By Erik Angner
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Extra resources for A Course in Behavioral Economics
Hint two: if you want to establish a proposition of the form --. p, you typically want to begin by assuming the opposite of what you want to prove for a proof by contradiction; that is, the first line would read "1. q, which would permit you to complete the proof. 21 Vac ations Suppose that you are offered two vacation packages, one to California and one to Florida, and that you are perfectly indifferent between the two. Let us call the Florida package f and the California package c. So f "' c.
X >- Z The last two exercises illustrate some potentially problematic implications of the theory that we have studied in this chapter. Both are classics. '' i' I I : I I , I t I I I ' ·~ ,. ll(i)-(iii) for examples). A proof is a sequence of propositions, presented on separa te lines of the page. The last line of the proof is the proposition you intend to establish, that is, the conclusion; the lines that come before it establish its truth. The conclusion is typically preceded by the symbol : ..
This way, two bundles that fall on the same curve will be associated with the same utility, as they should be. Two bundles that fall on different curves will be associated with different utilities, again as they should be. Of course, higher numbers will correspond to curves that are more strongly preferred. For a person who likes apples and bananas, 11 1 < 11 2 < u 3 • How does utility relate to behavior? Remember that you choose rationally insofar as you choose the most preferred item (or one of the most preferred items) on the menu.