[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/p/ces/ceswps/_6274.html
   My bibliography  Save this paper

Optimal Favoritism in All-Pay Auctions and Lottery Contests

Author

Listed:
  • Jörg Franke
  • Wolfgang Leininger
  • Cédric Wasser
Abstract
We analyze the revenue-enhancing potential of favoring specific contestants in complete information all-pay auctions and lottery contests with several heterogeneous contestants. Two instruments of favoritism are considered: Head starts that are added to the bids of specific contestants and multiplicative biases that give idiosyncratic weights to the bids. In the all-pay auction, head starts are more effective than biases while optimally combining both instruments even yields first-best revenue. In the lottery contest, head starts are less effective than biases and combining both instruments cannot further increase revenue. As all-pay auctions revenue-dominate lottery contests under optimal biases, we thus obtain an unambiguous revenue-ranking of all six combinations of contest formats and instruments.

Suggested Citation

  • Jörg Franke & Wolfgang Leininger & Cédric Wasser, 2016. "Optimal Favoritism in All-Pay Auctions and Lottery Contests," CESifo Working Paper Series 6274, CESifo.
    • Handle: RePEc:ces:ceswps:_6274
    as

    Download full text from publisher

    File URL: https://www.cesifo.org/DocDL/cesifo1_wp6274.pdf
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Ella Segev & Aner Sela, 2014. "Sequential all-pay auctions with head starts," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(4), pages 893-923, December.
    2. Richard Cornes & Roger Hartley, 2005. "Asymmetric contests with general technologies," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 26(4), pages 923-946, November.
    3. J. Amegashie, 2006. "A contest success function with a tractable noise parameter," Public Choice, Springer, vol. 126(1), pages 135-144, January.
    4. Epstein, Gil S. & Mealem, Yosef & Nitzan, Shmuel, 2011. "Political culture and discrimination in contests," Journal of Public Economics, Elsevier, vol. 95(1), pages 88-93.
    5. Konrad, Kai A., 2009. "Strategy and Dynamics in Contests," OUP Catalogue, Oxford University Press, number 9780199549603.
    6. Arye L. Hillman & John G. Riley, 1989. "Politically Contestable Rents And Transfers," Economics and Politics, Wiley Blackwell, vol. 1(1), pages 17-39, March.
    7. 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.
    8. Drugov, Mikhail & Ryvkin, Dmitry, 2017. "Biased contests for symmetric players," Games and Economic Behavior, Elsevier, vol. 103(C), pages 116-144.
    9. Seel, Christian & Wasser, Cédric, 2014. "On optimal head starts in all-pay auctions," Economics Letters, Elsevier, vol. 124(2), pages 211-214.
    10. Michael R. Baye & Dan Kovenock & Casper G. Vries, 2008. "Rigging the lobbying process: An application of the all-pay auction," Springer Books, in: Roger D. Congleton & Kai A. Konrad & Arye L. Hillman (ed.), 40 Years of Research on Rent Seeking 2, pages 331-336, Springer.
    11. Marion, Justin, 2007. "Are bid preferences benign? The effect of small business subsidies in highway procurement auctions," Journal of Public Economics, Elsevier, vol. 91(7-8), pages 1591-1624, August.
    12. Segev, Ella & Sela, Aner, 2014. "Sequential all-pay auctions with noisy outputs," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 251-261.
    13. Fang, Hanming, 2002. "Lottery versus All-Pay Auction Models of Lobbying," Public Choice, Springer, vol. 112(3-4), pages 351-371, September.
    14. Franke, Jörg & Kanzow, Christian & Leininger, Wolfgang & Schwartz, Alexandra, 2014. "Lottery versus all-pay auction contests: A revenue dominance theorem," Games and Economic Behavior, Elsevier, vol. 83(C), pages 116-126.
    15. Michael R. Baye & Dan Kovenock & Casper G. Vries, 1996. "The all-pay auction with complete information," Springer Books, in: Roger D. Congleton & Arye L. Hillman & Kai A. Konrad (ed.), 40 Years of Research on Rent Seeking 1, pages 209-223, Springer.
    16. Li, Sanxi & Yu, Jun, 2012. "Contests with endogenous discrimination," Economics Letters, Elsevier, vol. 117(3), pages 834-836.
    17. Cédric Wasser, 2013. "Incomplete information in rent-seeking contests," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 53(1), pages 239-268, May.
    18. Jia, Hao & Skaperdas, Stergios & Vaidya, Samarth, 2013. "Contest functions: Theoretical foundations and issues in estimation," International Journal of Industrial Organization, Elsevier, vol. 31(3), pages 211-222.
    19. 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.
    20. Kirkegaard, René, 2013. "Handicaps in incomplete information all-pay auctions with a diverse set of bidders," European Economic Review, Elsevier, vol. 64(C), pages 98-110.
    21. Jörg Franke & Christian Kanzow & Wolfgang Leininger & Alexandra Schwartz, 2013. "Effort maximization in asymmetric contest games with heterogeneous contestants," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(2), pages 589-630, March.
    22. Lorens Imhof & Matthias Kräkel, 2016. "Ex post unbalanced tournaments," RAND Journal of Economics, RAND Corporation, vol. 47(1), pages 73-98, February.
    23. Franke, Jörg, 2012. "Affirmative action in contest games," European Journal of Political Economy, Elsevier, vol. 28(1), pages 105-118.
    24. Calsamiglia, Caterina & Franke, Jörg & Rey-Biel, Pedro, 2013. "The incentive effects of affirmative action in a real-effort tournament," Journal of Public Economics, Elsevier, vol. 98(C), pages 15-31.
    25. Dasgupta, Ani & Nti, Kofi O., 1998. "Designing an optimal contest," European Journal of Political Economy, Elsevier, vol. 14(4), pages 587-603, November.
    26. Muriel Niederle & Carmit Segal & Lise Vesterlund, 2013. "How Costly Is Diversity? Affirmative Action in Light of Gender Differences in Competitiveness," Management Science, INFORMS, vol. 59(1), pages 1-16, May.
    27. Ghazala Azmat & Marc Möller, 2009. "Competition among contests," RAND Journal of Economics, RAND Corporation, vol. 40(4), pages 743-768, December.
    28. Qiang Fu, 2006. "A Theory of Affirmative Action in College Admissions," Economic Inquiry, Western Economic Association International, vol. 44(3), pages 420-428, July.
    29. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    30. 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.
    31. Elena Krasnokutskaya & Katja Seim, 2011. "Bid Preference Programs and Participation in Highway Procurement Auctions," American Economic Review, American Economic Association, vol. 101(6), pages 2653-2686, October.
    32. Alcalde, José & Dahm, Matthias, 2010. "Rent seeking and rent dissipation: A neutrality result," Journal of Public Economics, Elsevier, vol. 94(1-2), pages 1-7, February.
    33. Thomas J. Espenshade & Chang Y. Chung & Joan L. Walling, 2004. "Admission Preferences for Minority Students, Athletes, and Legacies at Elite Universities," Social Science Quarterly, Southwestern Social Science Association, vol. 85(5), pages 1422-1446, December.
    34. Nti, Kofi O., 2004. "Maximum efforts in contests with asymmetric valuations," European Journal of Political Economy, Elsevier, vol. 20(4), pages 1059-1066, November.
    35. Hwang, Sung-Ha, 2012. "Technology of military conflict, military spending, and war," Journal of Public Economics, Elsevier, vol. 96(1), pages 226-236.
    36. Kirkegaard, René, 2012. "Favoritism in asymmetric contests: Head starts and handicaps," Games and Economic Behavior, Elsevier, vol. 76(1), pages 226-248.
    37. David Pérez‐Castrillo & David Wettstein, 2016. "Discrimination In A Model Of Contests With Incomplete Information About Ability," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 57, pages 881-914, August.
    38. Matros, Alexander & Possajennikov, Alex, 2016. "Tullock contests may be revenue superior to auctions in a symmetric setting," Economics Letters, Elsevier, vol. 142(C), pages 74-77.
    39. Kawamura, Kohei & Moreno de Barreda, Inés, 2014. "Biasing selection contests with ex-ante identical agents," Economics Letters, Elsevier, vol. 123(2), pages 240-243.
    40. 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.
    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. 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.
    2. Kawamori, Tomohiko, 2023. "Complete-rent-dissipation contest design," Economics Letters, Elsevier, vol. 232(C).
    3. Dahm, Matthias & Esteve-González, Patricia, 2018. "Affirmative action through extra prizes," Journal of Economic Behavior & Organization, Elsevier, vol. 153(C), pages 123-142.
    4. Franke, Jörg & Leininger, Wolfgang & Wasser, Cédric, 2014. "Revenue Maximizing Head Starts in Contests," Ruhr Economic Papers 524, RWI - Leibniz-Institut für Wirtschaftsforschung, Ruhr-University Bochum, TU Dortmund University, University of Duisburg-Essen.
    5. Yosef Mealem & Shmuel Nitzan, 2014. "Equity and effectiveness of optimal taxation in contests under an all-pay auction," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 42(2), pages 437-464, February.
    6. repec:zbw:rwirep:0524 is not listed on IDEAS
    7. Jörg Franke & Wolfgang Leininger & Cédric Wasser, 2014. "Revenue Maximizing Head Starts in Contests," Ruhr Economic Papers 0524, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
    8. Franke, Jörg & Kanzow, Christian & Leininger, Wolfgang & Schwartz, Alexandra, 2014. "Lottery versus all-pay auction contests: A revenue dominance theorem," Games and Economic Behavior, Elsevier, vol. 83(C), pages 116-126.
    9. Zhu, Feng, 2021. "On optimal favoritism in all-pay contests," Journal of Mathematical Economics, Elsevier, vol. 95(C).
    10. Tomohiko Kawamori, 2020. "Extractive contest design," Papers 2006.01808, arXiv.org, revised Jul 2022.
    11. Fu, Qiang & Wu, Zenan, 2020. "On the optimal design of biased contests," Theoretical Economics, Econometric Society, vol. 15(4), November.
    12. Barbieri, Stefano & Serena, Marco, 2022. "Biasing dynamic contests between ex-ante symmetric players," Games and Economic Behavior, Elsevier, vol. 136(C), pages 1-30.
    13. Drugov, Mikhail & Ryvkin, Dmitry, 2017. "Biased contests for symmetric players," Games and Economic Behavior, Elsevier, vol. 103(C), pages 116-144.
    14. Clark, Derek J. & Nilssen, Tore, 2018. "Beating the Matthew Effect: Head Starts and Catching Up in a Dynamic All-Pay Auction," Memorandum 2/2018, Oslo University, Department of Economics.
    15. Ewerhart, Christian, 2017. "Contests with small noise and the robustness of the all-pay auction," Games and Economic Behavior, Elsevier, vol. 105(C), pages 195-211.
    16. Lu, Jingfeng & Wang, Zhewei & Zhou, Lixue, 2022. "Optimal favoritism in contests with identity-contingent prizes," Journal of Economic Behavior & Organization, Elsevier, vol. 196(C), pages 40-50.
    17. Gil Epstein & Yosef Mealem, 2015. "Politicians, governed versus non-governed interest groups and rent dissipation," Theory and Decision, Springer, vol. 79(1), pages 133-149, July.
    18. Yosef Mealem & Shmuel Nitzan, 2012. "Differential Prize Taxation and Structural Discrimination in Contests," CESifo Working Paper Series 3831, CESifo.
    19. J. Atsu Amegashie, 2012. "A Nested Contest: Tullock Meets the All-pay Auction," CESifo Working Paper Series 3976, CESifo.
    20. 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.
    21. Sérgio O. Parreiras & Anna Rubinchik, 2020. "Ex ante heterogeneity in all-pay many-player auctions with Pareto distribution of costs," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 765-783, October.

    More about this item

    Keywords

    all-pay auction; lottery contest; favoritism; head start; revenue dominance;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior

    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:ces:ceswps:_6274. 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: Klaus Wohlrabe (email available below). General contact details of provider: https://edirc.repec.org/data/cesifde.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.