The dynamics of a Bertrand duopoly with differentiated products and bounded rational firms revisited
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- Luciano Fanti & Luca Gori, 2011. "The dynamics of a Bertrand duopoly with differentiated products and bounded rational firms revisited," Discussion Papers 2011/120, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
References listed on IDEAS
- Agiza, H.N. & Elsadany, A.A., 2003. "Nonlinear dynamics in the Cournot duopoly game with heterogeneous players," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 320(C), pages 512-524.
- Luciano Fanti & Nicola Meccheri, 2011.
"The Cournot-Bertrand profit differential in a differentiated duopoly with unions and labour decreasing returns,"
Economics Bulletin, AccessEcon, vol. 31(1), pages 233-244.
- Luciano Fanti & Nicola Meccheri, 2010. "The Cournot-Bertrand Profit Differential in a Differentiated Duopoly with Unions and Labour Decreasing Returns," Working Paper series 36_10, Rimini Centre for Economic Analysis.
- Luciano Fanti & Nicola Meccheri, 2010. "The Cournot-Bertrand profit differential in a differentiated duopoly with unions and labour decreasing returns," Discussion Papers 2010/107, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
- Qiu, Larry D., 1997. "On the Dynamic Efficiency of Bertrand and Cournot Equilibria," Journal of Economic Theory, Elsevier, vol. 75(1), pages 213-229, July.
- Bischi, Gian-Italo & Stefanini, Luciano & Gardini, Laura, 1998. "Synchronization, intermittency and critical curves in a duopoly game," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 44(6), pages 559-585.
- Medio,Alfredo & Gallo,Giampaolo, 1995. "Chaotic Dynamics," Cambridge Books, Cambridge University Press, number 9780521484619, September.
- Zhang, Jixiang & Da, Qingli & Wang, Yanhua, 2009. "The dynamics of Bertrand model with bounded rationality," Chaos, Solitons & Fractals, Elsevier, vol. 39(5), pages 2048-2055.
- Avinash Dixit, 1979.
"A Model of Duopoly Suggesting a Theory of Entry Barriers,"
Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 20-32, Spring.
- Dixit, Avinash K., 1978. "A Model of Duopoly Suggesting a Theory of Entry Barriers," The Warwick Economics Research Paper Series (TWERPS) 125, University of Warwick, Department of Economics.
- Dixit, Avinash, 1978. "A Model Of Duopoly Suggesting A Theory Of Entry Barriers," Economic Research Papers 269023, University of Warwick - Department of Economics.
- Zhang, Jixiang & Da, Qingli & Wang, Yanhua, 2007. "Analysis of nonlinear duopoly game with heterogeneous players," Economic Modelling, Elsevier, vol. 24(1), pages 138-148, January.
- G.‐I. Bischi & M. Gallegati & A. Naimzada, 1999. "Symmetry‐breaking bifurcations and representativefirm in dynamic duopoly games," Annals of Operations Research, Springer, vol. 89(0), pages 252-271, January.
- Lopez, Monica Correa & Naylor, Robin A., 2004. "The Cournot-Bertrand profit differential: A reversal result in a differentiated duopoly with wage bargaining," European Economic Review, Elsevier, vol. 48(3), pages 681-696, June.
- Ghosh, Arghya & Mitra, Manipushpak, 2010. "Comparing Bertrand and Cournot in mixed markets," Economics Letters, Elsevier, vol. 109(2), pages 72-74, November.
- Nirvikar Singh & Xavier Vives, 1984. "Price and Quantity Competition in a Differentiated Duopoly," RAND Journal of Economics, The RAND Corporation, vol. 15(4), pages 546-554, Winter.
- Dixit, Avinash K, 1986. "Comparative Statics for Oligopoly," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 27(1), pages 107-122, February.
- Hackner, Jonas, 2000.
"A Note on Price and Quantity Competition in Differentiated Oligopolies,"
Journal of Economic Theory, Elsevier, vol. 93(2), pages 233-239, August.
- Häckner, Jonas, 1999. "A Note on Price and Quantity Competition in Differentiated Oligopolies," Research Papers in Economics 1999:9, Stockholm University, Department of Economics.
- Tramontana, Fabio, 2010. "Heterogeneous duopoly with isoelastic demand function," Economic Modelling, Elsevier, vol. 27(1), pages 350-357, January.
- Vives, Xavier, 1985. "On the efficiency of Bertrand and Cournot equilibria with product differentation," Journal of Economic Theory, Elsevier, vol. 36(1), pages 166-175, June.
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Cited by:
- Luciano Fanti & Luca Gori, 2013.
"Stability Analysis in a Bertrand Duopoly with Different Product Quality and Heterogeneous Expectations,"
Journal of Industry, Competition and Trade, Springer, vol. 13(4), pages 481-501, December.
- Luciano Fanti & Luca Gori, 2011. "Stability analysis in a Bertrand duopoly with different product quality and heterogeneous expectations," Discussion Papers 2011/122, Dipartimento di Economia e Management (DEM), University of Pisa, Pisa, Italy.
- Fanti, Luciano & Gori, Luca, 2011. "Stability analysis in a Bertrand duopoly with different product quality and heterogeneous expectations," MPRA Paper 33480, University Library of Munich, Germany.
- Hongqiang Fan & Yichen Sun & Lifen Yun & Runfeng Yu, 2023. "A Joint Distribution Pricing Model of Express Enterprises Based on Dynamic Game Theory," Mathematics, MDPI, vol. 11(19), pages 1-17, September.
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More about this item
Keywords
Bifurcation; Chaos; Differentiated products; Duopoly; Price competition;All these keywords.
JEL classification:
- L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets
- D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
- C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
NEP fields
This paper has been announced in the following NEP Reports:- NEP-BEC-2011-09-16 (Business Economics)
- NEP-COM-2011-09-16 (Industrial Competition)
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