Editing Utility maximization problem (section)

===== Monotone =====
For a preference relation to be [[Monotone preferences|monotone]]  increasing the quantity of both goods should make the consumer strictly better off (increase their utility), and increasing the quantity of one good holding the other quantity constant should not make the consumer worse off (same utility).

The preference <math>\succcurlyeq</math> is monotone if and only if;

1)<math>(x+\epsilon, y)\succcurlyeq(x,y)</math>

2) <math>(x,y+\epsilon)\succcurlyeq(x,y)</math>

3) <math>(x+\epsilon, y+\epsilon)\succ(x,y)</math>

where  <math>\epsilon</math> > 0