1.1. What is a game in normal form? What is a strictly dominated strategy in a normal-form game? What is a pure-strategy Nash equilibrium in a normal-form game? 1.2. In the following normal-form game, what strategies survive iterated elimination of strictly dominated strategies? What are the pure-strategy Nash equilibria?

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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1.1. What is a game in normal form? What is a strictly dominated
strategy in a normal-form game? What is a pure-strategy Nash
equilibrium in a normal-form game?
1.2. In the following normal-form game, what strategies survive
iterated elimination of strictly dominated strategies? What are the
pure-strategy Nash equilibria?
L
C R
T 2.0 1,1 4,2
M
3,4
1,2 2,3
B
1,3 0,2 3,0
Transcribed Image Text:1.1. What is a game in normal form? What is a strictly dominated strategy in a normal-form game? What is a pure-strategy Nash equilibrium in a normal-form game? 1.2. In the following normal-form game, what strategies survive iterated elimination of strictly dominated strategies? What are the pure-strategy Nash equilibria? L C R T 2.0 1,1 4,2 M 3,4 1,2 2,3 B 1,3 0,2 3,0
$1
1.3. Players 1 and 2 are bargaining over how to split one dollar.
Both players simultaneously name shares they would like to have,
S₁ and 52, where 0 ≤ $1,52 ≤ 1. If $₁ + $2 ≤ 1, then the players
receive the shares they named; if 8₁ + $2 > 1, then both players
receive zero. What are the pure-strategy Nash equilibria of this
game?
Transcribed Image Text:$1 1.3. Players 1 and 2 are bargaining over how to split one dollar. Both players simultaneously name shares they would like to have, S₁ and 52, where 0 ≤ $1,52 ≤ 1. If $₁ + $2 ≤ 1, then the players receive the shares they named; if 8₁ + $2 > 1, then both players receive zero. What are the pure-strategy Nash equilibria of this game?
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