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A Comment on David and Goliath: An Analysis on Asymmetric Mixed-Strategy Games and Experimental Evidence

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  • Dechenaux, Emmanuel
  • Kovenock, Dan
  • Lugovskyy, Volodymry

Abstract

In this note, we characterize the full set of Equilibria of the 2-firm patent race analyzed by Amaldoss and Jain (Management Science, 48(8), August 2002, pp. 972-991). Contrary to Amaldoss and Jain s (2002) claim, we show that the equilibrium is not always unique and that the set of Equilibria is non-robust to changes in the (discrete) set of available strategies. In some Equilibria, the qualitative results are the reverse of those in the only equilibrium Amaldoss and Jain identify. Our findings have important implications for the analysis of the data from Amaldoss and Jain s experiments, as well as other experiments appearing in the literature.

Suggested Citation

  • Dechenaux, Emmanuel & Kovenock, Dan & Lugovskyy, Volodymry, 2003. "A Comment on David and Goliath: An Analysis on Asymmetric Mixed-Strategy Games and Experimental Evidence ," Purdue University Economics Working Papers 1162, Purdue University, Department of Economics.
    • Handle: RePEc:pur:prukra:1162
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    1. Dechenaux, Emmanuel & Kovenock, Dan & Lugovskyy, Volodymyr, 2006. "Caps on bidding in all-pay auctions: Comments on the experiments of A. Rapoport and W. Amaldoss," Journal of Economic Behavior & Organization, Elsevier, vol. 61(2), pages 276-283, October.
    2. Baye, Michael R & Kovenock, Dan & de Vries, Casper G, 1994. "The Solution to the Tullock Rent-Seeking Game When R Is Greater Than 2: Mixed-Strategy Equilibria and Mean Dissipation Rates," Public Choice, Springer, vol. 81(3-4), pages 363-380, December.
    3. Dan Kovenock & Michael R. Baye & Casper G. de Vries, 1996. "The all-pay auction with complete information (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(2), pages 291-305.
    4. Baye, M.R. & Kovenock, D. & De Vries, C.G., 1993. "The Solution to the Tullock Rent-Seeking Game when R > 2: Mixed Strategy Equilibria and Mean Dissipation Rates," Papers 10-93-9, Pennsylvania State - Department of Economics.
    5. Rapoport, Amnon & Amaldoss, Wilfred, 2000. "Mixed strategies and iterative elimination of strongly dominated strategies: an experimental investigation of states of knowledge," Journal of Economic Behavior & Organization, Elsevier, vol. 42(4), pages 483-521, August.
    6. Che, Yeon-Koo & Gale, Ian L, 1998. "Caps on Political Lobbying," American Economic Review, American Economic Association, vol. 88(3), pages 643-651, June.
    7. Joseph E. Stiglitz & G. Frank Mathewson (ed.), 1986. "New Developments in the Analysis of Market Structure," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262690934, December.
    8. 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.
    9. Wilfred Amaldoss & Sanjay Jain, 2002. "David vs. Goliath: An Analysis of Asymmetric Mixed-Strategy Games and Experimental Evidence," Management Science, INFORMS, vol. 48(8), pages 972-991, August.
    10. Che, Yeon-Koo & Gale, Ian, 1996. "Expected revenue of all-pay auctions and first-price sealed-bid auctions with budget constraints," Economics Letters, Elsevier, vol. 50(3), pages 373-379, March.
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    1. Dechenaux, Emmanuel & Kovenock, Dan & Lugovskyy, Volodymyr, 2006. "Caps on bidding in all-pay auctions: Comments on the experiments of A. Rapoport and W. Amaldoss," Journal of Economic Behavior & Organization, Elsevier, vol. 61(2), pages 276-283, October.
    2. Miguel A. Fonseca & Hans-Theo Normann, 2013. "Excess Capacity and Pricing in Bertrand-Edgeworth Markets: Experimental Evidence," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 169(2), pages 199-228, June.
    3. He, Simin, 2019. "Minority advantage and disadvantage in competition and coordination," Journal of Economic Behavior & Organization, Elsevier, vol. 163(C), pages 464-482.
    4. 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.
    5. HHironori Otsubo, 2012. "Contests with Incumbency Advantages: An Experiment Investigation of the Effect of Limits on Spending Behavior and Outcome," Jena Economics Research Papers 2012-020, Friedrich-Schiller-University Jena.
    6. Lang, Matthias & Seel, Christian & Strack, Philipp, 2014. "Deadlines in stochastic contests," Journal of Mathematical Economics, Elsevier, vol. 52(C), pages 134-142.

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