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kjeld@tyllesen.dk ; 23/11/09. 5. Cournot model. KR. P Marked = - Q + 12. KR. Væsentligste forudsætninger:. MC A = MC B = 0. =>. P B = - Q + 6. Givet, at nu er Q A = 6. 12. 12. A starter som Monopolist. MR B fastlægges. P Marked = - Q + 12. Optimering. MR A fastlægges.

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KR.

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kjeld@tyllesen.dk; 23/11/09

5. Cournot model

KR.

PMarked = - Q + 12

KR.

Væsentligste forudsætninger:

MCA = MCB = 0

=>

PB = - Q + 6

Givet, at nu er QA = 6

12

12

A starter som Monopolist

MRB fastlægges

PMarked = - Q + 12

Optimering

MRA fastlægges

=> QB = 3

, PB = 3

Optimering

6

QA = 6

6

, PA = 6

=> QA = 6

3

PMarked

PB

PMarked, PA

6

12

Q

Q

12

6

3

MRB

MRA

PMarked = - Q + 12

KR.

KR.

=>

KR.

PMarked = - Q + 12

PMarked = - Q + 12

12

Givet, at nu er QA = QB = 4

12

=>

12

=>

Givet, at QA = 4,5

Givet, at nu er QB = 3

PA = PB = - Q + 8

PB = - Q + 7,5

PA = - Q + 9

MRA = MRB fastlægges

LIGEVÆGT

9

MRB fastlægges

8

MRA fastlægges

7,5

Optimering

QB = 3

QA = 4,5

Optimering

Optimering

=> QA = QB = 4

=> QB = 3,75

=> QA = 4,5

QA = QB = 4

PA = PB = 4

PB = 3.75

4,5

PA = 4,5

4

3,75

PMarked

PMarked

PMarked

PA, PB

PA

PB

Q

Q

4

8

12

4,5

9

7,5

12

Q

12

3,75

MRA

MRB

MRA = MRB