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demonstrate a seeming peculiarity about mixed strategy Nash equilibria. Consider the following game between the Chicago Bears' oense and the Detroit Lions' defense. Payos are the number of yards advanced (positive yards for Chicago are negative yards for Detroit).
Chicago
Detroit
run defense pass defense
run -2,2 5,-5
pass 15,-15 1,1

a. Find all pure strategy Nash equilibria, if any. Then nd the mixed-strategy Nash equilibrium of the game.

b. Now suppose that the Bears improve their run game by bringing Mike Ditka1 out of retirement:
Chicago
Detroit
run defense pass defense
run -2,2 10,-10
pass 15,-15 1,1
Find the mixed-strategy Nash equilibrium of the new game.

c. When running the football becomes a more attractive option for the Bears, do they run more often, or pass more often? Can you explain why?

Econometrics, Economics

  • Category:- Econometrics
  • Reference No.:- M9677039

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