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Comparing Bertrand and Cournot Equilibria: A Geometric Approach

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  1. Fujiwara, Kenji, 2009. "Trade liberalization in a differentiated duopoly reconsidered," Research in Economics, Elsevier, vol. 63(3), pages 165-171, September.
  2. Satoh, Atsuhiro & Tanaka, Yasuhito, 2015. "Relative profit maximization and the choice of strategic variables in duopoly," MPRA Paper 63000, University Library of Munich, Germany.
  3. Rupayan Pal, "undated". "The Cournot-Bertrand profit differential: A Reversal result in network goods duopoly," Indira Gandhi Institute of Development Research, Mumbai Working Papers 2013-014, Indira Gandhi Institute of Development Research, Mumbai, India.
  4. Michael Kopel & Eva Maria Putz, 2021. "Information sharing in a Cournot–Bertrand duopoly," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 42(7), pages 1645-1655, October.
  5. Manasakis, Constantine & Vlassis, Minas, 2014. "Downstream mode of competition with upstream market power," Research in Economics, Elsevier, vol. 68(1), pages 84-93.
  6. Lambertini, Luca, 1997. "Prisoners' Dilemma in Duopoly (Super)Games," Journal of Economic Theory, Elsevier, vol. 77(1), pages 181-191, November.
  7. Gregory E. Goering & Michael K. Pippenger & R. Kelley Pace, 1999. "Factor market effects upon product market equilibrium," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 20(1), pages 37-43.
  8. Xing, Yuqing & Zhao, Laixun, 2008. "Reverse imports, foreign direct investment and exchange rates," Japan and the World Economy, Elsevier, vol. 20(2), pages 275-289, March.
  9. Gilbert, John & Koska, Onur A. & Oladi, Reza, 2022. "The scope for strategic asymmetry under international rivalry," International Review of Economics & Finance, Elsevier, vol. 80(C), pages 464-468.
  10. Holmberg, Pär & Willems, Bert, 2015. "Relaxing competition through speculation: Committing to a negative supply slope," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 236-266.
  11. Dale W. Henderson & Ning S. Zhu, 1995. "Uncertainty, instrument choice, and the uniqueness of Nash equilibrium: microeconomic and macroeconomic examples," International Finance Discussion Papers 526, Board of Governors of the Federal Reserve System (U.S.).
  12. Troy Tassier, 2013. "Handbook of Research on Complexity, by J. Barkley Rosser, Jr. and Edward Elgar," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 39(1), pages 132-133.
  13. Banerjee, Dyuti S. & Chatterjee, Ishita, 2014. "Exploring Stackelberg profit ordering under asymmetric product differentiation," Economic Modelling, Elsevier, vol. 36(C), pages 309-315.
  14. Tarek Selim, 2004. "Endogenous quality choice: price and quantity competition," Economics Bulletin, AccessEcon, vol. 28(3), pages 1.
  15. Lofaro, Andrea, 2002. "On the efficiency of Bertrand and Cournot competition under incomplete information," European Journal of Political Economy, Elsevier, vol. 18(3), pages 561-578, September.
  16. Koethenbuerger, Marko, 2011. "How do local governments decide on public policy in fiscal federalism? Tax vs. expenditure optimization," Journal of Public Economics, Elsevier, vol. 95(11), pages 1516-1522.
  17. Mónica Correa‐López, 2007. "Price and Quantity Competition in a Differentiated Duopoly with Upstream Suppliers," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 16(2), pages 469-505, June.
  18. Dalla, Eleni, 2023. "Asymmetries in banking conduct: A Cournot - Bertrand model," Economics Letters, Elsevier, vol. 233(C).
  19. Aymeric Lardon, 2019. "On the coalitional stability of monopoly power in differentiated Bertrand and Cournot oligopolies," Theory and Decision, Springer, vol. 87(4), pages 421-449, November.
  20. Ibrahim Abada & Andreas Ehrenmann, 2016. "The prisoner’s dilemma in Cournot models: when endogenizing the level of competition leads to competitive behaviors," Cambridge Working Papers in Economics 1641, Faculty of Economics, University of Cambridge.
  21. Holmberg, Pär & Willems, Bert, 2015. "Relaxing competition through speculation: Committing to a negative supply slope," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 236-266.
  22. Kazuhiro Ohnishi, 2006. "A Mixed Duopoly with a Lifetime Employment Contract as a Strategic Commitment," FinanzArchiv: Public Finance Analysis, Mohr Siebeck, Tübingen, vol. 62(1), pages 108-123, March.
  23. Luca Lambertini, 2000. "Strategic Delegation and the Shape of Market Competition," Scottish Journal of Political Economy, Scottish Economic Society, vol. 47(5), pages 550-570, November.
  24. Magnolfi, Lorenzo & Quint, Daniel & Sullivan, Christopher & Waldfogel, Sarah, 2022. "Differentiated-products Cournot attributes higher markups than Bertrand–Nash," Economics Letters, Elsevier, vol. 219(C).
  25. Furth, Dave, 2009. "Anything goes with heterogeneous, but not always with homogeneous oligopoly," Journal of Economic Dynamics and Control, Elsevier, vol. 33(1), pages 183-203, January.
  26. Jim Y. Jin & Osiris J. Parcero, 2010. "Asymmetric Duopoly under Different Market Structures," International Journal of Business and Economics, School of Management Development, Feng Chia University, Taichung, Taiwan, vol. 9(1), pages 45-56, April.
  27. Miller, Nolan H. & Pazgal, Amit, 2005. "Strategic trade and delegated competition," Journal of International Economics, Elsevier, vol. 66(1), pages 215-231, May.
  28. Hsiao-Chi Chen & Yunshyong Chow & Shi-Miin Liu, 2024. "Dynamics of Cournot and Bertrand Firms: Exploring Imitation and Replicator Processes," Dynamic Games and Applications, Springer, vol. 14(5), pages 1057-1092, November.
  29. Miller, Nolan & Pazgal, Amit, 2002. "Strategic Trade and Delegated Competition," Working Paper Series rwp02-042, Harvard University, John F. Kennedy School of Government.
  30. Maria Alipranti & Emmanuel Petrakis, 2013. "Cournot is More Competitive than Bertrand! Upstream Monopoly with Two-part Tariffs," Working Papers 1305, University of Crete, Department of Economics.
  31. Manipushpak Mitra & Rupayan Pal & Arindam Paul & P. M. Sharada, 2020. "Equilibrium Coexistence of Public and Private Firms and the Plausibility of Price Competition," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 176(2), pages 217-242.
  32. Selim, Tarek, 2006. "Spatial Competition in a Differentiated Market with Asymmetric Costs," MPRA Paper 119499, University Library of Munich, Germany.
  33. Ya‐chin Wang & Leonard F.s. Wang, 2009. "Equivalence Of Competition Mode In A Vertically Differentiated Duopoly With Delegation," South African Journal of Economics, Economic Society of South Africa, vol. 77(4), pages 577-590, December.
  34. Ramesh Johari & Gabriel Weintraub, 2007. "Competition in Prices and Service Level Guarantees," Working Papers 07-21, NET Institute, revised Sep 2007.
  35. Laixun Zhao & Yuqing Xing, 2003. "Currency Devaluation and Global Outsourcing," Working Papers EMS_2003_04, Research Institute, International University of Japan.
  36. M. Breton & A. Turki & G. Zaccour, 2004. "Dynamic Model of R&D, Spillovers, and Efficiency of Bertrand and Cournot Equilibria," Journal of Optimization Theory and Applications, Springer, vol. 123(1), pages 1-25, October.
  37. Lee, DongJoon & Choi, Kangsik & Nariu, Tatsuhiko, 2016. "Endogenous Choice of Price or Quantity Contract with Upstream R&D Investment: Linear Pricing and Two-part Tariff Contract with Bargaining," MPRA Paper 72752, University Library of Munich, Germany.
  38. James A. Brander & Barbara J. Spencer, 2022. "Differentiated Entry or “Me-Too” Entry in Bertrand and Cournot Oligopoly," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 60(1), pages 1-27, February.
  39. Pio Baake & Kay Mitusch, 2007. "Competition with Congestible Networks," Journal of Economics, Springer, vol. 91(2), pages 151-176, June.
  40. Lambertini Luca, 2000. "Technology and Cartel Stability under Vertical Differentiation," German Economic Review, De Gruyter, vol. 1(4), pages 421-442, December.
  41. Fischer, Carolyn, 2011. "Market power and output-based refunding of environmental policy revenues," Resource and Energy Economics, Elsevier, vol. 33(1), pages 212-230, January.
  42. Ciprian Rusescu & Mihai Daniel Roman, 2020. "Product Differentiation Impact on Games Theory Models," Ovidius University Annals, Economic Sciences Series, Ovidius University of Constantza, Faculty of Economic Sciences, vol. 0(2), pages 500-508, December.
  43. Nolan Miller & Amit Pazgal, 2007. "Advertising budgets in competitive environments," Quantitative Marketing and Economics (QME), Springer, vol. 5(2), pages 131-161, June.
  44. Julien Berthoumieu, 2015. "Policy Instruments, Patents and International Technology Diffusion in a North-South Duopoly," Working Papers hal-01155111, HAL.
  45. Constantine Manasakis & Minas Vlassis, 2006. "Equilibrium Mode of Competition in Unionized Oligopolies: Do Unions Act as Commitment Devices to Cournot Outcomes?," Working Papers 0603, University of Crete, Department of Economics.
  46. Basak, Debasmita & Wang, Leonard F.S., 2019. "Cournot vs. Bertrand in mixed markets with R&D," The North American Journal of Economics and Finance, Elsevier, vol. 48(C), pages 265-271.
  47. Rothschild, R., 1995. "Sustaining collusion when the choice of strategic variable is endogenous," Journal of Economic Behavior & Organization, Elsevier, vol. 28(3), pages 373-385, December.
  48. Tsuyoshi Toshimitsu, 2016. "Price and Quantity Competition in a Differentiated Duopoly With Network Compatibility Effects," The Japanese Economic Review, Springer, vol. 67(4), pages 495-512, December.
  49. Kazuhiro Ohnishi, 2011. "A Quantity-Setting Mixed Duopoly with Inventory Investment as a Coordination Device," Annals of Economics and Finance, Society for AEF, vol. 12(1), pages 109-119, May.
  50. Milliou, Chrysovalantou & Petrakis, Emmanuel, 2011. "Timing of technology adoption and product market competition," International Journal of Industrial Organization, Elsevier, vol. 29(5), pages 513-523, September.
  51. Chang, Ming Chung & Lin, Yun-Chieh & Lin, Chiu Fen, 2012. "Comparing Cournot Duopoly And Monopoly With Asymmetric Differentiated Goods," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 53(2), pages 177-200, December.
  52. Chang Ray-Yun & Hu Jin-Li & Lin Yan-Shu, 2018. "The Choice of Prices versus Quantities under Outsourcing," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 18(2), pages 1-20, July.
  53. Tanaka, Yasuhito, 2001. "Profitability of price and quantity strategies in an oligopoly," Journal of Mathematical Economics, Elsevier, vol. 35(3), pages 409-418, June.
  54. Kenji Fujiwara, 2022. "Cournot, Bertrand or Chamberlin: Market Structures and the Home Market Effect," Discussion Paper Series 235, School of Economics, Kwansei Gakuin University.
  55. Alipranti, Maria & Milliou, Chrysovalantou & Petrakis, Emmanuel, 2014. "Price vs. quantity competition in a vertically related market," Economics Letters, Elsevier, vol. 124(1), pages 122-126.
  56. George Q. Huang & Haiyan Song & Xinyan Zhang, 2009. "A comparative analysis of quantity and price competitions in tourism supply chain networks for package holidays," The Service Industries Journal, Taylor & Francis Journals, vol. 30(10), pages 1593-1606, November.
  57. Markus Reisinger & Ludwig Ressner, 2009. "The Choice of Prices versus Quantities under Uncertainty," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 18(4), pages 1155-1177, December.
  58. Arghya Ghosh & Manipushpak Mitra, 2008. "Comparing Bertrand and Cournot Outcomes in the Presence of Public Firms," Discussion Papers 2008-18, School of Economics, The University of New South Wales.
  59. Sverre Grepperud & Pål Andreas Pedersen, 2022. "First and second mover advantages and the degree of conflicting interests," Managerial and Decision Economics, John Wiley & Sons, Ltd., vol. 43(6), pages 1861-1873, September.
  60. James A. Brander & Barbara J. Spencer, 2015. "Endogenous Horizontal Product Differentiation under Bertrand and Cournot Competition: Revisiting the Bertrand Paradox," NBER Working Papers 20966, National Bureau of Economic Research, Inc.
  61. Kangsik, Choi, 2011. "Cournot and Bertrand competition with asymmetric costs in a mixed duopoly," MPRA Paper 34100, University Library of Munich, Germany.
  62. Kangsik, Choi, 2008. "Cournot-Bertrand competition in a unionized mixed duopoly," MPRA Paper 12787, University Library of Munich, Germany, revised 26 Dec 2008.
  63. Jochen Manegold, 2016. "Stackelberg Competition among Intermediaries in a Differentiated Duopoly with Product Innovation," Working Papers CIE 98, Paderborn University, CIE Center for International Economics.
  64. Ryo Hashizume & Tatsuhiko Nariu, 2020. "Price and quantity competition with network externalities: Endogenous choice of strategic variables," Manchester School, University of Manchester, vol. 88(6), pages 847-865, December.
  65. Lopez, Monica Correa & Naylor, Robin A., 2001. "The Cournot-Bertrand Profit Differential: a reversal result in a differentiated duopoly with wage bargaining," Economic Research Papers 269405, University of Warwick - Department of Economics.
  66. Liang, Wen-Jung & Hwang, Hong & Mai, Chao-Cheng, 2006. "Spatial discrimination: Bertrand vs. Cournot with asymmetric demands," Regional Science and Urban Economics, Elsevier, vol. 36(6), pages 790-802, November.
  67. Colombo, Luca & Labrecciosa, Paola, 2015. "On the Markovian efficiency of Bertrand and Cournot equilibria," Journal of Economic Theory, Elsevier, vol. 155(C), pages 332-358.
  68. Aitor Ciarreta & Javier García†Enríquez, 2018. "Profitable Strategic Delegation With Conjectural Variations," Bulletin of Economic Research, Wiley Blackwell, vol. 70(2), pages 185-203, April.
  69. Furth, D., 2007. "Anything goes with heterogeneous, but not with homogeneous oligopoly," CeNDEF Working Papers 07-12, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  70. Delbono, Flavio & Lambertini, Luca, 2016. "Ranking Bertrand, Cournot and supply function equilibria in oligopoly," Energy Economics, Elsevier, vol. 60(C), pages 73-78.
  71. Amr Farahat & Georgia Perakis, 2011. "TECHNICAL NOTE---A Comparison of Bertrand and Cournot Profits in Oligopolies with Differentiated Products," Operations Research, INFORMS, vol. 59(2), pages 507-513, April.
  72. Tanaka, Yasuhito, 2001. "Evolution to equilibrium in an asymmetric oligopoly with differentiated goods," International Journal of Industrial Organization, Elsevier, vol. 19(9), pages 1423-1440, November.
  73. Xiaoming Yan & Yong Wang & Zhaofu Hong, 2016. "Comparison of Bertrand and Cournot competitions under random yield," International Journal of Production Research, Taylor & Francis Journals, vol. 54(11), pages 3256-3276, June.
  74. Yang, Xiao-hua & Luo, Yun-feng & Wu, Hui-qiu, 2009. "On the comparison of price and quantity competition under endogenous timing," Research in Economics, Elsevier, vol. 63(1), pages 55-61, March.
  75. Haraguchi, Junichi & Matsumura, Toshihiro, 2014. "Price versus quantity in a mixed duopoly with foreign penetration," Research in Economics, Elsevier, vol. 68(4), pages 338-353.
  76. 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.
  77. Ghosh, Arghya & Mitra, Manipushpak, 2010. "Comparing Bertrand and Cournot in mixed markets," Economics Letters, Elsevier, vol. 109(2), pages 72-74, November.
  78. Rupayan Pal, 2014. "Price and quantity competition in network goods duopoly: a reversal result," Economics Bulletin, AccessEcon, vol. 34(2), pages 1019-1027.
  79. Xing Gao & Weijun Zhong, 2016. "Economic incentives in security information sharing: the effects of market structures," Information Technology and Management, Springer, vol. 17(4), pages 361-377, December.
  80. Markus Pasche, 2002. "Heterogeneous Behavioral Rules in the Oligopolistic Case," Working Paper Series B 2002-01, Friedrich Schiller University of Jena, School of of Economics and Business Administration.
  81. Sonja Brangewitz & Jochen Manegold, 2015. "Competition and Product Innovation of Intermediaries in a Differentiated Duopoly," Working Papers CIE 90, Paderborn University, CIE Center for International Economics.
  82. Shaffer, Sherrill, 2004. "Patterns of competition in banking," Journal of Economics and Business, Elsevier, vol. 56(4), pages 287-313.
  83. Debasmita Basak, 2023. "Price and Quantity Competition under Vertical Pricing," Games, MDPI, vol. 14(4), pages 1-8, June.
  84. Azacis, Helmuts & Collie, David R., 2021. "A General Model of International Tax Competition with Applications," Cardiff Economics Working Papers E2021/31, Cardiff University, Cardiff Business School, Economics Section.
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  91. Luciano Fanti & Nicola Meccheri, 2015. "On the Cournot–Bertrand Profit Differential and the Structure of Unionisation in a Managerial Duopoly," Australian Economic Papers, Wiley Blackwell, vol. 54(4), pages 266-287, December.
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  94. Fujiwara, Kenji, 2023. "Market structure and industry location in a footloose capital model," Research in Economics, Elsevier, vol. 77(2), pages 275-283.
  95. Antonio Doria, Francisco, 2011. "J.B. Rosser Jr. , Handbook of Research on Complexity, Edward Elgar, Cheltenham, UK--Northampton, MA, USA (2009) 436 + viii pp., index, ISBN 978 1 84542 089 5 (cased)," Journal of Economic Behavior & Organization, Elsevier, vol. 78(1-2), pages 196-204, April.
  96. Choi, Kangsik, 2008. "Comparing Cournot and Bertrand Competition in a Unionized Mixed Duopoly," MPRA Paper 15468, University Library of Munich, Germany, revised 27 May 2009.
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  98. Dastidar, Krishnendu Ghosh, 2004. "On Stackelberg games in a homogeneous product market," European Economic Review, Elsevier, vol. 48(3), pages 549-562, June.
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  103. Tanaka, Yasuhito, 2000. "Stochastically stable states in an oligopoly with differentiated goods: equivalence of price and quantity strategies," Journal of Mathematical Economics, Elsevier, vol. 34(2), pages 235-253, October.
  104. Kangsik, Choi, 2012. "Cournot and Bertrand competition with asymmetric costs in a mixed duopoly revisited," MPRA Paper 37704, University Library of Munich, Germany, revised 28 Mar 2012.
  105. Arghya Ghosh & Manipushpak Mitra, 2014. "Reversal of Bertrand-Cournot Rankings in the Presence of Welfare Concerns," Journal of Institutional and Theoretical Economics (JITE), Mohr Siebeck, Tübingen, vol. 170(3), pages 496-519, September.
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