Dependent Rewards," Working Papers 1612, Ben-Gurion University of the Negev, Department of Economics.
    16. 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).
    17. Morgan, John & Vardy, Felix, 2007. "The value of commitment in contests and tournaments when observation is costly," Games and Economic Behavior, Elsevier, vol. 60(2), pages 326-338, August.
    18. Sandra Ludwig, 2012. "Contests—a comparison of timing and information structures," Public Choice, Springer, vol. 153(3), pages 341-355, December.
    19. Dahm, Matthias & Esteve-González, Patricia, 2018. "Affirmative action through extra prizes," Journal of Economic Behavior & Organization, Elsevier, vol. 153(C), pages 123-142.
    20. Lian Jian & Zheng Li & Tracy Xiao Liu, 2017. "Simultaneous versus sequential all-pay auctions: an experimental study," Experimental Economics, Springer;Economic Science Association, vol. 20(3), pages 648-669, September.

    More about this item

    Keywords

    competition (economics); design; modeling;
    All these keywords.

    JEL classification:

    • D30 - Microeconomics - - Distribution - - - General

    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:lmu:muenar:22095. 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: Tamilla Benkelberg (email available below). General contact details of provider: https://edirc.repec.org/data/vfmunde.html .

    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.