## Mario Amendola and Jean-Luc Gaffard

Print publication date: 1998

Print ISBN-13: 9780198293804

Published to Oxford Scholarship Online: November 2003

DOI: 10.1093/0198293801.001.0001

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# (p.260) Appendix Numerical Simulations Data1

Source:
Out of Equilibrium
Publisher:
Oxford University Press

# Chapter 6

$Display mathematics$

## Periodic Orbits/complex Dynamics

Figure

κ

ν

η

c

f

f D

$ϱ$

6.1

1

0

1

a

b

Y

0.01

6.2

1

0

1

a

b

Y

0.01

6.3

0.5

0.5

1

a

a

Y

0

6.4

0.5

0.5

1

a

a

Y

0

6.5

0.5

0.5

1

b

b

N

0.001

6.6

0 → 2

0 → 2

1

b

b

N

0.001

6.7

0.5

0.5

1

a

a

N

0.001

6.8

0.5

0.5

1

a

a

N

0.001

The letters a,b (and c and c * in the following tables) refer to c as determined in equations 42a, 42b, 42c, or 42c* in the case of μ < μ, respectively.

The letters a,b (and c and c * in the following tables) refer to f as determined in equations 41a, 41b, 41c, respectively.

Y = Yes; N = No.

# (p.261) Chapter 7

## Changes in Technology

From t = 1 to t = 19

$Display mathematics$

From t = 20 onward

$Display mathematics$

Figure

κ

ν

α

η

c

f

hrc

μ (0)

λ1; λ2

7.1a

0

0

0

1

a

b

(N/Y)

0.3

0

7.1b

0.5

0.5

0

1

a

b

N

0.3

0

7.1c

0.5

0.5

0

1

a

b

Y

0.3

0

7.2a

0

0

0

1

c

b

Y

0.5

0

7.2b

0

0

0

1

c

b

Y

0.3

0

7.2c

0.1

0.1

0

1

c

b

Y

0.3

0

7.3a

0.5

0

1

1

a

b

Y

0.3

0

7.3b

0.5

0

1

1

c

b

Y

0.5

0

From t = 20 onward

$a ih c$ increases by 5% each 20 periods;

the real productivity of the technology increases by 2% over time

Figure

κ

ν

α

η

c

f

hrc

μ (0)

λ1; λ2

7.4a

0

0

0

1

a

b

(N.Y)

0.3

0

7.4b

0.05

0.05

0

1

a

b

N

0.3

0

7.5a

0.5

0.5

0

1

c

b

Y

0.3

0

7.5b

0.1

0.1

0

1

c

b

Y

0.3

0

7.6a

0.1

0.1

0

1

c

c

Y

0.3

0

7.6b

0.05

0

1

1

c

c

Y

0.3

0

7.6c

0.5

0

1

1

c

c

Y

0.3

0

Note: hrc = human resource constraint

## (p.262) Changes in Skill

From t = 1 to t = 19

$Display mathematics$

From t = 20 onward

$Display mathematics$

Figure

κ

ν

α

η

c

f

ξ (0)

7.7

0.05

0.05

0

1

a

b

0.8

7.8

0.05

0.05

0

1

a

b

0.1

7.9a

0.05

0.05

0

1

c

b

0.8

7.9b

0.05

0.05

0

1

c

b

0.02

7.9c

0.05

0.05

0

1

c

b

0.8

From t = 20 onward

$a ih c$ increases by 5% each 20 period ∀ h = 3.4;

the real productivity of the technology increases by 2% over time

Figure

κ

ν

α

η

c

f

ξ (0)

7.10a

0.05

0.05

0

1

a

b

0.1

7.10b

0.01

0.01

0

1

a

b

0.1

7.10c

0.05

0.05

0

1

a

b

0.1

0.005

7.11

0.01

0.01

0

1

c

c

0.1

## Credit Creation

From t = 1 to t = 19

g f = 0.020

From t = 20 onward

g f = 0.025

Figure

κ

ν

α

η

c

f

hrc

λ1; λ2

7.12a

0.5

0.5

0

1

a

b

N

0

7.12b

1.8

1.8

0

1

a

b

N

0

7.13a

0.5

0.5

0

1

a

b

Y

0

7.13b

1.5

1.5

0

1

b

b

Y

0

7.14

0.05

1

0

1

a

b

Y

0

7.15a

0.5

0.5

0

1

a

b

Y

1

(p.263) From t = 20 onward

g f = 0.0246

a ih = (7.8 7.8 7.8 7.8) ∀ i

Figure

κ

ν

α

η

c

f

hrc

λ1; λ2

7.15b

1.15

1.15

0

1

a

b

Y

1

## Changes in Expectations

From t = 1 to t = 19

ϱ = 0

From t = 20 onward

ϱ = 0.001

Figure

κ

ν

α

η

c

f S

f D

μmin

7.16a

0.05

0.05

0

1

b

b

Y

N

7.16b

0.05

0.05

0

1

b

b

Y

N

7.16c

0.05

0

1

1

b

b

Y

Y

7.17a

0.05

0.05

0

1

a

b

Y

Y

7.17b

0.05

0.05

0

1

a

b

Y

Y

0

## Limits to Growth

From t = 1 to t = 19

μ = 0.3; g f = 0.02

From t = 20 onward

Figure

κ

ν

α

η

c

f

μmin

g f

λ1 λ2

7.18a

0.5

0.5

0

1

c *

b

0.28

0.02

1

7.18b

0.5

0.5

0

1

c *

b

0.05

0.02

1

7.19a

0.5

0.5

0

1

c *

b

0.28

0.025

1

7.19b

0.01

0.01

0

1

c *

b

0.28

0.025

1

7.20

0.01

0.01

0

1

c *

b

0.28

0.02

1

(p.264) From t = 1 to t = 19

$Display mathematics$

From t = 20 onward

$Display mathematics$

Figure

κ

ν

α

η

c

f

μmin

g f

λ1; λ2

7.21a

0.01

0.01

0

1

c *

b

0.28

0.0246

1

7.21b

0.5

0.5

0

1

c *

b

0.28

0.0246

1

7.22

0.01

0.01

0

1

c *

b

0.28

0.0246

1

Note: c = c * sudden decrease of the take out

From t = 1 to t = 19

$Display mathematics$

From t = 20 onward

$Display mathematics$

Figure

κ

ν

α

η

c

f

μmin

g f

From t =

7.23a

0.5

0.5

0

1

c *

b

0.2

0.03

30

7.23b

0.5

0.5

0

1

c *

b

0.2

0.025

20

7.23c

0.5

0.5

0

1

c *

b

0.2

0.025

20

0

7.23d

0.05

0.05

0

1

c *

b

0.2

0.025

20

7.24

0.5

0.5

0

1

a

b

0.2

0.025

20

Figure

κ

ν

α

η

c

f

μmin

$h d h$

7.25a

0.005

0.005

0

1

c *

b

0.28

Y

7.25b

0.005

0.005

0

1

c *

b

0.28

N

7.25c

0.5

0.5

0

1

c *

b

0.28

Y

## Notes:

(1) The program for the simulations was written by Elena Lega and Claude Froeschlé using Fortran 617