Description

This model shows how to model an equilbrium consisting of two VIs
one of which has a non-trivial constraint set.

Contributor: Michael C. Ferris, September 2012

Small Model of Type : VI

Category : GAMS EMP library

Main file : simplevi4.gms

$title Another simple VI example (SIMPLEVI4,SEQ=62)

$onText
This model shows how to model an equilbrium consisting of two VIs
one of which has a non-trivial constraint set.

Contributor: Michael C. Ferris, September 2012
$offText

set I / 1 * 2 /;

$macro FUN(I) ord(I)*(x(I) - 1) + 1.5

positive variables x(I);
variables y;
equations f(I), g, h;

f(I)..  FUN(I) =N= 0;
g..     sum {I, x(I)} =G= 1;
h..     x('1') - y =e= 2;

model vi    / f, g, h /;

file myinfo / '%emp.info%' /;
put myinfo 'equilibrium' /;
put 'vi f x g'/;
put 'vi h y'/;
putclose;

solve vi    using emp;