3. A society consists of 3 identical individuals who derive utility from a public good. The public good can be provided at a constant marginal cost of 2. Let x, denote the level of public good provision by i, where i 1,2,3. Let X- x1 + x2 + x3 be the total provision. The net benefit enjoyed by individual i from providing x, units of the public good is given by U(x,, X) -4 ln X-2x, where i=1,2. Is the total provision X under individual optimisation higher or lower than the socially optimal level of provision Xº? Explain the intuition for your result.

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3. A society consists of 3 identical individuals who derive utility from a public
good. The public good can be provided at a constant marginal cost of 2. Let
x, denote the level of public good provision by i, where i=1,2,3. Let X-
x1 + x2 + x3 be the total provision. The net benefit enjoyed by individual i from
providing x, units of the public good is given by
4 In X-2x,
U(x,x)
where i=1,2. Is the total provision X under individual optimisation higher
or lower than the socially optimal level of provision Xº? Explain the intuition
for your result.
4. If the price of a factor of production rises, a profit maximising firm might use
more of that factor. Is this true or false? Explain your answer by drawing com-
parison for consumer choice for a Giffen good.
Transcribed Image Text:3. A society consists of 3 identical individuals who derive utility from a public good. The public good can be provided at a constant marginal cost of 2. Let x, denote the level of public good provision by i, where i=1,2,3. Let X- x1 + x2 + x3 be the total provision. The net benefit enjoyed by individual i from providing x, units of the public good is given by 4 In X-2x, U(x,x) where i=1,2. Is the total provision X under individual optimisation higher or lower than the socially optimal level of provision Xº? Explain the intuition for your result. 4. If the price of a factor of production rises, a profit maximising firm might use more of that factor. Is this true or false? Explain your answer by drawing com- parison for consumer choice for a Giffen good.
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