Why social networks are important in development
Stockholm Doctoral Course Program in Economics Development Economics II: Lecture 3
Social Networks Masayuki Kudamatsu
IIES, Stockholm University
13 November, 2013
Why social networks are important in development
- Impact of network characteristics
Peer effects on welfare / behavior
- (e.g.
class size on test score) • (e.g.
Impact of network behavior
technology adoption)- Informal insurance
Help contract enforcement
- Group lending
- Relational contract •
1. Identify the effect of network (Munshi 2003)
characteristics
2. Identify the effect of network
behavior
- (Manski 1993; Conley & Udry
How to overcome the reflection
problem 2010)
3. Network characteristics that
enhance contract enforcement
1. Impact of Network
Characteristics
Empirical challenge: omitted
- variable bias People in the same network share
- many things in common
Geography
- Assortative matching
Positive assortative matching: suppose Two types of agents (high and low
- ability): u i ∈ {H, L}, (H > L) i’s payoff from forming a pair w/ k :
- V i (u i , u k ), increasing w/ u i & u k
Ability of each pair: positively
- correlated if V i (H, H)−V i (H, L) > V i (L, H)−V i (L, L)
⇐ High ability type can outbid low
ability type for forming a pair with high ability type Digression (cont.)
Dating back to Gary Becker’s
- analysis on marriage Applications in development:
- Ghatak (2000) for microfinance; Ackerberg & Botticini (2002) for sharecropping Legros & Newman (2007) for most
- general treatment of the issue
1. Impact of Network
Characteristics (cont.)
⇒Need an exogenous variation in network characteristics Munshi (2003) uses rainfall shock in
- Mexico as an IV for the migrant network size in US
1.1 Research question
Does a larger network size of Mexican migrants in US increase the probability of employment of its members?
Why important?
- What’s original? >Is it feasi
1.1 Research question (cont.)
Why important? # of people living outside country of
- birth: 175,000,000 in 2000
2.9% of world population (2.2% in
- 1965)
Remittances: huge & growing
cf. See Yang (2008)’s lecture note for
the literature on migration
(1991-2005) Remittances vs. ODA, FDI Source: World Development Indicators 2007. Data are in current US$. 3
1.1 Research question (cont.)
What’s original? Many have studied this question
- But identification in these studies
- not credible Innovation: Use rainfall as an
- instrument for network size
1.1 Research question (cont.)
Is it feasible? Mexican Migration Project: a
- cross-sectional survey with recall data
A cross-sectional survey of Mexican
- communities (survey year differs) 200 hh heads in each community
- surveyed for retrospective history of
migration and employment
⇒ Panel data
1.2 Background
Network members for migrants: Those from the same origin community Where to migrate varies a lot across
- origin communities (Table II.B) 70% obtained a job via referrals
- from relatives & paisanos (p. 562)
⇒ i’s Network = those from the same community
1.3 Theory
Role of network: overcome information asymmetry Worker’s ability: unobservable to
- firms Incumbent workers have better info.
- on the ability of their network members
⇒ Firms rely on referrals from
1.3 Theory (cont.)
⇒ Incentive to refer high ability workers from their network cf. Anecdotal evidence (sec II.D)
Established migrants play key role
- More likely to be employed
- Have been at destination for longer
- More to lose if they are fired
- Have developed firm-specific skills
⇒ # of established migrants, not all
1.3 Theory (cont.)
Who benefits more from referrals Those w/ unfavorable observed
- characteristics:
women, older men, less educated
- New migr
1.4 Empirical specification
Sample: person-years located in US
Y ict
= αMN
- βME
- µ
- η
- ε
ct
ct
i
t
ict
Y ict : Dummy for being employed / for non-agricultural job
- For migrant i from community c in year t
- Nonagricultural job: higher-paying
1.4 Empirical specification (cont.)
Y ict = α MN ct + β ME ct + µ i + η t + ε ict MN
- ct : Ratio of surveyed members
of community c located in US for 1-3 yrs by year t ME : Same as MN but for 4+ yrs
- ct ct
- α = 0, β > 0 • β: larger for new migrants, women, • older men
Prediction:
1.5a Identification issue (1)
People from some origin
- communities may be better skilled for US jobs
⇒ More people migrate ⇒ Network size bigger & each
community member gets employed because of their skill, not network
1.5a Identification issue (1) (cont.)
Controlling for individual FE ability ( µ
i
) solves this problem
- US jobs are as low-skilled as those in Mexico (Tables I.B & II.A)
⇒ Individual skills likely to be
time-invariant
1.5b Identification issue (2)
Business environment at
- destination affects BOTH network size & employment probability ( ε )
ict ict More people migrate if ε ↑
- With serial correlation in business
- environment at destination, even # of
established migrants (ME )
ct correlated with ε ict ict High ε causes return migration - (ME ↓) ct
1.5b Identification issue (2) (cont.)
⇒ Use rainfall at origin as an IV for network size Rainfall ↓ ⇒ # of migrants ↑
- Would-be migrants: mostly work in
- rain-fed agriculture in Mexico (Table
I.B-C)
1.5b Identification issue (2) (cont.)
Rainfall in Mexico doesn’t affect
- employment opportunities in US
Corr. coeff. btw. rainfall in Mexico &
- US: 0.01 (p. 570) Origin community is too small to affect
- labor market conditions at the destination
⇒ No impact on US labor market
conditions1.5b Identification issue (3)
Negative rainfall shock in the past
- ⇒ Among migrants in US today, # of those staying long ↑ ⇒ Mechanically, they’re more likely to be employed (more opportunities to find a job)
⇒ Restrict sample to new migrants
(Tables V(3), VI(4), IX(2))
1.6 IV estimation
MN & ME : instrumented by
ct ct
Mean rainfall in community c over
- years t to t − 2 Mean rainfall in community c over
- years t − 3 to t − 6
- t − 4) (Tables V(2), VI(3))
Results robust to a different cut-off (btw. t
− 3 &1.7 Reduced-form / 1st stage
results (Table V)
Digression: reduced-form / 1st stage
- Reader can check if instruments are
Always show 1st stage results
- not weak
Better to report reduced-form
- results as well
Reduced-form coefficients:
- proportional to IV coefficients Maybe more relevant than LATE
- (Deaton 2010)
1.8 Results: OLS vs IV (Table VI)
dep. var.: indicator of being employed at destination
Similar finding for having
- non-agricultural job as dep. var. (Table IX)
1.8 Results: OLS vs IV (cont.)
Why | ˆ β
IV | > | ˆ β |? OLS
Endogeneity due to return migration
- Attenuation bias due to
- measurement error
Size of network based on random
- sample of individuals from community
Heterogeneous treatment effect (fn
- 33)
Rainfall affects low-ability individuals’
- migration decision
1.9 Heterogenous treatment
effects
Network size effect: larger for New migrants (arrive in t − 1 or t)
- (VI(4)) Women for employment (VI(6))
- But not for occupation (IX(7))
- Older men (above 45 yrs old) for
- employment (VI(7))
But not for occupation (IX(8))
- Less educated (<10 yr
2. Impact of network behavior
Important to distinguish the impact
- of network behavior from the one of network characteristics
If network behavior matters
⇒ changing a few people’s behavior is
enough to induce many more in the
network to change their behavior.
If only characteristics matters- ⇒ there will be no such spillover effect of
a policy
2. Impact of network behavior
(cont.)
Early studies regress each person’s
- behavior on the average behavior of their network members Manski (1993): this methodology is
- wrong due to the reflection problem
Does the mirror image cause the
- person’s movement or reflect them?
This is an issue of multicollinearity,
To answer why an individual tends to behave in a similar way to his/her network members, we want to estimate: y = α + βE(y |x) + E(z|x)
�
γ
�
- z
η + u
- x
: membership indicators
- z
: individual-level determinants of y observed by econometricians
- u: individual-level determinants of y
y = α + βE(y |x) + E(z|x)
�
γ
�
- z
η + u
- β: “endogenous effect”
ie. Impact of network members’ behavior
- γ
: “contextual effect”
ie. Impact of network characteristics Reflection problem (cont.) �
Suppose E (u|x, z) = x δ
- (ie. average u differs across networks)
⇒ If δ �= 0, network members behave in
the same way because their
unobservable characteristics that directly affect behavior are the same.- Network members share the same
Two reasons for this:
- environment (simultaneity bias)
e.g. Geography, weather, business cycle Reflection problem (cont.) � �
y = α + βE(y |x) + E(z|x) γ + z η + u Take expectation both sides of the outcome equation conditional on x
�
E (y |x) =α + βE(y |x) + E(z|x) γ
� �
- E(z |x)η + x δ
�
(⇐ E(u|x, z) = x δ) Solving for E (y |x) yields (if β �= 1): Reflection problem (cont.)
So E (y |x) is a linear function of
- E (z|x)
This is true even if δ = 0 (ie. no
- omitted variable bias)
� �
= α + βE(y |x) + E(z|x) γ + z η + u y
- cannot be estimated due to multi-collinearity
Solutions (Manski 2000, p. 129): specify endogenous effect as
1. Dynamic (ie. lagged mean)
2. Nonlinear function of mean
3. Not mean behavior but, say, median
behavior
Conley & Udry (2010) follow these
- three
4. Some members affected by
randomized treatment
Randomized treatment approach is
- popular by now But there is a caveat
- Network may change in response to
- treatment Carrell, Sacerdote& West (2013): a
- policy designed by experimental evidence on peer effects may backfire
Conley and Udry (2010)
Detailed data collection by
- long-term fieldwork (every 6 weeks for 2 years) Knowledge of agriculture (how
- pineapple grows)
⇒ Better identification strategy than
past studies on social learning for technology adoption
2.1 Research Question
Do pineapple farmers learn from their friends about the optimal usage of fertilizer?
- Interesting?
- If yes, only a few farmers need to be subsidized for universal adoption
- Original?
- Overcome the reflection problem
- Feasible?
2.2 Background & Data
Panel household surveys (every six
- week in 1996-98) in 3 villages of southern Ghana Pineapple recently introduced in the
- study area (Figure 3)
⇒ Must be room for learning
2.2 Background & Data (cont.)
Pineapple takes 5 survey rounds to
- mature after fertilizer is applied
⇒ Once applied, farmer cannot change the use of fertilizer in the same plot until harvest
Pineapple grows throughout the
- year
⇒ Not everyone plants at the same time ⇒
Can exploit lagged response to network behavior, to avoid the
2.2 Background & Data (cont.)
Outcome variable: Changes in
- amount of fertilizer used Sample: 107 plantings by 47
- pineapple farmers whose previous planting is also observed (closed circles in Figure 2)
Other observed plantings are also
- used for measuring regressors (open circles in Figure 2)
2.2 Background & Data (cont.)
Each farmer’s network (“information
neighbors”): obtained by asking
Among 7 other farmers randomly
- chosen from the sample, Whom they turn to for advice on their
- farm
cf. Previous studies often treat everyone else in the same village as network members
⇒ Median # of info neighbors: 2
Location of all plots: collected by
2.3 Theory
Basic ideas: Info. neighbors’ behavior per se
- shouldn’t matter What matters is information each
- farmer obtains from their info. neighbors Relevant information: expected
- profits as a function of the amount
- Farmer i updates E [π
⇐ By looking at change, we can control for farmer fixed effect
,t
)?
j ,s−5
(x
j ,s
respond to π
,t p
− x i
< s ≤ t where t p is the period of i’s previous planting
i ,t
)
,s−5
(x j
,s
)] by observing neighbor j’s profit π j
i ,t−5
(x
- t p
- How does ∆x it ≡ x i
Implications 1 & 2
- When x j
,s
= x
i
,t
p= 0 if good news on x j,s (ie. π j,s (x
j,s −5
) ≥ E i,t p [π j,s (x j,s −5 )])- ∆x it
- ∆x it
- When x
- ∆x it
- ∆x it
�= 0 if bad news
j ,s
�= x
i
,t
p�= 0 if good news on x j,s (ie. π j,s (x
j,s −5
) ≥ E i,t p [π j,s (x j,s −5 )])
= 0 if bad news
⇒ If bad news, i will take different
behavior from j’s
- Good news on x > x
− x
i ,t p
− x
i ,t
⇒ x
i ,t p
> 0
i ,t p
i ,t
⇒ x
i ,t p
, theory also predicts the direction of behavior change:
i ,t p
�= x
,s
For good news on x j
Implication 3
- Good news on x < x
< 0 Implication 4
All of these effects should diminish
- with farmer i’s experience
2.4 Measuring good (bad) news
- j ,s j ,s−5
For i’s expectation on π (x ),
(for t < s ≤ t) p
use median of π (x ) where
k ,τ k ,τ −5
k : plots within 1km radius of i
- τ ∈ {s − 3, s − 2, s − 1, s}
- k ,τ −5 j,s −5
1 (x > 0) = 1(x > 0)
- If π
- j (x j ) exceeds this, it is a ,s ,s−5
good news on x = x j ; otherwise
,s−5
bad news
So theory tells us that farmer i’s
- behavior is a highly non-linear function of i’s network member behavior
⇒ Avoid the reflection problem
2.5 Testing implications 1-2
1 s (good, x = x it p
)
Use logit estimation: Pr (∆x it �= 0) = Λ
α
- α
- α
2 s (good, x �= x it p
)
3 s
(bad, x = x
)
- α
4 s
(bad, x �= x
it p
)
- α
- s (good, x = x
5 ˜Γ it + z � it
α 6
it p
): share of good
it p
2.5 Testing implications 1-2
s (good, x = x
Use logit estimation: Pr (∆x
)
it p
1
- α
- α
�= 0) = Λ α
4
α 6
� it
5 ˜Γ it
)
it p
s (bad, x �= x
)
it
it p
s (bad, x = x
3
it p
s (good, x �= x
2
)
- α
- α
- z
- Theoretical predictions:
2.5 Testing implications 1-2
Use logit estimation: Pr (∆x it �= 0) = Λ
)
1 s (good, x = x it p
α
- α
2 s (good, x �= x it p
- α
3 s (bad, x = x it p
)
- α
4 s (bad, x �= x it p
)
- α
˜Γ
- z
5
it
� it
α 6
)
- S.E.: Conley (1999)’s spatial GMM
close
˜Γ it ≡ |x − x it |
it p close
x : Average of x ks where:
it
k : plots within 1km of plot i
- ∈ {t − 3, t − 2, t − 1, t} s
- ⇒ Control for common shocks faced by
it
Other controls zWealth
- Soil characteristics
- Dummies for
- Clan
- Village
- Survey round
- Novice farmer (adopted in 1994 or
- later)
2.5 Testing implications 1-2
(cont.)
Results (Table 4)
- it p
1SD ⇑ in share of bad news on x
⇒ Prob. of fertilizer use change ⇑ by 15%pt For bad news on x �= x , ⇓ by 9%pt
- it p
Mean prob. of fertilizer use change: • 13%)
- it
Robust to how to measure ∆x �= 0
(columns B-C)
2.6 Testing implication 3
Implication 3 says:
it
= x
− x
- Good news ⇒ ∆x
j ,s−5
i ,t p
it
= 0
- Otherwise, ∆x
2.6 Testing implication 3 (cont.)
Therefore, define GoodNews (x ) × (x − x )
j j i ,s−5 ,s−5 ,t p
M i ≡
,t
Experience
it
- j
,s−5
GoodNews (x ): dummy for
π (x ) above i’s expectation
j j ,s ,s−5
- it
Experience : How many plantings i
2.6 Testing implication 3 (cont.)
OLS estimation of
� 3
∆x = β M + β Γ + z β + ν
it 1 it 2 it it it close
- it it it p
Γ ≡ x − x : Changes in
growing conditions for farmer i at time t
z
- it : same as before, plus Γ it defined
from financial neighbors
2.6 Testing implication 3 (cont.)
1 M it + β 2 Γ it + z � it
∆x it = β
β 3 + ν it
- S.E.: Calculated by Conley (1999)’s Spatial GMM
2.6 Testing implication 3 (cont.)
Results (Table 5)
2.6 Testing implication 3 (cont.)
- 1SD ⇑ in M i
,t
⇒ x i
,t
⇑ by 4 cedis per plant, larger than median level
- Effect: bigger for novice pineapple farmers
- Consistent w/ Implication 4
• Suggests external validity (Late
adopters do not respond less to
learning)2.7 Robustness Checks
Endogeneous network formation
- drives the result? it
Info. shocks: uncorrelated with z • , conditional on growing conditions
(page 54) Info. neighbors: measured at t = 0
- Predicted info neighborhood: same
- result (Table 6 D)
2.8 Additional findings
Own learning effect: equally
- important (Table 6 A) Impact on labor use: similar result
- for pineapple while no learning for maize-cassava (Table 7 A-B) Good news in geographic
- neighborhood: misleading results (Table 7 C)
⇒ Measuring the ACTUAL network:
2.9 Future research
If learning is important, info network
- must be endogenous
⇒ Who will connect to early adopters?
Those who value info high- Those who incur low cost to link up
- with them (gender, wealth, religion, etc.)
What type of farmers should be
- targeted to maximize technological
- How diffusion of new technology (joining microfinance) depends on who was first informed about it?
- Estimate the model in which
- If informed, joining is a function of
own characteristics & fraction of
informed neighbors joining - Information diffusion probability differs
by whether informed join or not
- This model does not contain any
Fraction of informed neighbors
- joining does not matter Informed pass info even if not
- joining Propose “diffusion centrality” that
- can inform NGOs of the person to target to maximize diffusion
To maximize technology adoption,
- targeting average farmers and giving them an incentive to spread information is the most effective.
3. Network Structure &
Enforcement
In developing countries, legal
- institutions are weak
⇒ Contracts cannot be enforced by third party
Social networks play a role of
- enforcement
Grief (1993): Mediterranean traders in
- 11th century McMillan & Woodruff (1999): firms in •
- structure as a black box Some recent attempts to unpack
- the black box
Bloch, Genicot, & Ray (2008):
- informal insurance Jackson, Rodriguez, & Tan (2012):
- favor exchange
cf. Yves Zenou’s course on network in
Q3
3.1 Research Question
Jackson, Rodriguez, & Tan (2012) ask
- What kind of network structure facilitates favor exchanges?
- (very relevant to developing countries)
Without external enforcement
, favor exchanges to achieve higher
(e.g. informal insurance, credit)
welfare require repeated interactions between a pair of individuals But each pair may not repeat
- interactions frequently enough to
Favor exchanges can still be
- sustained if failing to do a favor to someone leads to no opportunity to receive favors from other people in the future Previous studies tend to assume
- that everyone in the community punishes the deviator
- Some people may prefer not
This is unlikely.
- punishing based on their own interest. The deviator may not ask a favor to • everybody else in the future.
So we want to know which pair of
- individuals in a community needs to be connected to sustain favor exchanges
- Provide a new concept of network structure (“support”) that is key to sustain favor exchanges
- This concept is derived from game theory analysis
cf. Sociologists asked the same question
and came up with a concept of “clustering” (how likely two of your friends know each other) without no
formal theoretical justification Why feasible? Mathematical skills...
- Unique data on favor exchanges in
- a network
3.2 Model
n players
- Discrete time (t ∈ {1, 2, ...})
- Linked players can do favors for
- each other The need for a favor arise randomly
- over time
Prob. that i needs a favor from j in
- period t (if i & j are linked): p Value of a favor: v
- Cost of a favor: c
- Assume v > c > 0 (ie. Doing a
- favor is socially optimal)
δ ∈ (0, 1) Discount factor:
Agents choose to keep or delete a
- link at each period Keep a link ⇒ Doing a favor to the
- linked agent when called upon Cannot add or rebuild links >For tractability of analysis
- Agents decide whether to keep their links
- Links are retained if mutually agreed.
- At most one agent i t is called upon to do a favor for j t
∈ N
i (g t )
: Network in period t
- g t
(g t ): Set of agents linked to i (“neighbors”) in network g t
- N i
t
decides whether to do a favor
- i
• If not doing a favor, the link ij is
deleted
3.3 Analysis
Consider a case of n = 2 Expected value of a relationship per
- period pv − pc
Present value of keeping a
- relationship p (v − c) 1 − δ
⇒ Doing a favor is preferred if
δp(v − c) 1 − δ > c Analysis: n = 3
Consider 3 agents connected to
- each other (a “triad”) If failing to do a favor causes
- ostracism, doing a favor is preferred if
δp(v − c) 2 · > c 1 − δ
⇒ Network promotes favor exchange Analysis: Equilibrium refinements
Consider smallest m that satisfies
- δp(v − c) m · > c 1 − δ
Any network where all agents have
- at least m links is sustainable as a SPE
If any favor is ever refused, all agents
- delete all links
- agents may want to deviate from the punishment strategy, in order to obtain higher payoff The punishment strategy (or
- off-the-equilibrium strategy) should be renegotiation-proof
Definition: renegotiation-proof
A network g is renegotiation-proof if g is sustainable as a SPE
- No continuation equilibrium is
- Pareto-dominated by another renegotiation-proof equilibrium
Definition: Renegotiation-proof
(cont.)Illustrate this concept for the case
- where n = 4 and m = 2 Consider the following net
Suppose player 1 fails to do a favor
to player 2.
⇒ Players 1 & 2 no longer do favors to
Then 3 & 4 no longer do favors to
- Everyone prefers the original network to the empty network that would result from failing to do a favor
Now consider this network
Suppose player 1 needs to do a
- favor to 3. 1 does favor if everyone else
But the following network
Pareto-dominates the empty network (and is renegotiation-proof as we just saw)
So this network is NOT
- renegotiation-proof.
Some people may fail to give a
- favor just by chance If this leads to a huge change in
- network structure, we should not observe the original network so often in reality Focus on networks that are stable
- (or “robust”) to such random failure
A network is robust against social contagion if It is renegotiation-proof
- For any network sustained in some
- continuation, if i deletes a link ij, then only i or neighbors of i will delete their links.
= 2, the left network is not With m
A link ij ∈ g is supported if There exists k such that ik ∈ g and
- jk ∈ g
If No pair of players could sustain
- favor exchange in isolation A network is robust against social
- contagion then
All of its links in the network are
- supported
- (We will show this Suppose otherwise.
implies that the network is not robust.)
Then there exists a link ij ∈ g that is not supported. Consider player h ∈ {i, j} /
- Deleting a link involving h results in
- a robust network that includes link ij (see next two slides for why)
If h is not connected to either i or j
- Deleting a link of h leads to a ro
If h is connected to either i or j
- Deleting a link of h leads to a ro
⇐ No pair of players could sustain favor exchange in isolation
Repeat the deletion of a link of a player other than i and j.
- Remember robustness requires local
link deletion for any network
sustained in some continuation from the original network - Only the link ij will remain
- But this link is not a robust network
3.4 Take it to data
- Are links in favor networks “supported” in reality?
- Data from 75 villages in Karnataka, India.
(downloadable from Esther Duflo’s website)
- Stratified random sample of HHs (half of the population) based on a full census
- Each HH: asked to name
- friends, those they visit/invite, borrow/lend kerosene or rice or money, give/receive advice, ask for medical
having a link if either of i or j mentions the other
If HHs outside the sample are
- mentioned, such information is thrown away
Measurement error causes
- underestimation of # of supported links
Only half of HHs interviewed • HHs may forget mentioning a link
- For biases caused by measuring a network
- relationship of one type is supported by relationships of any other type
⇐ e.g. you repay the debt because you don’t want to lose connections with people who would give you advice on farming, not necessarily because you want to keep borrowing. Calculate the fraction of favor
- network links (borrow/lend, advice, medical help) that are supported in each of 75 villages
⇒ In most villages, the fraction
exceeds 50% (Figure 6)
A lot lower fraction of any pair of HHs • have a common “friend” (Figure 7) x-axis : percentile of villages in terms of the fraction of supported favor network links
Fraction of supported links: higher
for favor networks than hedonic networks (visiting each other / talk most often) Other supporting evidence A link is more likely to be formed if • supported, even conditional on the geographic distance between the pair (sec
VI.F) Ratio of fraction of pairs having a common • connected HH btw. linked & unlinked pairs in favor network: higher for pairs w/ different subcaste than w/ same subcaste (Table 4)
4. Further readings
Recent papers on social networks in development Angelucci et al. (2010): extended
- family in Mexico & secondary school enrolment Khwaja et al. (2011): business
- network in Pakistan & credit access Jia et al. (2013): role of
- connections in promotion of
4. Further readings (cont.)
Social network can backfire Banerjee & Newman (1998): a
- theory Munshi & Rosenzweig (2006): men
- in India trapped in caste network while women benefit from trade liberalization
Social network may solve poverty trap
References
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