Abstract: 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.
Asymmetric Cournot Duopoly: A Game Complete Analysis
CARFI', David;
2013-01-01
Abstract
Abstract: 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.Pubblicazioni consigliate
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