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All-Pay Auctions with Negative Prize Externalities: Theory and Experimental Evidence

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  • Dario Sacco

    ()
    (Socioeconomic Institute, University of Zurich)

  • Armin Schmutzler

    ()
    (Socioeconomic Institute, University of Zurich)

Abstract

The paper characterizes the mixed-strategy equilibria in all-pay auctions with endogenous prizes that depend positively on own effort and negatively on the effort of competitors. Such auctions arise naturally in the context of investment games, lobbying games, and promotion tournaments. We also provide an experimental analysis of a special case which captures the strategic situation of a two-stage game with investment preceding homogenous Bertrand competition. We obtain overinvestment both relative to the mixed-strategy equilibrium and the social optimum.

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File URL: http://www.soi.uzh.ch/research/wp/2008/wp0806.pdf
File Function: first version, 2008
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Bibliographic Info

Paper provided by Socioeconomic Institute - University of Zurich in its series SOI - Working Papers with number 0806.

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Length: 34 pages
Date of creation: May 2008
Date of revision:
Handle: RePEc:soz:wpaper:0806

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Keywords: All-pay auctions; oligopoly; investment; experiment; overbidding;

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References

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  1. Gersbach, Hans & Schmutzler, Armin, 2006. "Foreign Direct Investment and R&D Offshoring," CEPR Discussion Papers 5766, C.E.P.R. Discussion Papers.
  2. Helga Fehr-Duda & Adrian Bruhin & Thomas Epper & Renate Schubert, 2010. "Rationality on the rise: Why relative risk aversion increases with stake size," Journal of Risk and Uncertainty, Springer, vol. 40(2), pages 147-180, April.
  3. Mahler, Philippe & Winkelmann, Rainer, 2004. "Single Motherhood and (Un)Equal Educational Opportunities: Evidence for Germany," IZA Discussion Papers 1391, Institute for the Study of Labor (IZA).
  4. Gärtner, Dennis L. & Schmutzler, Armin, 2009. "Merger negotiations and ex-post regret," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1636-1664, July.
  5. Stefan Boes & Rainer Winkelmann, 2006. "The Effect of Income on Positive and Negative Subjective Well-Being," SOI - Working Papers 0605, Socioeconomic Institute - University of Zurich.
  6. Armin Schmutzler, 2007. "The relation between competition and innovation – Why is it such a mess?," SOI - Working Papers 0716, Socioeconomic Institute - University of Zurich, revised Jan 2010.
  7. Daniel Halbheer & Ernst Fehr & Lorenz Goette & Armin Schmutzler, . "Self-Reinforcing Market Dominance," Working Papers 0094, University of Zurich, Institute for Strategy and Business Economics (ISU).
  8. Boes, Stefan & Lipp, Markus & Winkelmann, Rainer, 2007. "Money illusion under test," Economics Letters, Elsevier, vol. 94(3), pages 332-337, March.
  9. Stefan Boes, 2007. "Count Data Models with Unobserved Heterogeneity: An Empirical Likelihood Approach," SOI - Working Papers 0704, Socioeconomic Institute - University of Zurich.
  10. Lalive Rafael & Schmutzler Armin, 2008. "Entry in Liberalized Railway Markets: The German Experience," Review of Network Economics, De Gruyter, vol. 7(1), pages 1-16, March.
  11. Adrian Bruhin & Rainer Winkelmann, 2009. "Happiness functions with preference interdependence and heterogeneity: the case of altruism within the family," Journal of Population Economics, Springer, vol. 22(4), pages 1063-1080, October.
  12. Adrian Bruhin & Helga Fehr-Duda & Thomas Epper, 2007. "Risk and Rationality: Uncovering Heterogeneity in Probability Distortion," SOI - Working Papers 0705, Socioeconomic Institute - University of Zurich, revised Jul 2007.
  13. Schlapfer, Felix, 2008. "Contingent valuation: A new perspective," Ecological Economics, Elsevier, vol. 64(4), pages 729-740, February.
  14. Dario Sacco & Armin Schmutzler, 2008. "Competition and Innovation: An Experimental Investigation," SOI - Working Papers 0807, Socioeconomic Institute - University of Zurich.
  15. Fabian Waltert & Felix Schlaepfer, 2007. "The role of landscape amenities in regional development: a survey of migration, regional economic and hedonic pricing studies," SOI - Working Papers 0710, Socioeconomic Institute - University of Zurich.
  16. Adrian Bruhin, 2008. "Stochastic Expected Utility and Prospect Theory in a Horse Race: A Finite Mixture Approach," SOI - Working Papers 0803, Socioeconomic Institute - University of Zurich.
  17. Helga Fehr & Thomas Epper & Adrian Bruhin & Renate Schubert, 2007. "Risk and Rationality: The Effect of Incidental Mood on Probability Weighting," SOI - Working Papers 0703, Socioeconomic Institute - University of Zurich.
  18. Hans Gersbach & Armin Schmutzler, 2007. "Does Globalization Create Superstars?," SOI - Working Papers 0706, Socioeconomic Institute - University of Zurich.
  19. Lalive, Rafael & Schmutzler, Armin, 2008. "Exploring the effects of competition for railway markets," International Journal of Industrial Organization, Elsevier, vol. 26(2), pages 443-458, March.
  20. Baye, Michael R. & Hoppe, Heidrun C., 2003. "The strategic equivalence of rent-seeking, innovation, and patent-race games," Games and Economic Behavior, Elsevier, vol. 44(2), pages 217-226, August.
  21. Dennis Gaertner, 2007. "Why Bayes Rules: A Note on Bayesian vs. Classical Inference in Regime Switching Models," SOI - Working Papers 0719, Socioeconomic Institute - University of Zurich.
  22. Stefan Boes, 2007. "Nonparametric Analysis of Treatment Effects in Ordered Response Models," SOI - Working Papers 0709, Socioeconomic Institute - University of Zurich.
  23. Josef Falkinger, 2008. "Between Agora and Shopping Mall," SOI - Working Papers 0805, Socioeconomic Institute - University of Zurich.
  24. Stefan Boes & Kevin Staub & Rainer Winkelmann, 2007. "Hedonic Adaptation to Living Standards and the Hidden Cost of Parental Income," SOI - Working Papers 0713, Socioeconomic Institute - University of Zurich.
  25. Stefan Buehler & Christian Kaiser & Franz Jaeger, 2007. "On the Geographic and Cultural Determinants of Bankruptcy," SOI - Working Papers 0701, Socioeconomic Institute - University of Zurich, revised Jun 2007.
  26. Sandra Hanslin, 2008. "The effect of trade openness on optimal government size under endogenous firm entry," SOI - Working Papers 0802, Socioeconomic Institute - University of Zurich.
  27. Felix Schlaepfer, 2007. "An analysis of the Swiss vote on the use of genetically modified crops," SOI - Working Papers 0717, Socioeconomic Institute - University of Zurich.
  28. Hans Gersbach & Armin Schmutzler, 2006. "A Product-Market Theory of Industry-Specific Training," SOI - Working Papers 0610, Socioeconomic Institute - University of Zurich.
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Citations

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Cited by:
  1. Ilja Neustadt & Peter Zweifel, 2009. "Economic Well-Being, Social Mobility, and Preferences for Income Redistribution: Evidence from a Discrete Choice Experiment," SOI - Working Papers 0909, Socioeconomic Institute - University of Zurich, revised Jan 2010.
  2. HHironori Otsubo, 2012. "Contests with Incumbency Advantages: An Experiment Investigation of the Effect of Limits on Spending Behavior and Outcome," Jena Economic Research Papers 2012-020, Friedrich-Schiller-University Jena, Max-Planck-Institute of Economics.
  3. BOS, Olivier & RANGER, Martin, 2009. "All-pay auctions with endogenous rewards," CORE Discussion Papers 2009059, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Bos, Olivier & Ranger, Martin, 2013. "All-Pay Auctions with Polynomial Rewards," MPRA Paper 47587, University Library of Munich, Germany.
  5. Maurus Rischatsch, 2009. "Simulating WTP Values from Random-Coefficient Models," SOI - Working Papers 0912, Socioeconomic Institute - University of Zurich.
  6. Maurus Rischatsch & Maria Trottmann, 2009. "Physician dispensing and the choice between generic and brand-name drugs – Do margins affect choice?," SOI - Working Papers 0911, Socioeconomic Institute - University of Zurich.

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