Editing Ordinal utility (section)

== Quasilinearity ==
When the MRS depends on <math>y_0</math> but not on <math>x_0</math>, the preference relation can be represented by a [[quasilinear utility]] function, of the form
:<math>v(x,y)=x+\gamma v_Y(y)</math>
where <math>v_Y</math> is a certain monotonically increasing function. Because the MRS is a function <math>\lambda(y)</math>, a possible function <math>v_Y</math> can be calculated as an integral of <math>\lambda(y)</math>:<ref name="PruzanJackson1963">{{cite journal | url=https://tidsskrift.dk/index.php/ledelseogerhvervsoekonomi/article/view/28451/54967 | title=On the Development of Utility Spaces for Multi-Goal Systems | author=Peter Mark Pruzan and J. T. Ross Jackson | journal=Ledelse og Erhvervsøkonomi/Handelsvidenskabeligt Tidsskrift/Erhvervsøkonomisk Tidsskrift | year=1963}}</ref><ref name=KeeneyRaiffa1993/>{{rp|87}}
:<math>v_Y(y)=\int_{0}^{y}{\lambda(y') dy'}</math> 
In this case, all the indifference curves are parallel – they are horizontal transfers of each other.