-
-
The Three Parts of this Tutorial
-
-
-
A Single-Agent Sequential Decision Problem
-
Representation and Strategies in a Sequential Game
-
-
-
Non-Credible Threats
-
Sub-Game Perfect Equilibria
-
-
-
The Centipede Game
-
-
-
Cooperation in the Infinitely Repeated Prisoner's Dilemma
-
-
-
Framing Bias
-
Ultimatum Game
-
-
-
The Level-k Model
-
Level-k in the Beauty Contest Game
-
-
-
Solving Static Games with Gambit
-
Solving Dynamic Games with Gambit
-
-
2.2 Representation and Strategies in a Sequential Game » Quiz Solution
In the game depicted below, how many strategies does player 2 (P2) have?
(a) 2
(b) 4
(c) 8
(d) 16
Explanation: Remember a strategy is an "if" statement that specifies what a player would do for all possible observations. Therefore one of player 2's strategies is
"If player 1 plays A, then play L;
if player 1 plays B, then play R;
if player 1 plays C, then play R;
if player 1 plays D, then play L."
Listing all strategies in this way shows that there are 16 strategies for player 2.