No government, no edge

No government, type C edge

No government, type D edge

Full efficient government

(t = 1, y = b), no edge

Full efficient government

(t = 1, y = b), type C edge

Full efficient government

(t = 1,y = b), type D edge

Partial efficient government

(t = 0.5, y = b), no edge

Partial inefficient government

(t = 0.5, y < b), no edge

Partial efficient government

(t = 0.5, y = b), type C edge

Partial efficient government

(t = 0.5, y = b), type D edge

Fraction of virtual worlds with N_c ≥ 90 at period j

j

A

B

C

D

E

F

G

H

I

J

0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

500

0.3

1.8

0.0

0.2

0.4

0.2

0.5

1.0

1.0

0.2

1000

3.3

15.6

0.4

2.2

3.6

2.8

2.8

3.8

6.6

0.9

2000

10.3

54.9

0.7

10.1

13.4

9.7

10.7

10.7

25.3

3.1

5000

30.2

92.5

0.9

27.5

31.4

28.0

26.3

25.0

66.0

6.0

10,000

42.6

98.8

1.0

42.9

45.1

42.5

40.8

39.1

85.8

8.3

20,000

49.9

99.0

1.0

50.8

50.6

49.3

47.3

47.1

90.6

8.5

Fraction of virtual worlds with N_c ≤ 10 at period j

j

A

B

C

D

E

F

G

H

I

J

0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

500

0.2

0.1

1.5

0.2

0.3

0.3

0.3

0.1

0.1

1.1

1000

2.9

0.1

13.9

2.3

3.2

3.7

2.7

2.3

1.2

6.5

2000

9.8

0.8

50.3

9.4

9.6

11.6

11.5

10.0

2.9

26.6

5000

29.1

0.9

93.1

26.1

27.6

29.3

27.7

29.7

6.6

66.6

10,000

40.3

1.0

98.8

39.7

40.2

41.3

42.7

44.3

8.2

86.4

20,000

48.4

1.0

99.0

46.8

47.4

49.0

50.9

51.1

8.9

91.3