The game of Chicken is played by two teens who speed toward each other on a single-lane road. The first to veer off is branded the chicken, whereas the one who does not veer gains peer-group esteem. Of course, if neither veers, both die in the resulting crash. Payoffs to the Chicken game are provided in the following table.   Team 2   Veer Does not veer Team 1 Veer 2, 2 1, 3 Does not veer 3, 1 0, 0 The first payoff number is for Teen 1 and the second number is for Teen 2.  a) Does any of the players has a dominant strategy? b) Find the pure-strategy Nash equilibrium or equilibria. c) Suppose the game is played sequentially. Find the Nash equilibrium.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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  1. The game of Chicken is played by two teens who speed toward each other on a single-lane road. The first to veer off is branded the chicken, whereas the one who does not veer gains peer-group esteem. Of course, if neither veers, both die in the resulting crash. Payoffs to the Chicken game are provided in the following table.

 

Team 2

 

Veer

Does not veer

Team 1

Veer

2, 2

1, 3

Does not veer

3, 1

0, 0

The first payoff number is for Teen 1 and the second number is for Teen 2. 

a) Does any of the players has a dominant strategy?

b) Find the pure-strategy Nash equilibrium or equilibria.

c) Suppose the game is played sequentially. Find the Nash equilibrium. 

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