Willingness to Pay
Interpret Demand as Willingness to pay for next unit

Area under demand is total willingness to pay.

Exact money measuresEquivalent and Compensating variation
Could make consumer better off by lowering prices from p0 to p1. An equivalent way to make better off would be to give money.
The equivalent variation to a price decrease from p0 to p1 is the amount of money that makes the consumer just as well off as if prices had decreased from p0 to p1.

The compensating variation to a price decrease from p0 to p1 (not pictured) is the amount of money that, when subtracted from the consumers income, leaves the consumer just as well off at price p1 as he would have been with his original income at p0.
Compensatingprice decrease better off, remove income back to orginal level of utility
Willigs theorem: equivalent and compensating variation bound consumer surplus.
Travel Cost: Should Mineral King be a Ski Area?
(Krutilla and Fisher. Economics of Natural Environments. Johns Hopkins University Press. Baltimore. 1975. pp:189-218.