An algorithm to decide if the intersection of convex polyhedral cones has a non empty interior

1976 ◽  
Vol 16 (4) ◽  
pp. 459-461 ◽  
Author(s):  
Marcel Boyer ◽  
Louis Paquette
Keyword(s):  
Empty Interior ◽  
Polyhedral Cones ◽  
Convex Polyhedral ◽  
Convex Polyhedral Cones

scholarly journals A Full Description of ω-Limit Sets of Cournot Maps Having Non-Empty Interior and Some Economic Applications

Mathematics ◽  
2021 ◽  
Vol 9 (4) ◽  
pp. 452
Author(s):  
Antonio Linero-Bas ◽  
María Muñoz-Guillermo
Keyword(s):  
Economic Models ◽  
Full Description ◽  
Cournot Model ◽  
Empty Interior ◽  
Limit Sets ◽  
Economic Applications

Given a continuous Cournot map F(x,y)=(f2(y),f1(x)) defined from I2=[0,1]×[0,1] into itself, we give a full description of its ω-limit sets with non-empty interior. Additionally, we present some partial results for the empty interior case. The distribution of the ω-limits with non-empty interior gives information about the dynamics and the possible outputs of each firm in a Cournot model. We present some economic models to illustrate, with examples, the type of ω-limits that appear.

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