Р 1-p Kicker Goalie Left Right Left 0,1 1,0 -q Right 1,0 0,1 t are p and q in a mixed-strategy equilibrium? (Hint: payoff of the kicker when playing left is Op + (1 − p); n playing right is p + 0(1 − p). Payoffs should be equal since the kicker should be indifferent.) a) 1/2; 3/4. ixed

Р 1-p Kicker Goalie Left Right Left 0,1 1,0 -q Right 1,0 0,1 t are p and q in a mixed-strategy equilibrium? (Hint: payoff of the kicker when playing left is Op + (1 − p); n playing right is p + 0(1 − p). Payoffs should be equal since the kicker should be indifferent.) a) 1/2; 3/4. ixed

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Question

2. Consider the penalty kick game with a very accurate kicker:
mixed
р
1-p
Kicker Goalie
Left
Right
q
Left
0,1
1,0
1-q
Right
1,0
0,1
What are p and q in a mixed-strategy equilibrium? (Hint: payoff of the kicker when playing left is Op + (1 − p);
when playing right is p + 0(1 − p). Payoffs should be equal since the kicker should be indifferent.)
O a) 1/2; 3/4.
Ob) 3/4; 1.
O c) 1/2; 1/2.
d) 3/4; 3/4.

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