Ron Holzman’s office hours:
Sunday 15:30-16:30 , Amado 605
Selected Topics in Game Theory (106950), Winter 2017/18:
|Place:||Amado 619||Amado 619|
The course will cover topics in the theory of social choice (voting), with an emphasis on a game theoretic approach to the subject.
1. Social choice functions: efficiency, anonymity and neutrality.
2. The Condorcet paradox.
3. Monotonicity and strong monotonicity.
4. The impossibility theorems of Muller-Satterthwaite and Gibbard-Satterthwaite.
5. Social welfare functions and Arrow’s impossibility theorem.
6. Restricted domains.
7. Exactly and strongly consistent social choice functions.
8. Notions of effectivity for social choice correspondences.
9. The elimination method.
10. The blocking coefficients of an anonymous social choice function.
11. A characterization of anonymous, exactly and strongly consistent social choice functions with no veto power.
H. Moulin, The strategy of social choice.
B. Peleg, Game theoretic analysis of voting in committees.