Issues in African Economic Development. Economics 172. University of California, Berkeley. Department of Economics. Professor Ted Miguel

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1 Economics 172 Issues in African Economic Development Professor Ted Miguel Department of Economics University of California, Berkeley

2 Economics 172 Issues in African Economic Development Lecture 12 February 22, 2007

3 Economics 172: Lecture 12 3

4 Why does HIV spread? A simple model Timing: two periods, Youth (t=1), Old age (t=2) Key decision in Youth: Engage in unsafe sex or not Likelihood of living to Old age: P (0,1) if HIV- P HIV (0,P) if HIV+, so P HIV < P Value of one period of life: V > 0 Value of unsafe sex: S > 0 Assume the agent is HIV- in her/his youth Economics 172: Lecture 12 4

5 Why does HIV spread? A simple model Rational decision rule: engage in unsafe sex if the expected utility of unsafe is greater than of safe sex EU (Safe sex) = V + {PV + (1 P)*0} = V(1+P) Assume unsafe sex always leads people to be HIV+ EU (Unsafe sex) = {V+S} + {P HIV V + (1 P HIV )*0} = V(1+P HIV ) + S EU (Unsafe sex) EU (Safe sex) = S + V(P HIV P) > 0 Benefits (+) Costs (-) Economics 172: Lecture 12 5

6 Why does HIV spread? An extension Imagine people do not know their infection status. S/he thinks she has likelihood R [0,1] of already being HIV+ EU (Safe sex) = V + [RP HIV + (1 R)P]V Economics 172: Lecture 12 6

7 Why does HIV spread? An extension Imagine people do not know their infection status. S/he thinks she has likelihood R [0,1] of already being HIV+ EU (Safe sex) = V + [RP HIV + (1 R)P]V Economics 172: Lecture 12 7

8 Why does HIV spread? An extension Imagine people do not know their infection status. S/he thinks she has likelihood R [0,1] of already being HIV+ EU (Safe sex) = V + [RP HIV + (1 R)P]V EU (Unsafe sex) = V(1+P HIV ) + S (UNCHANGED) Economics 172: Lecture 12 8

9 Why does HIV spread? An extension Imagine people do not know their infection status. S/he thinks she has likelihood R [0,1] of already being HIV+ EU (Safe sex) = V + [RP HIV + (1 R)P]V EU (Unsafe sex) = V(1+P HIV ) + S (UNCHANGED) EU (Unsafe sex) EU (Safe sex) = S + V(P HIV P)(1 R) > 0 Economics 172: Lecture 12 9

10 Why does HIV spread? An extension Imagine people do not know their infection status. S/he thinks she has likelihood R [0,1] of already being HIV+ EU (Safe sex) = V + [RP HIV + (1 R)P]V EU (Unsafe sex) = V(1+P HIV ) + S (UNCHANGED) EU (Unsafe sex) EU (Safe sex) = S + V(P HIV P)(1 R) > 0 Nothing to lose : cost of unsafe sex smaller than before Economics 172: Lecture 12 10

11 Why does HIV spread? An extension What are implications of this model for public health messages that stress how widespread the HIV virus already is? Economics 172: Lecture 12 11

12 Why does HIV spread? An extension What are implications of this model for public health messages that stress how widespread the HIV virus already is? -- This increases the R term in the model Economics 172: Lecture 12 12

13 Why does HIV spread? An extension What are implications of this model for public health messages that stress how widespread the HIV virus already is? What are the implications of this model for efforts to boost ARV treatment (e.g., Botswana)? Economics 172: Lecture 12 13

14 Why does HIV spread? An extension What are implications of this model for public health messages that stress how widespread the HIV virus already is? What are the implications of this model for efforts to boost ARV treatment (e.g., Botswana)? -- This increases the P HIV term in the model Economics 172: Lecture 12 14

15 Why does HIV spread? An extension What are implications of this model for public health messages that stress how widespread the HIV virus already is? What are the implications of this model for efforts to boost ARV treatment (e.g., Botswana)?! In both cases, the model predicts that unsafe sex could increase due to these health policy changes Economics 172: Lecture 12 15

16 What is this model missing? (1) People are altruistic - Allow the benefits of unsafe sex to be a function of R: S = S(R). This may offset the nothing to lose effect Economics 172: Lecture 12 16

17 What is this model missing? (1) People are altruistic - Allow the benefits of unsafe sex to be a function of R: S = S(R). This may offset the nothing to lose effect For example, let S = S(1 R) EU (Unsafe sex) EU (Safe sex) = S(1 R) + V(P HIV P)(1 R) = (1 R)(S + V(P HIV P)) > 0 Economics 172: Lecture 12 17

18 What is this model missing? (1) People are altruistic - Allow the benefits of unsafe sex to be a function of R: S = S(R). This may offset the nothing to lose effect For example, let S = S(1 R) EU (Unsafe sex) EU (Safe sex) = S(1 R) + V(P HIV P)(1 R) = (1 R)(S + V(P HIV P)) > 0! In this case the nothing to lose effect and the altruism effect exactly cancel out Economics 172: Lecture 12 18

19 What is this model missing? (1) People are altruistic - Allow the benefits of unsafe sex to be a function of R: S = S(R). This may offset the nothing to lose effect (2) Not all sexual choices are voluntary (e.g., rape) Economics 172: Lecture 12 19

20 What is this model missing? (1) People are altruistic - Allow the benefits of unsafe sex to be a function of R: S = S(R). This may offset the nothing to lose effect (2) Not all sexual choices are voluntary (e.g., rape) (3) Social / cultural norms regarding acceptable sexual behavior, especially regarding safe sex Economics 172: Lecture 12 20

21 What is this model missing? (1) People are altruistic - Allow the benefits of unsafe sex to be a function of R: S = S(R). This may offset the nothing to lose effect (2) Not all sexual choices are voluntary (e.g., rape) (3) Social / cultural norms regarding acceptable sexual behavior, especially regarding safe sex (4) Pockets of poor information about HIV/AIDS (5) Others? Economics 172: Lecture 12 21

22 Economics 172: Lecture 12 22

23 What can public policy do about HIV/AIDS? Economics 172: Lecture 12 23

24 What can public policy do about HIV/AIDS? (1) Testing people, inform them of their HIV status Economics 172: Lecture 12 24

25 What can public policy do about HIV/AIDS? (1) Testing people, inform them of their HIV status -- In the model, testing would change R to zero (if the person is HIV-) or to one (if HIV+). So it could theoretically either increase or decrease unsafe sex, depending on what people s expectations are about their infection status Economics 172: Lecture 12 25

26 What can public policy do about HIV/AIDS? (1) Testing people, inform them of their HIV status (2) Condom distribution Economics 172: Lecture 12 26

27 What can public policy do about HIV/AIDS? (1) Testing people, inform them of their HIV status (2) Condom distribution (3) Public health information campaigns (e.g., Uganda) Economics 172: Lecture 12 27

28 What can public policy do about HIV/AIDS? (1) Testing people, inform them of their HIV status (2) Condom distribution (3) Public health information campaigns (e.g., Uganda) (4) Regulate prostitution Economics 172: Lecture 12 28

29 What can public policy do about HIV/AIDS? (1) Testing people, inform them of their HIV status (2) Condom distribution (3) Public health information campaigns (e.g., Uganda) (4) Regulate prostitution (5) Subsidize treatment for anti-retroviral medical treatment (ARVs). (Compliance and institutional capacity? Profits / smuggling?) Economics 172: Lecture 12 29

30 What can public policy do about HIV/AIDS? (1) Testing people, inform them of their HIV status (2) Condom distribution (3) Public health information campaigns (e.g., Uganda) (4) Regulate prostitution (5) Subsidize treatment for anti-retroviral medical treatment (ARVs). (Compliance and institutional capacity? Profits / smuggling?) (6) Development of an HIV vaccine Economics 172: Lecture 12 30

31 For next time: finish the HIV/AIDS section Economics 172: Lecture 12 31

32 Whiteboard #1 Economics 172: Lecture 12 32

33 Whiteboard #2 Economics 172: Lecture 12 33

34 Whiteboard #3 Economics 172: Lecture 12 34

35 Whiteboard #4 Economics 172: Lecture 12 35

36 Whiteboard #5 Economics 172: Lecture 12 36

37 Map of Africa Economics 172: Lecture 12 37

38 Map of Africa Economics 172: Lecture 12 38

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