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Bertrand Games and Sharing Rules

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  • Steffen Hoernig

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  • Steffen Hoernig, 2007. "Bertrand Games and Sharing Rules," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 573-585, June.
  • Handle: RePEc:spr:joecth:v:31:y:2007:i:3:p:573-585
    DOI: 10.1007/s00199-006-0112-8
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    References listed on IDEAS

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    1. Dastidar, Krishnendu Ghosh, 1995. "On the Existence of Pure Strategy Bertrand Equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(1), pages 19-32, January.
    2. Blume, Andreas, 2003. "Bertrand without fudge," Economics Letters, Elsevier, vol. 78(2), pages 167-168, February.
    3. Simon, Leo K. & Zame, William R., 1987. "Discontinous Games and Endogenous Sharing Rules," Department of Economics, Working Paper Series qt8n46v2wv, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
    4. Dan Kovenock & Raymond J. Deneckere, 1996. "Bertrand-Edgeworth duopoly with unit cost asymmetry (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 8(1), pages 1-25.
    5. Philip J. Reny, 1999. "On the Existence of Pure and Mixed Strategy Nash Equilibria in Discontinuous Games," Econometrica, Econometric Society, vol. 67(5), pages 1029-1056, September.
    6. Baye, Michael R. & Morgan, John, 1999. "A folk theorem for one-shot Bertrand games," Economics Letters, Elsevier, vol. 65(1), pages 59-65, October.
    7. Hoernig, Steffen H., 2002. "Mixed Bertrand equilibria under decreasing returns to scale: an embarrassment of riches," Economics Letters, Elsevier, vol. 74(3), pages 359-362, February.
    8. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-872, July.
    9. Todd R. Kaplan & David Wettstein, 2000. "The possibility of mixed-strategy equilibria with constant-returns-to-scale technology under Bertrand competition," Spanish Economic Review, Springer;Spanish Economic Association, vol. 2(1), pages 65-71.
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    Citations

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    Cited by:

    1. Philippe Bich & Rida Laraki, 2012. "A Unified Approach to Equilibrium Existence in Discontinuous Strategic Games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00717135, HAL.
    2. Alejandro Saporiti, 2008. "Existence and Uniqueness of Nash Equilibrium in Electoral Competition Games: The Hybrid Case," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(5), pages 827-857, October.
    3. Cabon-Dhersin Marie-Laure & Drouhin Nicolas, 2017. "A general model of price competition with soft capacity constraints," Working Papers 2017-56, Center for Research in Economics and Statistics.
    4. Philippe Bich & Rida Laraki, 2014. "On the Existence of Approximate Equilibria and Sharing Rule Solutions in Discontinuous Games," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01071678, HAL.
    5. Jeanine Miklós-Thal, 2011. "Optimal collusion under cost asymmetry," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(1), pages 99-125, January.
    6. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2014. "Tacit Collusion in a One-Shot Game of Price Competition with Soft Capacity Constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00974270, HAL.
    7. Dastidar, Krishnendu Ghosh, 2011. "Bertrand equilibrium with subadditive costs," Economics Letters, Elsevier, vol. 112(2), pages 202-204, August.
    8. Alejandro Saporiti & German Coloma, 2008. "Bertrand's price competition in markets with fixed costs," RCER Working Papers 541, University of Rochester - Center for Economic Research (RCER).
    9. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2014. "Tacit Collusion in a One-Shot Game of Price Competition with Soft Capacity Constraints," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 23(2), pages 427-442, June.
    10. Germán Coloma, 2010. "El número óptimo de empresas bajo competencia de Bertrand," Estudios de Economia, University of Chile, Department of Economics, vol. 37(2 Year 20), pages 189-205, December.
    11. R. R. Routledge, 2017. "Information, ambiguity and price equilibrium," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 5(2), pages 199-214, October.
    12. Wentao Yi & Chunqiao Tan, 2019. "Bertrand Game with Nash Bargaining Fairness Concern," Complexity, Hindawi, vol. 2019, pages 1-22, August.
    13. Philippe Bich & Rida Laraki, 2014. "On the Existence of Approximate Equilibria and Sharing Rule Solutions in Discontinuous Games," Working Papers hal-01071678, HAL.
    14. Cabon-Dhersin Marie-Laure & Drouhin Nicolas, 2017. "A general model of price competition with soft capacity constraints," Working Papers 2017-56, Center for Research in Economics and Statistics.
    15. Roberto Pinheiro & Daniel Monte, 2017. "Costly Information Intermediation as a Natural Monopoly," Working Papers 172101, Federal Reserve Bank of Cleveland, revised 16 Nov 2017.
    16. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2010. "The end of the Bertrand Paradox ?," Post-Print halshs-00542486, HAL.
    17. Philippe Bich & Rida Laraki, 2012. "A Unified Approach to Equilibrium Existence in Discontinuous Strategic Games," Documents de travail du Centre d'Economie de la Sorbonne 12040, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    18. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2012. "Tacit collusion in a one-shot game of price competition with soft capacity constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00709093, HAL.
    19. Bagh, Adib, 2010. "Pure strategy equilibria in Bertrand games with discontinuous demand and asymmetric tie-breaking rules," Economics Letters, Elsevier, vol. 108(3), pages 277-279, September.
    20. Marie-Laure Cabon-Dhersin & Nicolas Drouhin, 2014. "Tacit Collusion in a One-Shot Game of Price Competition with Soft Capacity Constraints," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-01311142, HAL.
    21. Roy Chowdhury, Prabal, 2009. "Free Entry Bertrand Competition," MPRA Paper 17837, University Library of Munich, Germany.
    22. Saporiti Alejandro & Coloma Germán, 2010. "Bertrand Competition in Markets with Fixed Costs," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 10(1), pages 1-30, June.
    23. Makoto Yano & Takashi Komatsubara, 2018. "Price competition or price leadership," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(4), pages 1023-1057, December.
    24. R. R. Routledge, 2013. "On the existence of coalition-proof Bertrand equilibrium," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 1(1), pages 21-31, May.

    More about this item

    Keywords

    Bertrand games; Sharing rule; Tie-decreasing sharing rule; Coalition monotonicity; C72; D43; L13;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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