Privatization and Government Preference: Cournot vs Bertrand Models

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Authors

  • Fernanda A. Ferreira Applied Management Research Unit (UNIAG), School of Hospitality and Tourism - Polytechnic Institute of Porto, Vila do Conde, Portugal Author
  • Flávio Ferreira Applied Management Research Unit (UNIAG), School of Hospitality and Tourism - Polytechnic Institute of Porto, Vila do Conde, Portugal Author

DOI:

https://doi.org/10.5890/JAND.2018.09.007

Abstract

We will consider a mixed Bertrand duopoly model (that means, two firms decide simultaneously their prices for a substitutable good) to study the relationship between the privatization of a state-owned public firm and government preferences for tax revenue. In the model, we assume that the government imposes a specific tax rate on the quantity produced by each firm. The public firm aims to maximize social welfare, whereas the government’s objective function is a weighted sum between social welfare and tax revenue. Of course, the private firm aims to maximize its own profit. Furthermore, we also present the results for the Cournot duopoly model with differentiated goods, and we do a comparison between both models. We also present comparative static results.

References

[1] Ogawa, A. and Kato, K. (2006), Price competition in a mixed duopoly, Economics Letters, 12, 4-15.

[2] White, M. (1996), Mixed oligopoly, privatization and subsidization, Economics Letters, 53, 189-195.

[3] Fjell, K. and Heywood, J. (2004), Mixed oligopoly, subsidization and the order of firms's moves: the relevance of privatization, Economics Letters, 53, 411-416.

[4] Matsumura, T. (1998), Partial privatization in mixed Duopoly, Journal of Public Economics, 70(40), 473-483.

[5] Kato, H. (2008), Privatization and government preference, Economics Bulletin, 12(40), 1-7.

[6] Ferreira, F.A. and Ferreira, F. (2014), Privatization and government preferences in a mixed duopoly: Stackelberg versus Cournot, In Tenreiro Machado et al. (Eds.) Discontinuity and Complexity in Nonlinear Physical Systems, DOI: 10.1007/978-3-319-01411-1-24, Springer International Publishing Switzerland, 421-430.

[7] Ferreira, F.A. and Ferreira, F. (2016), Privatization and government preference in a Bertrand model, In Proceedings of 6th International Conference on Nonlinear Science and Complexity, São José dos Campos - SP, Brazil. DOI: 10.20906/cps/nsc2016-0041.

[8] Singh, N. and Vives, X. (1984), Price and quantity competition in a differentiated duopoly, RAND Journal of Economics, 15, 546-554.

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PublishedSeptember 2018

Usage tracking begins September 1, 2026.

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Research Articles

How to Cite

Ferreira, F. A., & Ferreira, F. (2026). Privatization and Government Preference: Cournot vs Bertrand Models. Journal of Applied Nonlinear Dynamics, 7(3), 297-308. https://doi.org/10.5890/JAND.2018.09.007