Dynamic Oligopolistic Market Equilibrium Problems with Production Excesses: A Variational Approach

2011 ◽  
Author(s):  
Annamaria Barbagallo ◽  
Paolo Mauro ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
...  
2013 ◽  
Vol 2013 ◽  
pp. 1-12 ◽  
Author(s):  
Annamaria Barbagallo ◽  
Paolo Mauro

The paper is concerned with the dynamic oligopolistic market equilibrium problem in the realistic case in which we allow the presence of capacity constraints and production excesses and, moreover, we assume that the production function depends not only on the time but also on the equilibrium distribution. As a consequence, we introduce the generalized dynamic Cournot-Nash principle in the elastic case and prove the equivalence between this equilibrium definition and a suitable evolutionary quasi-variational inequality. For completeness we make the analysis of existence, regularity, and sensitivity of the solution. In the end, a numerical example is provided.


1990 ◽  
Vol 38 (6) ◽  
pp. 1045-1051 ◽  
Author(s):  
Sjur D. Flåm ◽  
Adi Ben-Israel

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