3. Consider an economy with two individuals, Eve and Adam. There are two goods-apples(A) and figs (F). Eve has fixed-coefficient preferences u(A, F) = min. where the superscript denotes e for Eve. Eve has an endowment of 20 apples and nothing else. Adam owns only labour, and consumes only apples, thus

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3. Consider an economy with two individuals, Eve and Adam. There are two
goods-apples(A) and figs (F). Eve has fixed-coefficient preferences
{}
where the superscript denotes e for Eve. Eve has an endowment of 20 apples and
nothing else. Adam owns only labour, and consumes only apples, thus
ua (A, F) = A.
u(A, F) = min
Note that Adam gets no utility from leisure, so he supplies labour inelastically.
Labour (L) is needed to produce figs, using the technology
F = L.
Suppose initially the endowment of Adam is K units of labour.
(a) Compute algebraically the competitive equilibria of this economy for both
K< 20 and K ≥ 20.
(b) Depict the solutions for each case graphically.
(c) Now suppose the endowment of Adam goes up to K' > K. Is it possible that he
becomes worse off?
Transcribed Image Text:3. Consider an economy with two individuals, Eve and Adam. There are two goods-apples(A) and figs (F). Eve has fixed-coefficient preferences {} where the superscript denotes e for Eve. Eve has an endowment of 20 apples and nothing else. Adam owns only labour, and consumes only apples, thus ua (A, F) = A. u(A, F) = min Note that Adam gets no utility from leisure, so he supplies labour inelastically. Labour (L) is needed to produce figs, using the technology F = L. Suppose initially the endowment of Adam is K units of labour. (a) Compute algebraically the competitive equilibria of this economy for both K< 20 and K ≥ 20. (b) Depict the solutions for each case graphically. (c) Now suppose the endowment of Adam goes up to K' > K. Is it possible that he becomes worse off?
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