Timed Assessment
\n2022-2023
\nAdvanced microeconomics
\nThe Assessment is 2 pages and there are seven questions in whole. Reply all questions.
\nNotation is normal. The place supplied, comply with the notation given. In any other case, outline your
\nnotation.
\nThe primary 4 questions are quick reply questions. The utmost phrase restrict for these 4
\nquestions is strictly 200 phrases every. These questions are value 10 marks every.
\nThe remaining three questions are issues. You’ll want to present all steps in computations,
\nand clarify your steps. Particular person marks for the components are indicated in brackets.
\nYou might be allowed to handwrite mathematical options and draw diagrams the place related, and
\ninsert these as scanned photos in your solutions. All the things else must be typed. Phrase
\npaperwork and PDFs are each acceptable.
\nQuestion Assignment 1: Clarify why the next assertion ought to maintain:
\n\u2202v(p, w)
\n\u2202pk
\n= zero for any good ok provided that \u2202v(p, w)
\n\u2202pi
\n6= zero for good i the place pk, pi zero [10 marks]
\nQuestion Assignment 2: Focus on whether or not we will derive the Pareto set of a two-agent two-good pure alternate financial system
\nstraight from brokers\u2019 provide curves. [10 marks]
\nQuestion Assignment three: What’s the benefit of assuming homothetic preferences? Focus on. [10 marks]
\nQuestion Assignment four: Focus on how duality idea will help policymakers with reference to provide aspect economics. [10
\nmarks]
\nQuestion Assignment 5: Take into account a subsistence financial system the place solely two farms function. Each farms produce similar
\nwheat utilizing labour as the one issue of manufacturing. Know-how of those farms are given as
\nq1 = l
\nzero.5
\n1 \u2212
\n1
\nthree
\nq2
\nand
\nq2 = l
\nzero.5
\n2 \u2212
\n1
\nthree
\nq1
\nthe place q1 and q2 are respective outputs of the farms with l1 and l2 the respective models of employees
\nthey rent. Assume that the wheat market is aggressive. The worth of wheat is 1 whereas value
\nof labour is zero.5.
\nDr Gunes Bebek
\n2
\na. Assuming the farms owned by completely different landlords, calculate their equilibrium ranges of
\noutputs and earnings. [5 marks]
\nb. Now assume the farms function below widespread possession. Calculate earnings. [5 marks]
\nc. Focus on the outcomes you acquire from components b and c. [10 marks]
\nQuestion Assignment 6: Take into account a two-agent two-good barter financial system. Agent 1 solely cares about good 1, and agent 2
\nsolely cares about good 2. There’s only one unit of fine 1, and a pair of models of fine 2 within the financial system,
\nwhich is distributed equally between the brokers whereas agent 1 owns the one unit of fine 1 in
\nthe financial system.
\na. Compute and clarify the Pareto optimum allocations. [5 marks]
\nb. Compute and clarify the equilibrium costs and allocations. [10 marks]
\nc. How would your solutions to components a and b change if agent 1 shared half of his good 1 with
\nagent 2? Focus on. [10 marks]
\nQuestion Assignment 7: Take into account the next 2-consumer, 2-good alternate financial system:
\nu
\n1
\n(x
\n1
\n1
\n, x1
\n2
\n) = (x
\n1
\n1x
\n1
\n2
\n)
\n2
\nu
\n2
\n(x
\n2
\n1
\n, x2
\n2
\n) = ln x
\n2
\n1 + 2 ln x
\n2
\n2
\nR
\n1 = (18, four)
\nR
\n2 = (three, 6).
\na. Characterise the Pareto set as fully as doable. [5 Marks]
\nb. Compute the Walrasian equilibrium allocation and confirm that it’s within the core. [10 Marks]
\nDr Gunes Bebek<\/p>\n","protected":false},"excerpt":{"rendered":"
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