param N := 2;

var x{1..N};

minimize f:
x[2];

subject to cons1:
-2*x[1]^2 + x[1]^3 + x[2] >= 0;

subject to cons2:
-2*(1-x[1])^2 + (1-x[1])^3 + x[2] >= 0;

data;
var x:=
1	0
2	0;

solve;

display x;