Suppose Sarah’s constant marginal cost is $5 but Joe's is $8 call that in a Bertrand model with differentiated product, each supplier fa /her own demand: be = 100 – 10 Pjoe + 5 Psarah arah = 100 – 10 Psarah + 5 Pjoe O Suppose Joe and Sarah have the same cost functions as earlier (constant o but asymmetric demand functions

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A and b
(5) For each situation, solve for the Bertrand-Nash Equilibrium (differentiated
Product).
5a) Suppose Sarah’s constant marginal cost is $5 but Joe's is $8
Recall that in a Bertrand model with differentiated product, each supplier faces
his/her own demand:
Qjoe = 100 – 10 Pjoe + 5 Psarah
Qsarah
100
10 Psarah + 5 Pjoe
5b) Suppose Joe and Sarah have the same cost functions as earlier (constant MC of
$5) but asymmetric demand functions
Qjoe = 100 – 10 Pjoe + 5 Psarah
Qsarah = 160 – 10 Psarah + 5 Pjoe
Transcribed Image Text:(5) For each situation, solve for the Bertrand-Nash Equilibrium (differentiated Product). 5a) Suppose Sarah’s constant marginal cost is $5 but Joe's is $8 Recall that in a Bertrand model with differentiated product, each supplier faces his/her own demand: Qjoe = 100 – 10 Pjoe + 5 Psarah Qsarah 100 10 Psarah + 5 Pjoe 5b) Suppose Joe and Sarah have the same cost functions as earlier (constant MC of $5) but asymmetric demand functions Qjoe = 100 – 10 Pjoe + 5 Psarah Qsarah = 160 – 10 Psarah + 5 Pjoe
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