TOPICS IN GAME THEORY


Suggested Topics.

Nash Bargaining [Neil Girdhar]
J. Nash, The bargaining problem, Econometrica, Vol. 18, No. 2, pp.155-162, 1950.

Subgame-Perfection
R. Selten, Reexamination of the perfectness concept for equilibrium points in extensive games, International Journal of Game Theory, Vol. 4, Issue 1, pp25 -55, 1975.

The Core [Sara Froehlich]
H. Scarf, The core of an n-person game, Econometrica, Vol. 35, pp.50-69, 1967.

Behavioural Game Theory [Jin Xing and Chatavut Viriyasuthee]
J. Goeree and C. Holt, Ten little treasures of game theory and ten intuitive contradictions, American Economic Review, 91, pp1402-1422, 2001.
A. Tversky and D. Kahneman, Judgment under uncertainty: heuristics and biases, Science, 185, pp1124-1131, 1974.

Social Choice Theory [Peter Sloan]
K. Arrow, Social Choice and Individual Values, Yale University Press, 1951.
Gibberd, Manipulation of voting schemes: a general result, Econometrica, Vol. 41, pp.587-601, 1973.
M. Satterthwaite, Strategy-proofness and Arrow's condition: existence and correspondence theorems for voting procedures and social welfare functions, Journal of Economic Theory, pp187-217, 1975.

Mechanism Design [Athena Kardehi Moghaddam and Ehsan Khosrowshahi Asl]
W. Vickrey, Counter-speculation, auctions and competitive sealed tenders, J. Finance, pp8-37, 1961.
T. Groves, Incentives in teams, Econometrica, pp.617-631, 1973.

Revenue Equivalence Theorem [Manjinder Kaur]
R. Myerson, Optimal auction design, Mathematics of Operations Research, 6(1), 58-73, 1981.

Utility and Scales [Hariharan Natanasihamani]
J. von Neumann and O. Morgenstern, Theory of Games and Economic Behaviour, Princeton University Press, 1944.
J. Barzilai, On the mathematical foundations of economic theory, preprint, 2007.

Algorithms for finding Nash Equilibria [Ethan Kim]
C. Lemke and J. Howson, Equilibrium points of bimatrix games, SIAM Journal of Applied Mathematics, 12, pp413-423, 1964.

Complexity of finding Nash Equilibria [Bundit Laekhanukit and Paul Tang]
C. Daskalakis, P. Goldberg and C. Papadimitriou, Computing a Nash equilibrium is PPAD-complete, to appear SIAM Journal on Computing.

Bounded Rationality [Andie Sigler]
H. Simon, A behavioral model of rational choice, Psychological Review, 63, pp129-138, 1955.