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Irrelevance of the Strategic Variable in the Case of Relative Performance Maximization

  • Robert Philipowski EMAIL logo
Veröffentlicht/Copyright: 19. September 2017

Abstract

We study games with two possibilities for the strategic variable and find that contrary to the Nash equilibrium the evolutionarily stable equilibrium – provided it uniquely exists – does not depend on which possibility is chosen. Our result generalizes recent findings of Satoh, Tanaka and Wagener who studied this issue in various special cases.

JEL Classification: C72

Acknowledgements

I would like to thank an anonymous referee whose critical comments led to a considerable improvement of the paper.

References

Alós-Ferrer, C. and Ania A. B. 2005. “The Evolutionary Stability of Perfectly Competitive Behavior.” Economic Theory 26:497–516.10.1007/s00199-004-0474-8Suche in Google Scholar

Bayindir-Upmann, T. 1998. “Two Games of Interjurisdictional Competition When Local Governments Provide Industrial Public Goods.” International Tax and Public Finance 5:471–487.10.1023/A:1008694605822Suche in Google Scholar

Corchón, L. C. 1994. “Comparative Statics for Aggregative Games: The Strong Concavity Case.” Mathematical Social Sciences 28:151–165.10.1016/0165-4896(94)90001-9Suche in Google Scholar

Gigerenzer, G., and R. Selten. (eds.). 2001. Bounded Rationality: The Adaptive Toolbox. Cambridge, Massachusetts: MIT Press.10.7551/mitpress/1654.001.0001Suche in Google Scholar

Maynard Smith, J., and Price G. R. 1973. “The Logic of Animal Conflict.” Nature 246:15–18.10.1038/246015a0Suche in Google Scholar

Philipowski, R. 2015. “Comparison of Nash and Evolutionary Stable Equilibrium in Asymmetric Tax Competition.” Regional Science and Urban Economics 51:7–13.10.1016/j.regsciurbeco.2014.12.003Suche in Google Scholar

Philipowski, R. 2016. “Spiteful Behavior Can Make Everybody Better Off.” Evolutionary and Institutional Economics Review 13:113–116.10.1007/s40844-016-0035-4Suche in Google Scholar

Possajennikov, A. 2003. “Evolutionary Foundations of Aggregate-Taking Behavior.” Economic Theory 21:921–928.10.1007/s00199-002-0261-3Suche in Google Scholar

Sano, H. 2012. “Evolutionary Equilibria in Capital Tax Competition with Imitative Learning.” Evolutionary and Institutional Economics Review 9:S1–S23.10.14441/eier.9.S1Suche in Google Scholar

Satoh, A., and Tanaka Y. 2014. “Relative Profit Maximization and Equivalence of Cournot and Bertrand Equilibria in Asymmetric Duopoly.” Economics Bulletin 34:819–827.Suche in Google Scholar

Satoh, A., and Tanaka, Y. 2015. “Relative Profit Maximization and the Choice of Strategic Variables in Duopoly.” Keio Economic Studies 51:39–49.Suche in Google Scholar

Schaffer, M. E. 1988. “Evolutionarily Stable Strategies for a Finite Population and a Variable Contest Size.” Journal of Theoretical Biology 132:469–478.10.1016/S0022-5193(88)80085-7Suche in Google Scholar

Schaffer, M. E. 1989. “Are Profit-Maximisers the Best Survivors? A Darwinian Model of Economic Natural Selection.” Journal of Economic Behavior and Organization 12:29–45.10.1016/0167-2681(89)90075-9Suche in Google Scholar

Tanaka, Y. 1999. “Long Run Equilibria in an Asymmetric Oligopoly.” Economic Theory 14:705–715.10.1007/s001990050350Suche in Google Scholar

Tanaka, Y. 2000. “Stochastically Stable States in an Oligopoly with Differentiated Goods: Equivalence of Price and Quantity Strategies.” Journal of Mathematical Economics 34:235–253.10.1016/S0304-4068(00)00040-9Suche in Google Scholar

Tanaka, Y. 2013a. “Equivalence of Cournot and Bertrand Equilibria in Differentiated Duopoly Under Relative Profit Maximization with Linear Demand.” Economics Bulletin 33:1479–1486.Suche in Google Scholar

Tanaka, Y. 2013b. “Irrelevance of the Choice of Strategic Variables in Duopoly Under Relative Profit Maximization.” Economics and Business Letters 2:75–83.10.17811/ebl.2.2.2013.75-83Suche in Google Scholar

Vives, X. 1999. “Oligopoly Pricing: Old Ideas and New Tools. Cambridge, Massachusetts: MIT Press.Suche in Google Scholar

Wagener, A. 2013. “Tax Competition, Relative Performance, and Policy Imitation.” International Economic Review 54:1251–1264.10.1111/iere.12035Suche in Google Scholar

Wagener, A. 2016. “Evolutionary Stability in Fiscal Competition.” CESifo working paper 5791.10.2139/ssrn.2760258Suche in Google Scholar

Wildasin, D. E. 1988. “Nash Equilibria in Models of Fiscal Competition.” Journal of Public Economics 35:229–240.10.1016/0047-2727(88)90055-2Suche in Google Scholar

Wildasin, D. E. 1991. “Some Rudimentary ‘duopolity’ Theory.” Regional Science and Urban Economics 21:393–421.10.1016/0166-0462(91)90065-USuche in Google Scholar

Zodrow, G. R., and Mieszkowski, P. 1986. “Pigou, Tiebout, Property Taxation, and the Underprovision of Local Public Goods.” Journal of Urban Economics 19:356–370.10.1016/0094-1190(86)90048-3Suche in Google Scholar

Published Online: 2017-09-19

© 2019 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 18.11.2025 von https://www.degruyterbrill.com/document/doi/10.1515/bejte-2017-0012/pdf
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