May 5, 2018

Written by Felix Jen

Game Theory Midterm Review

Notes The notes for respective topics can be found in PDF form below. Dominance and Best Response: PDF Weak Dominance: PDF Rationalizability: PDF Pivot Mechanisms: PDF Nash Equilibrium: PDF Cournot and Bertrand Competition: PDF Mixed Strategies and Nash Equilibrium: PDF Applications of Mixed Strategies: PDF Norms of Fairness and Reciprocity: PDF Extensive Form Games: PDF

Tags:  game theory

Apr 3, 2018

Written by Felix Jen

Dominance and Best Response

Game Theory Basics Definition: Normal Form Game Players $ i \in 1..n $ For every player $i$, $\exists$ a set of strategies $S_i : s_i \in S_i$ $\forall i \land \forall S_i, S = \{s_1..s_n\} \lor S = \{s_i,S_j\}: s_j = \{s_1 .. s_{i-1}, s_{i+1} .. s_n \} $ Notation If there are two players, $i \land j \implies U_i(s_i,s_j) \land U_j(s_j,s_i)$. Note that discussions of utility and strategy choices always take the player in perspective as the first argument and the other players are subsequent arguments.

Tags:  game theory