23491 - Quantitative Methods

Learning outcomes

Basic notions of fair division problems and methods.

Course contents

0. Fair division problems and methods. Fair division with indivisible objects.

1. Divide and choose. Adjusted winner.

2. Knaster's sealed bids method.

3. Bidding for envy freeness.

4. Applications

Readings/Bibliography

S.J. Brams, A.D. Taylor, "Fair division", Cambridge University Press, 1996, Capp. 3 - 5 (complementary)

C.-J. Haake, M.G. Raith, F.E. Su, "Bidding for envy-freeness", Social Choice and Welfare, 19 (2002) (complementary)

F. Klijn, "An algorithm for envy-free allocations in an economy with indivisible objects and money", Social Choice and Welfare, 17 (2000) (complementary)

M.G. Raith, "Fair negotiation procedures", Mathematical Social Sciences, 39 (2000) (complementary)

D.W. Boyd, "On the application of the Adjusted Winner conflict resolution methodology to divorce cases: an introduction for forensic economists", Litigation Economics Review 5 (2002)

S.J. Brams, M.S. Kulikov, "Resolving social issues in a merger: a fair division approach", New York University, Economic Research Report RR 98-13, 1998

https://iol.unibo.it/course/view.php?id=31460

Teaching methods

Classroom lessons.

Assessment methods

Written test.

Graduation grid of marks:

- 18-23: sufficient preparation and ability to analyze but relating to a limited number of topics covered in the course, use of an overall correct language;
- 24-27: technically adequate preparation but with some limits with respect to the topics covered, good operational skills, even if not particularly articulated, expressed in correct language;
- 28-30: very good knowledge of a large number of topics covered in the course, good operational and critical skills, high-level usage of specific terminology;
- 30L: excellent and very in-depth and exhaustive knowledge of the topics covered in the course, critical analysis and connection skills, very high-level usage of specific terminology.

Teaching tools

Further recommended readings suggested during the lessons, including slides in italian.

Office hours

See the website of Corrado Corradi