mss.gms:
Reference:
- Murphy, F H, Sherali, H D, and Soyster, A L, A Mathematical Programming Approach for Determining Oligopolistic Market Equilibrium. Mathematical Programming 24 (1982), 92-106.
- Original source: MSS model from MPECLIB
Point:
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* MPEC written by GAMS Convert at 11/06/01 17:02:09
*
* Equation counts
* Total E G L N X
* 5 1 4 0 0 0
*
* Variable counts
* x b i s1s s2s sc si
* Total cont binary integer sos1 sos2 scont sint
* 6 6 0 0 0 0 0 0
* FX 0 0 0 0 0 0 0 0
*
* Nonzero counts
* Total const NL DLL
* 26 1 25 0
*
* Solve m using MPEC minimizing objvar;
Variables objvar,x2,x3,x4,x5,x6;
Positive Variables x2,x3,x4,x5,x6;
Equations e1,e2,e3,e4,e5;
e1.. - (0.142653871201291*x2**1.83333333333333 + 10*x2 - x2*(5000/(x2 + x3 +
x4 + x5 + x6))**1) + objvar =E= 0;
e2.. (0.2*x3)**0.909090909090909 - (5000/(x2 + x3 + x4 + x5 + x6))**1 + x3*(
5000/(x2 + x3 + x4 + x5 + x6))**1/(x2 + x3 + x4 + x5 + x6) =G= -8;
e3.. (0.2*x4)**1 - (5000/(x2 + x3 + x4 + x5 + x6))**1 + x4*(5000/(x2 + x3 + x4
+ x5 + x6))**1/(x2 + x3 + x4 + x5 + x6) =G= -6;
e4.. (0.2*x5)**1.11111111111111 - (5000/(x2 + x3 + x4 + x5 + x6))**1 + x5*(5000
/(x2 + x3 + x4 + x5 + x6))**1/(x2 + x3 + x4 + x5 + x6) =G= -4;
e5.. (0.2*x6)**1.25 - (5000/(x2 + x3 + x4 + x5 + x6))**1 + x6*(5000/(x2 + x3 +
x4 + x5 + x6))**1/(x2 + x3 + x4 + x5 + x6) =G= -2;
* set non default bounds
x2.up = 150;
x3.up = 150;
x4.up = 150;
x5.up = 150;
x6.up = 150;
* set non default levels
x2.l = 75;
x3.l = 75;
x4.l = 75;
x5.l = 75;
x6.l = 75;
* set non default marginals
Model m / e1,e2.x3,e3.x4,e4.x5,e5.x6 /;
m.limrow=0; m.limcol=0;
$if NOT '%gams.u1%' == '' $include '%gams.u1%'
Solve m using MPEC minimizing objvar;
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