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ECON20022 Microeconomics
创建日期：2024-05-10 14:56:56
所属分类：经济Economics
标签： ECON20022
Microeconomics

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ECON20022

Microeconomics

 Answer the Question in Section A and TWO QUESTIONS in Section B
 Section A counts for 40% of the exam mark; Section B counts for 60 % of
the exam mark.
 You are required to submit typed responses. Your exam responses will not be
accepted if it is not typed. You can include images of algebra or graphs if you
wish.
 Where relevant, questions include word limits. These are limits, not targets.
Excellent answers can be shorter than the word limit. If you go beyond the word
limit the additional text will be ignored. Where a question includes a word limit
you HAVE to include a word count for your answer (excluding formulae). 
 Candidates are advised that the examiners attach considerable importance to
the clarity with which answers are expressed
 You must correctly enter your registration number and the course code on your
answer.

P.T.O
2 of 5 ECON20022



Section A (This section counts for 40% of the exam mark)
Question 1
a) Consider a two-person, two-commodity, pure-exchange economy: consumer A
and consumer B consume only two goods, X and Y, available in the economy.
Assume A’s preferences are described by =
and B’s preferences are
described by =

, where , , , and are the consumption of X and
Y by consumers A and B, respectively. Also consider that + = 0 and
+ = 0, where 0 and 0 are aggregate endowments. Derive the contract
curve as an implicit function of and . What condition on the coefficients,
and , will ensure that the contract curve is a straight line? [Word limit: 100
word] [ 15 marks]

b) Consider two representative individuals, individual A and individual B, in a pure
exchange economy with two goods. Individual A has an advantageous position
in compared to B in terms of initial allocations of resources. Using the First
Welfare Theorem and with an Edgeworth box diagram, explain intuitively how
this economy could still achieve the Pareto efficient exchange equilibrium,
assuming a competitive market and no other distortions in the market. Such an
equilibrium may not be desirable (e.g. not equitable). Explain (intuitively and
with an Edgeworth box diagram) the role of the Second Welfare Theorem in
making this Pareto equilibrium more equitable. [Word limit 200] [15 marks]

c) Discuss whether and how the Coase mechanism (as proposed in the article
below and as discussed in the lecture) can be useful in reality by providing one
real-world example. [Word limit 300] [10 marks]
Coase, R. (1960). The Problem of Social Cost. The Journal of Law and
Economics 3: 1-40.

Please Turn Over

3 of 5 ECON20022

Section B
(Answer TWO from this section. Section B counts 60% of the exam mark.)
Question 2
Consider the following Public good game. There are 4 players in a group and each
player has £y as an endowment. Player i’s pay-off function is given by: = − +
∑
4
=1 , where is player i’s voluntary contribution to the public good, is the
marginal per capita return from a contribution to the public good and 0 < < 1 < 4.
Following rational choice theory, if it is common knowledge that every player is rational
and self-interested and they can do backward induction, the dominant strategy of each
player is to give zero to the public good (i.e. = 0). Suppose, a researcher conducts
a finitely repeated anonymous public good game with the randomly chosen players in
each group over all rounds and the same pay-off function described above.

a) What results would the researcher expect based on the results from the
existing literature (e.g. Fehr and Gächter 2000, see reference below)?
[Word limit: 100] [5 marks]
b) Explain intuitively whether an institution with ‘punishment’ (i.e. punishing
non-cooperative behaviour) can improve the outcome? Briefly state how
one can conduct an experiment to test this. [Word limit: 500] [15 marks]
c) Explain intuitively, with example, whether ‘leadership’ of individuals can help
improve contributions to a public good. [Word limit: 300] [10 marks]

Question 3
a) As we discussed in the lecture, Vickrey auction (1961) is demand revealing as
each rational bidder’s dominant strategy is to bid their true value. However,
experimental studies document overbidding behaviour as bidders could
increase the probability of winning the auction by overbidding with very little
additional costs to them (as they pay the second highest bid). Some people
criticise such results from lab experiments as they claim that the participants
are not sincere in choosing their actions in the lab because they receive the
monetary endowment for free. To address such a concern, propose an
experimental design that can examine bidders’ sincere biding behaviour, given
induced and independent private values and Vickrey auction in the lab. [Word
limit: 400] [15 marks]

Please Turn Over

4 of 5 ECON20022

b) Write a brief summary of the following paper (see reference below). In the
summary, you may want to include the main research questions, motivation,
research designs, and main findings of the paper. Next explain how the findings
of this paper are relevant/useful in reality by providing one real-world example
(choose a different example than the one used in the paper). [Word limit 400]
[15 marks]

Fehr, E. and Leibbrandt, A., 2011. A field study on cooperativeness and
impatience in the tragedy of the commons. Journal of public
economics, 95(9-10), pp.1144-1155.

Question 4.
Consider a model of contract design under asymmetric information. A regulator (or
policy maker) wants to provide a subsidy, by designing a voluntary incentive
contract, to a firm (who is a regulated monopolist) for exerting effort to reduce
pollution from its production process. The regulator is the principal and the firm is an
agent.
A firm’s utility is: = − (),
where
 () is the cost function of taking efforts with ′(. ) > 0 and ′′(. ) > 0
 is the monetary transfer from the regulator to the firm
 assume the firm has social preferences toward environmental protection and
captures such social preferences ( > 0)
 define as the firm’s intrinsic valuation of money (i.e. how much a firm loves
money over environment)
 a firm with low means that the firm’s cost of per unit of exerted is less than
a firm with high
 is a firm’s private information

A firm’s effort has social value and social cost = − , where is the
efficiency parameter of the firm and is effort. The efficiency parameter, , is
fixed and common knowledge. The regulator observes the cost ex-ante.
The regulator cannot observe . She knows the firm is one of two types depending
on two levels of . Assume a firm can be one of two types depending on their
social preferences toward environmental protection, ∈ (, ), and < .
The consumers’ value, if the firm exerts effort, is, = − (1 + )( + ), where
> 0 is the social value of public funds used by the regulator to compensate the
firm.
Please Turn Over
5 of 5 ECON20022

END OF EXAMINATION

A firm suffers a monetary loss when it exerts efforts to reduce pollution. It will
voluntarily participate if it gets monetary transfer from the regulator to compensate
its loss. The regulator is going to offer up a monetary transfer, t, to the firm in
exchange for effort by the firm, i.e. she designs a contract to maximize social
welfare from pollution reduction subject to the firm’s participation constraint.
Social welfare is the utility of private firms and consumers, and cost of monetary
compensation scaled by social value of public funds.
a) Set up the objective function of the regulator and the constraint under
complete information about and . Show and explain the optimal
conditions. [Word limit: 100 words] [10 marks]
b) Under asymmetric information, however, the regulator only knows that a firm
could be one of two types but does not know which type it is. Construct and
explain the constraints that the regulator must consider under asymmetric
information. Compare the constraints with the complete information case
and explain intuitively. Using the constraints, identify the volume of
‘information rent’, if any. Give a roadmap how to solve the problem (no need
to solve, you need to explain the steps). [Word limit: 250 words] [20
marks]


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MGMTMFE 405 25579 1ECE 273 M122 COMP4434 1ELEC ELEC5620M STAT0010 BFF2401 MXB361 MATH3811 CS330 CMT307 FIT1033 CptS 583 UP 431 MATH6005 AF5343 CS2435 ECOM30002 ES50061 CS 2506 ECMT6002 CODE 00099F MT4539 ESSAY ICM317 MATH1231 MFIT5010 BMA547 MATH334 CIVL2201 MATH39032 T-04 CIVE97119 EMESTER CAB302 CAB301 59PM STAT802 ISYS3412 RM3 COSC 2123 AcF 311 MATH2022 1FINAL 4CCS1PHC ICM 142 ENVS3023 Math 4023 I1 ACSE8 FIN B385F CS-275 STA 4109-01 A31021 EE140 MT1 EE124 ECO-6004B Inf2-IADS CS126 IS2184 UL18 MATH5092 ECOM009 COMP 6211 ELEC202 MKT3019 IAB230 FIT5046 584-S21 COMP3210 CO250 A29401 MATH 136 MGT6174 ECMT6007 DATA2001 MAT 443 MATH10222 PHDE0071 ELE00123M COSC1295 MAT00045H MATH32032 1004GRC MAS223 COMP10001 DATA3404 CIVL2110 STAT2008 FNCE10002 EEE6431 COM6515 COMP9120 NBS8185 ECTE942 ECON 405 MATH314301 STAT 2011 COMPSCI 350 COMP20007 CMPSC-132 ECON5002 STA 35 MTH6108 FIT5147 MTH6150 100C FINA 5260 DESC9115 ECON4998 NBS8257 GMM ECON 6070 BSA2 ECE599 STATS 102B STA120 INFS601 BFC3241 MATH20602 COMP532 MAS275 COMP5318 COMP4002 FIT5086 MAST20004 FIT3152 FIT5129 CIS2380 CS521 COMP 1005 EECMS CITS5501 ECE 462 ECON 6002 ENG 4051 CSC 648 CMT654 MECHENG 713 PHYS1002 AMME 2000 FP0060 DDES3200 MECHENG 743 BINF90002 FIT2081 ISYS90081 ELECTENG 722 BUS 360 ECOS3010 BUS2810 ETF2100 ENG2048 STAT5002 COMP2017 CEME 2003 MATS3004 COMP9319 PHYS1001 COMP5349 AMME2261 COMP-381 FIT3173 COSC2757 ENG4025 QBUS2820 COMP9414 MATH2021 EOSC118 MFIN6690 PMATH 321 CSE-141L MATH575A COMPSCI5002 COMP1511 management comp2123 FINS3616 COMP 3331 COMS30034 DTSC 71 AcF 702 AcF702 DTSC71 MAT021 ELE8083 ACFI213 EG-127J 127J FIT5163 FIT2001 ELE00113M CMT310 CS 245 ENGL 1101 MTH6115 EE497 CS 325 Math 124A MTH5130 MBA502 MGT 5380 ARCH 1261 F033800 20LLP109 ELE4009 FINANCIAL COMP3331 Computer ECE4179 20T3 COMP9311 COMP9311 UNSW MFIN6210 ACCT 5930 EE590 ENG2029 ECO100 SIT315 ACCT3610 COMP3600 STK2100 FIT2004 COMP30020 ACTL1101 Stat 101B BANA 200 COSC2473 ENGG1400 AI COMP90043 MMF 1914H PHYS 127 CS584 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MOEC0021 STA 106 ENGG 1300A ENGG 1300 OLET1139 STAT 3503 STAT 206 FEM11149 ELEN 4720 COMP20003 SOLA1070 CS574 C11CS LINB29H3 MAST90083 ECON7200 STAT 610 LINB29 DSM-5 COMP3161 EEEN40010 MATH 4431 K353 STA 3386 IERG4300 COMS W4167 ENG5298 AMME 2302 CS3910 COMPSCI 320 STATS 369 GR5242 COSC 328 CSCI435 MGTS1301 INFS2200 COMP3900 CIS 375 Module AE03 COMP3121 CS260 HAM503 MGMT5050 INT3075 COSC 285 GEOL0029 GEGE2X01 STAT1201 MATH1061 MMF1941H STAT 5060 CS 520 COMP 4320 MSIN0104 000T FINS3648 ECMT2160 ECON4003 Phys 129L CSE 142 CS 3130 MGEB01 EECS 340 Finance (20443/20444) ECMM149 COMP5310 EEEN60180 CSC 111 AT2 CSCI 4430 STAB57 MA/CSC 427 MATH322 D100 CSCI544 CITS3004 CI6227 CSE 565 APCO 1P01 852L1 ELEC S411F COMP3207 STATS330 ECON7530 FIT5149 CSI4104 CMPT 371 COMP201 SEHS4696 FI4003 MATH6182 CG1 WS MATH401 MGT 205 QTM 110 COMP 0137 MACE12201 FIT5210 ECE 544 BISM7206 HUDM 6055 ECON3203 STATS 210 MSCI 570 MATH6173 COMPSCI4039 Accounting COM3503 AOE2024 ECON213 PSYC10004 Control Data 100/200A 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ACCOUNTING BUSS1040 CHEM 181 MAT136H1 GY 6183 COMP3170 AGRI90089 PHYSICS 1002 ECON10003 IEOR E4004 ACS61012 MATH 40550 MKTG2113 TELE4653 ENSC1004 ECE 232E MK726 MTRX2700 SHEET 3 CSCA08 COMP30027 Math 2XX3 statistic MMAN3200 BISM7213 ECMM109 ECON 2022 FNCE 20005 GR5067 CSCB09 ME 3017 CS 5100 PHYS 2903 COMS 4771 COMP222 COMP 1046 CSC148H1 ISYS2038 FINS2615 OT5206 COMP2048 A6 MECH5770M MA826/20 CMPT 726 STA457 INFS6071 INFS588 integral ECON 216 IRDR 0017 MA323 PA 15213 PSYC2001 ENV222 Statistics ACCT5930 ACCT12 LAND2121 ME 5405 COMM1180 TELE3113 A7 ECE 568 ACCT2019 INFS1200 ENGG1340 CS 1400 ASST3 FINM7409 SWEN30006 INFO2222 FIN20150 SOSS1000 CSSE7231 FINS5513 COMS3200 CECN 702 ECON4060H MN3515 HW2 PSYA02H3 ECON 2112 COMP90051 CS 1652 MA30059 AF1605 MKTG7501 ECO-6003B COM4521 CTM ECON3350 COMP 3804 ELEC9762 BISM 7255 ST22 MATH20014 MNE3122 COMP343 MATH5165 ELE7029 ENGR30002 SEEM3500 ECON7350 RISK5002 FINM7405 COMP90059 MOS 3320B STAT 431 BISM7221 MATH3014 MTH783P EBA 35302 ACS133 BUS2206 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