Guerrazzi, Marco (2012): Asymptotic relations in Cournot's game.
Download (114kB) | Preview
In this note, I derive the asymptotic relation verified by oligopolists' iso-profit curves within Cournot's game. Thereafter, I provide an economic rationale for such a mathematical relation. The results of this exploration suggest that for each firm the asymptotes of the iso-profit curves convey the boundaries beyond which output competitors become net purchasers of the good supplied in the market.
|Item Type:||MPRA Paper|
|Original Title:||Asymptotic relations in Cournot's game|
|English Title:||Asymptotic relations in Cournot's game|
|Keywords:||Cournot's Game; Nash Equilibrium; Asymptotes|
|Subjects:||C - Mathematical and Quantitative Methods > C7 - Game Theory and Bargaining Theory > C72 - Noncooperative Games|
|Depositing User:||Dr Marco Guerrazzi|
|Date Deposited:||24. Nov 2012 11:39|
|Last Modified:||19. Feb 2013 12:46|
Bertrand, J. (1883), Revue de la Theorie Mathematique de la Richesse Sociale et des Recherches sur les Principles Mathematiques de la Theorie des Richesses, Journal des Savants, pp. 499-508.
Cournot A. (1838), Recherces sur les Principes Mathematiques de la Theorie de la Richesse. Paris: L. Hachette.
Guerrazzi M. (2012), On Involuntary Unemployment: Notes on Efficiency-Wage Competition, MPRA Paper, No. 38140.
Hahn F.H. (1987), On Involuntary Unemployment, Economic Journal, Supplement: Conference Papers, pp. 1-16.
Kopel M. (1996), Simple and Complex Adjustment Dynamics in Cournot Duopoly Models, Chaos, Solitons & Fractals, Vol. 7, No. 12, pp. 2031-2048.
Mas-Colell A., M. D. Whinston and J.R. Green (1995), Microeconomic Theory, New York: Oxford University Press.
Mayer T. (2000), Spatial Cournot Competition and Heterogeneous Production Costs Across Locations, Regional Science and Urban Economics, Vol. 30, No. 3, pp. 325-352.
Sing N. and X. Vives (1984), Price and Quantity Competition in a Differentiated Duopoly, RAND Journal of Economics, Vol. 15, No. 4, pp. 546-554.
Varian H.R. (1992), Microeconomic Analysis, 3rd Edition, New York: W.W. Norton & Company.
Available Versions of this Item
- Asymptotic relations in Cournot's game. (deposited 24. Nov 2012 11:39) [Currently Displayed]