Consider the following statements about the Stackelberg game from the slides, assuming both firms are identical: • (1) Denote by qº the Cournot equilibrium quantity produced by each firm, and by q°C the competitive quantity defined by P(qPC) = c (price equals marginal cost). Let s2 denote a strategy where firm 2 plays q2 = q° if it %3D %3D observes g 1 = gC, and plays gɔ = a 1 = gC. and plays gɔ = gPC otherwise, Let s 1

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Chapter1: Making Economics Decisions
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Q5

Consider the following statements about the Stackelberg
game from the slides, assuming both firms are identical:
• (1) Denote by q© the Cournot equilibrium quantity
produced by each firm, and by qºC
quantity defined by P(qPC) = c (price equals marginal cost).
Let s2 denote a strategy where fırm 2 plays q2 = q° if it
observes q 1 = q°, and plays q2 = qPC otherwise. Let s 1
the competitive
%3D
denote a strategy where firm 1 plays q1 = q°. Then, (s1,52)
is a Nash equilibrium of the Stackelberg game, but it's not
a subgame perfect Nash equilibrium.
• (II) The first firm is allowed to change its quantity after
observing firm 2's quantity chosen at the second stage.
• (III) Consumers are worse off in the Stackelberg game
compared with the Cournot outcome given the same
parameters.
Only Il is correct
All options are incorrect.
O More than one option is correct.
O Only IIl is correct
O Only I is correct.
Transcribed Image Text:Consider the following statements about the Stackelberg game from the slides, assuming both firms are identical: • (1) Denote by q© the Cournot equilibrium quantity produced by each firm, and by qºC quantity defined by P(qPC) = c (price equals marginal cost). Let s2 denote a strategy where fırm 2 plays q2 = q° if it observes q 1 = q°, and plays q2 = qPC otherwise. Let s 1 the competitive %3D denote a strategy where firm 1 plays q1 = q°. Then, (s1,52) is a Nash equilibrium of the Stackelberg game, but it's not a subgame perfect Nash equilibrium. • (II) The first firm is allowed to change its quantity after observing firm 2's quantity chosen at the second stage. • (III) Consumers are worse off in the Stackelberg game compared with the Cournot outcome given the same parameters. Only Il is correct All options are incorrect. O More than one option is correct. O Only IIl is correct O Only I is correct.
Expert Solution
Step 1

Cournot Model Outcomes -

Output of each firm = qc 

 

Strategy (s1 , s2 )  => If , q1 = qc  , then q2 = qc 

If , q1 /= qc , then q2 = qpc

 

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