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Game Theory

Prof. Salvatore Modica

Syllabus

Class material

The coach problem (from Dixit-Nalebuff Thinking Strategically)

Rubi Proposition 22.2
Mixed extension and Rubi Lemma 33.2
Mixed extension of zero-sum games
The bus game
A two-by-two simple game (hiring, from Gibbons)
A couple of exercises on normal form games by Joel Watson
The penalty game
Li Calzi exercise n.4.8 p.51 (last bit)
Battleships (based on Binmore's Fun and Games)
A voting game

Examples of correlated equilibria
Clarifications on correlated equilibrium

Definition of game tree gives equivalent definition of extensive form game
A bank deposit game
Three-way duels (or: the games of your life, Dixit-Nalebuff)
Fairness (Fehr-Schmidt-QJE1999)

Matching pennies with spying (Blackwell-Girshick)
Perfect Bayesian Equilibrium from MWG (ignore the word "weak")
Example of sequential equilibrium
More examples of PBE and sequential equilibria with solutions

Preliminaries on discountijng flows
Long Run Cooperation in oligopoly

Bankruptcy Solutions (Peyton Young in Equity)
Basic points about Core and Shapley Value
The bankruptcy game
The airport (or elevator) game
The heritage game

More notes on games and decisions

Pareto Optima of the classical Tragedy of the Commons

Texts

Exams

20th January 2017, 26th January 2018