Finding 'Equilibria' using EMP equilibrium
Posted: Mon Nov 29, 2021 2:56 pm
Hello friends
Recently I read a paper written by Xuan Liu and Antonio J. Conejo. In this paper, they have 3 minimization problems. to find the equilibria, they converted these 3 optimization problems to their KKT equivalent and then added one auxiliary optimization. altogether, there would be one optimization problem (the auxiliary) along with the KKT of the former three optimizations.
I can model such a system using PATH solver in GAMS like a Mixed Complementarity Problem (MCP) format, but I am wondering if it is possible to use EMP to find equilibria, instead of the equilibrium.
If I model the 3 optimizations in EMP Equilibrium, does GAMS return any first equilibrium it may encounter? or it returns the equilibria?
In many cases working with 'EMP equilibrium' , I have received "other error" message or "Solution found" just by changing the input data! Even sometimes I am sure about the availability of feasible solutions, but still I get "Other error" .is it related to the availability of equilibria or what?
I'm afraid if I model 4 optimizations in the 'EMP equilibrium', GAMS there is no way to define which ones are the main problems and which one is the auxiliary.
Thank you very much for your help and consideration
Recently I read a paper written by Xuan Liu and Antonio J. Conejo. In this paper, they have 3 minimization problems. to find the equilibria, they converted these 3 optimization problems to their KKT equivalent and then added one auxiliary optimization. altogether, there would be one optimization problem (the auxiliary) along with the KKT of the former three optimizations.
I can model such a system using PATH solver in GAMS like a Mixed Complementarity Problem (MCP) format, but I am wondering if it is possible to use EMP to find equilibria, instead of the equilibrium.
If I model the 3 optimizations in EMP Equilibrium, does GAMS return any first equilibrium it may encounter? or it returns the equilibria?
In many cases working with 'EMP equilibrium' , I have received "other error" message or "Solution found" just by changing the input data! Even sometimes I am sure about the availability of feasible solutions, but still I get "Other error" .is it related to the availability of equilibria or what?
I'm afraid if I model 4 optimizations in the 'EMP equilibrium', GAMS there is no way to define which ones are the main problems and which one is the auxiliary.
Thank you very much for your help and consideration