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The following is a payoff matrix showing profit in millions of dollars when two companies simultaneously decide on various advertising budgets ($1 million, $2 million, or $3 million): Pizza Hut $1 mill $2 mill $3 mill $1 mill $185 / $230 160 / 225 135 / 240 Papa Johns $2 mill 210 / 225 170 / 210 145 / 215 $3 mill 200 / 195 175 / 200 140 / 210 a

Economics Dec 13, 2020

The following is a payoff matrix showing profit in millions of dollars when two companies simultaneously decide on various advertising budgets ($1 million, $2 million, or $3 million): Pizza Hut $1 mill $2 mill $3 mill $1 mill $185 / $230 160 / 225 135 / 240 Papa Johns $2 mill 210 / 225 170 / 210 145 / 215 $3 mill 200 / 195 175 / 200 140 / 210 a. In the first round of strategy elimination (when all three possible budgets are under consideration), which ad budget would the companies exclude? b. After the first round of elimination (previous question), would either company make a second-round elimination? c. What would be the likely outcome of this simultaneous advertising decision (i.e. what ad budget would each company end up choosing)?

Expert Solution

A) Papa johns will eliminate $1 million and Pizza Hut will eliminate $2million

B) in second round of elimination, papa johns will eliminate $3million and Pizza hut will eliminate $3million.

C) ($2m,$1m) is the nash Equilibrium and will be the likely outcome of this simulationeius advertising decision

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