Asymmetric Cournot Duopoly: A Game Complete Analysis
DOI:
https://doi.org/10.6000/1929-7092.2013.02.16Keywords:
Asymmetric Cournot Duopoly, Software algorithms in Microeconomic Policy, Complete Analysis of a normal-form game, valuation of Nash equilibriums, Bargaining solutionsAbstract
In this paper, we apply the Complete Analysis of Differentiable Games (introduced by D. Carfì in Topics in Game Theory (2012), Carfì ICT 2009, Carfì AAPP 2009, Carfì GO 2009; already employed by himself and others in Carfì TPREF 2011, Carfì AAPP 2010, Carfì ISGC 2009) and some new algorithms, using the software wxMaxima 11.04.0, in order to reach a total scenario knowledge (that is the total knowledge of the payoff space of the interaction) of the classic Cournot Duopoly (1838), viewed as a complex interaction between two competitive subjects, in a particularly interesting asymmetric case. Moreover, in this work we propose a theoretical justification, for a general kind of asymmetric duopolistic interactions (which often appear in the real economic world), by considering and proposing a Cobb-Douglas perturbation of the classic linear model of production costs.
References
Aubin Jean Pierre, Mathematical Methods of Game and Economic Theory (Revised Edition), (North-Holland), 1982.
Aubin Jean Pierre, Optima and Equilibria, (Springer Verlag, 1998).
Carfì David, Ricciardello Angela Topics in Game Theory, APPS 2012.
Carfì David, Schilirò Daniele, Crisis in the Euro area: coopetitive game solutions as new policy tools, TPREF - Theoretical and Practical Research in Economic Fields, Summer issue 2011 http://mpra.ub.uni-muenchen.de/27138/
Carfì David, Ricciardello Angela, An algorithm for payoff space in C1 games, AAPP | Physical, Mathematical, and Natural Sciences, Vol. 88, issue 1, 2010 http://cab.unime.it/journals/ index.php/AAPP/article/view/C1A1001003/
Carfì David, Differentiable game complete analysis for tourism firm decisions, Proceedings of THE 2009 INTERNATIONAL CONFERENCE ON TOURISM (ICT 2009) and WORKSHOP on Sustainable tourism within High Risk areas of environmental crisis, Messina, April 22/25 (2009) http://mpra.ub.uni-muenchen.de/29193/
Carfì David, Globalization and Differentiable General Sum Games, Proceeding of 3rd International Symposium Globalization and Convergence in Economic Thought (ISGC 2009), Faculty of Economics - Communication and Economic Doctrines Department - The Bucharest Academy of Economic Studies - Bucharest December 11/12 (2009)
Carfì David, Payoff space and Pareto boundaries of C1 Games, APPS vol. 2009 http://www.mathem.pub.ro/apps/v11/ a11.htm
Carfì David, Complete study of linear infinite games, Proceedings of the International Geometry Center - Prooceeding of the International Conference “Geometry in Odessa 2009” (GO 2009), Odessa, 25 - 30 May 2009 - vol. 2 n. 3 (2009) http://proceedings.d-omega.org/
Carfì David, Optimal boundaries for decisions, Atti dell'Accademia Peloritana dei Pericolanti - Classe di Scienze Fisiche, Matematiche e Naturali Vol. 86, (2008) http://cab.unime.it/ journals/index.php/AAPP/article/view/376
Carfì David, Ricciardello Angela, Non-reactive strategies in decision-form games, AAPP | Physical, Mathematical, and Natural Sciences, Vol. 87, (2009) issue 1, pp. 1-18
Carfì David, Decision-form games, Proceedings of the IX SIMAI Congress, Rome, 22 - 26 September 2008, Communications to SIMAI congress, vol. 3, (2009) pp. 1-12 http://cab.unime.it/ journals/index.php/congress/article/view/307
Carfì David, Reactivity in decision-form games, MPRA - paper 29001, University Library of Munich, Germany. http://mpra.ub.uni-muenchen.de/29001/
Carfì David, Ricciardello Angela, Mixed Extensions of decision-form games, MPRA - paper 28971, University Library of Munich, Germany. http://mpra.ub.uni-muenchen.de/28971/
Dennis W. Carlton, Jeffrey M. Perloff, Industrial organization, McGraw-Hill 2005 ISBN 88-386-6209-6
Downloads
Published
How to Cite
Issue
Section
License
Policy for Journals/Articles with Open Access
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are permitted and encouraged to post links to their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work
Policy for Journals / Manuscript with Paid Access
Authors who publish with this journal agree to the following terms:
- Publisher retain copyright .
- Authors are permitted and encouraged to post links to their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work .
