Assume that payoffs are received at the time a pricing decision is made, so the first-period payoff does not need to be discounted. If the interest rate is 30% per period, then the present value of Bridezilla-No-More's profit from following the collusive agreement forever is million, whereas the present value from breaking the agreement in the first period is million. Therefore, Tying-the-Knot's grim trigger strategy effectively deter Bridezilla-No-More from cheating on their agreement.

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Chapter17: Oligopoly
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Assume that payoffs are received at the time a pricing decision is made, so the first-period payoff does not need to
be discounted. If the interest rate is 30% per period, then the present value of Bridezilla-No-More's profit from
following the collusive agreement forever is
million, whereas the present value from breaking the
agreement in the first period is
million. Therefore, Tying-the-Knot's grim trigger strategy
effectively deter Bridezilla-No-More from cheating on their agreement.
Transcribed Image Text:Assume that payoffs are received at the time a pricing decision is made, so the first-period payoff does not need to be discounted. If the interest rate is 30% per period, then the present value of Bridezilla-No-More's profit from following the collusive agreement forever is million, whereas the present value from breaking the agreement in the first period is million. Therefore, Tying-the-Knot's grim trigger strategy effectively deter Bridezilla-No-More from cheating on their agreement.
3. Understanding grim-trigger strategies
Suppose only two firms, Tying-the-Knot and Bridezilla-No-More, offer high-class wedding planning services. The
following payoff matrix shows the profit (in millions of dollars) of each company, depending on whether it sets a high
or low price for its services. Tying-the-Knot and Bridezilla-No-More are both profit-maximizing firms.
Tying-the-Knot
Low
High
Bridezilla-No-More
True
False
Low
8,8
3, 18
The Nash equilibrium of this game is for Tying-the-Knot to set a
low price.
High
18,3
12, 12
Aa Aa
low price and Bridezilla-No-More to set a
True or False: Both firms would be better off if they colluded and set a high price for their services, instead of using
the Nash equilibrium.
Suppose that the firms play this game indefinitely. Both firms agree to collude in order to maintain higher profits. To
deter cheating, Tying-the-Knot announces that it will play a grim trigger strategy. Given this strategy, what will
happen if Bridezilla-No-More breaks the collusive agreement in the first period? Check all that apply.
Bridezilla-No-More will play High in the second period.
Tying-the-Knot will play Low in the second period and then High until Bridezilla-No-More breaks the agreement
again.
XTying-the-Knot will play Low going forward.
Beginning in the period after cheating has occurred, both firms will be stuck in the Nash equilibrium forever.
Transcribed Image Text:3. Understanding grim-trigger strategies Suppose only two firms, Tying-the-Knot and Bridezilla-No-More, offer high-class wedding planning services. The following payoff matrix shows the profit (in millions of dollars) of each company, depending on whether it sets a high or low price for its services. Tying-the-Knot and Bridezilla-No-More are both profit-maximizing firms. Tying-the-Knot Low High Bridezilla-No-More True False Low 8,8 3, 18 The Nash equilibrium of this game is for Tying-the-Knot to set a low price. High 18,3 12, 12 Aa Aa low price and Bridezilla-No-More to set a True or False: Both firms would be better off if they colluded and set a high price for their services, instead of using the Nash equilibrium. Suppose that the firms play this game indefinitely. Both firms agree to collude in order to maintain higher profits. To deter cheating, Tying-the-Knot announces that it will play a grim trigger strategy. Given this strategy, what will happen if Bridezilla-No-More breaks the collusive agreement in the first period? Check all that apply. Bridezilla-No-More will play High in the second period. Tying-the-Knot will play Low in the second period and then High until Bridezilla-No-More breaks the agreement again. XTying-the-Knot will play Low going forward. Beginning in the period after cheating has occurred, both firms will be stuck in the Nash equilibrium forever.
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