Question

Problem #3: Strictly dominated and non-rationalizable strategies (6 pts) Below, there are three game tables. For each one, identify which strategies are non-rationalizable (if any), and which strategies are strictly dominated (if any). Do this for both players in each game. Note: You don't need to use IESDS or IENBR in this problem: I only want to know which strategies are strictly dominated or non-rationalizable in the games as presented. Rogers Go Rogue Go Legit 2,3 3,4 3,2 5,1 3,1 4,2 Go Rogue Go Legit Stark Retire 0,2 2,0 1,1 Retire Left 4,1 3,3 2,2 Up Level Down Player 2 Center 2,3 3,1 4,2 Right 1,4 2,2 4,3 Player 1 Scream Babysitter Strict Sweet 1-2 2-3 4,-3 3,-1 2-3 3-4 1.4 4.2 CN Brat Whine Flee I I

Answer 1

a..)

Stark: Strategy GO ROGUE: has been strictly dominated by the strategy GO LEGIT.

Hence, it must be eliminated. ( 3, 5, 2) > (2,3,0)

Roger: Retire is strictly dominated strategy. It has been dominated by the strategy GO LEGIT.

b)

Player 1: There is no dominated strategy.

Player 2: CENTER strategy is dominated strategy. It has been dominated by the RIGHT strategy.

( 4, 2, 3) > ( 3,1,2)

c)

Brat: Scream is dominated course of action, it has been dominated by the both CRY and WHINE. It must be deleted.

Babysitter: There is no dominated strategy for babysitter.