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Budget Constraints qStart to Build a Theory of Consumer Choice ...

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Microeconomics<br />

Dr. Dmitri M. Medvedovski<br />

U(X1, X2)<br />

X2<br />

U1<br />

U2<br />

X1<br />

It is impossible for indifference curves <strong>to</strong> cross each other because that<br />

would violate the axiom <strong>of</strong> transitivity. Prove follows.<br />

A<br />

C<br />

B<br />

One way <strong>to</strong> solve it is <strong>to</strong> use Mr. Lagrange<br />

n<br />

1<br />

, X<br />

2,<br />

X<br />

3...<br />

X<br />

n<br />

) + ( M −∑<br />

Pi<br />

X<br />

i<br />

)<br />

i=<br />

1<br />

L = U ( X<br />

λ<br />

Page 3 out <strong>of</strong> 7 Lec. 5

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