Choice Under Uncertainty
In the expected utility theory of von Neumann and Morgenstern, four axioms together imply that individuals act in situations of risk as if they maximize the expected value of a utility function. One of the axioms is a version of the IIA axiom:
- If, then for any and ,
where p is a probability and means that M is preferred over L. This axiom says that if one outcome (or lottery ticket) L is considered to be not as good as another (M), then having a chance with probability p of receiving L rather than N is considered to be not as good as having a chance with probability p of receiving M rather than N.
Read more about this topic: Independence Of Irrelevant Alternatives
Famous quotes containing the words choice and/or uncertainty:
“In this choice of inheritance we have given to our frame of polity the image of a relation in blood; binding up the constitution of our country with our dearest domestic ties; adopting our fundamental laws into the bosom of our family affections; keeping inseparable and cherishing with the warmth of all their combined and mutually reflected charities, our state, our hearths, our sepulchres, and our altars.”
—Edmund Burke (1729–1797)
“It was your severed image that grew sweeter,
That floated, wing-stiff, focused in the sun
Along uncertainty and gales of shame
Blown out before I slept. Now you are one
I dare not think alive: only a name
That chimes occasionally, as a belief
Long since embedded in the static past.”
—Philip Larkin (1922–1986)