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Unformatted text preview: Economics 611 Game Theoretic Microeconomics Spring 2009
Second Exam All Syracuse University policies and procedures concerning academic honesty apply to
"Syracuse University students shall exhibit honesty in all academic endeavors. Cheating in any
form is not tolerated, nor is assisting another person to cheat. The submission of any work by a
student is taken as a guarantee that the thoughts and expressions in it are the student's own except
when properly credited to another. Violations of this principle include: giving or receiving aid in
an exam or where otherwise prohibited, fraud, plagiarism, the falsification or forgery of any
record, or any other deceptive act in connection with academic work. Plagiarism is the
representation of another's words, ideas, programs, formulae, opinions, or other products
of work as one's own either overtly or by failing to attribute them to their true source."
(Section 1.0, University Rules and Regulations)
While homework problems may have been done cooperatively, exams are individual
work. Do not communicate about this exam with anyone except the instructor [x3-2345 or email to [email protected]]. Violation of this rule will result in a grade of 0 for the
exam. Any notices will be sent to you by e-mail; check occasionally. EXPLAIN your answers carefully.
DUE: 9:30 am, Thursday, April 3, in class. Economics 611 Game Theoretic Microeconomics Spring 2009
EXPLAIN your answers carefully. DUE: 9:30 am, Thursday, April 3, in class.
The four problems are each worth 25 points.
1. (Signaling) There are two types, H and L, high and low productivity. èL = 1
and èH > 1. For education level e, and productivity level è, that is, education enters positively into the utility function but in a way that varies
with è. Determine - as functions of èH - the minimum em and maximum eM values
of e that H-types choose as part of a separating signaling equilibrium.
2. (Signaling) There are two types, H and L, high and low productivity. èL = 1
and èH = 2. For education level e, A fraction ë of the workers are H-type. Consider an equilibrium where 1/3 of the
H-types and 2/3 of the L-types are separated and the rest of the workers are
pooled. Determine - as a function of ë - the education levels eL, ep, and eH chosen.
3. (Screening) There are two types, H and L, high and low productivity, with
parameters èL = 1 and èH = 3. For task level t, Productivity depends on task level: Pi = èi + ìt. Determine any separating
4. (Screening) There are two types, H and L, high and low productivity, with
parameters èL = 1 and èH = 3. For task level t, Productivity depends on task level: Pi = èi + t . Determine any separating
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This note was uploaded on 01/13/2012 for the course ECN 611 taught by Professor Kelly,j during the Fall '08 term at Syracuse.
- Fall '08