Stockholm Doctoral Course Program in Economics
Development Economics II: Lecture 4
Civil Conflicts
Masayuki Kudamatsu IIES, Stockholm University
Big question in this lecture
• Why do civil conflicts occur?
• 56% of countries experienced civil conflicts (25+ deaths per annum)
• 20% of countries had 10+ years of civil conflicts
• Source: Armed Conflict Database 1960-2006 (Fig. 1 in Blattman and Miguel 2010)
• Conflicts: detrimental to welfare
• Convincing evidence hard to come by, though
⇐ Pre-conflict micro data hardly available
cf. Blattman and Miguel (2010, section 4)
Why do civil conflicts occur?
(cont.)
Literature (mainly) proposes the following three reasons:
• Economic factors (sec.1)
• Asymmetric information (sec.2)
• Commitment problem (sec.3)
Also ethnic diversity is often
1. Economic factors
• Poverty often cited as a cause of civil wars
• Is this true theoretically
• Use a contest model to illustrate
• Is this true empirically?
• Search for exogeneous variation
1.1 Model
• Players: groups A & B
• Collective action problem: ignored
• Endowment: 1 unit of labor for both
A & B
• Actions: both groups
1.1 Model (cont.)
Technologies
• Production: group i produces
wi(1 −li)
• li: labor allocated to fighting
• wi: labor productivity for group i
• Fighting: probability of group A
winning given by
1.1 Model (cont.)
• Victory payoff: V
• Resources unaffected by labor allocation (e.g. natural resource export revenue, foreign aid, etc.)
• Main results: robust to including labor output in victory payoff (see Garfinkel & Skaperdas 2006)
• If no fighting (lA = lB = 0), V is
shared by the two groups according to some exogenous formula
The contest model has been used in other contexts:
• Rent-seeking (Tullock 1980) • Endogenous property rights
1.2 Analysis
Peace (lA = lB = 0) cannot be an
equilibrium
⇐ If lj = 0, li = ε > 0 makes group i
1.2 Analysis (cont.)
• Group A solves
max
lA
lA lA + lB
V + (1 −lA)wA
• Group B solves
max
lB
lB
1.2 Analysis (cont.)
• Deleting V
(lA+lB)2 yields
lA lB
= wB wA
• Less productive group spends more
time in fighting
1.2 Analysis (cont.)
lA∗ = wB (wA +wB)2
V
lB∗ = wA (wA +wB)2
V
Conflict level (lA∗ + lB∗ = (w V
A+wB)) ↑ if
• V ↑ (resource curse)
• (wA +wB) ↓ (poverty as a cause of
1.3 Evidence
Tons of cross-country regressions using
• GDP per capita as a proxy for poverty
• natural resource export as a proxy for V
Endogeneity is a major concern
Miguel et al. (2004)
• Rainfall as instruments for GDP per capita in African countries
• GDP in Africa depends on rain-fed agriculture
• Find GDP ↓ ⇒ civil conflicts ↑ • But the mechanism is not clear
e.g. GDP↓ ⇒ Govt forces weaker
• Also it’s LATE
• Also the resource curse channel is not tested
• Recently 3 papers tackle both channels
i. Besley & Persson (2009): use export commodity price as resource effect & import price as poverty effect
ii. Besley & Persson (2011): use UN Security Council membership as resource effect & natural disaster as poverty effect
• Recently 3 papers tackle both channels
1.4 Dube & Vargas (2013)
• Use 978 municipality panel data on
conflict incidents from Colombia (1988-2005) (based on newspapers & reports by Catholic priests)
• where civil wars ongoing since 1960s
• 3-way conflict (govt, guerilla, &
paramilitary), but govt & paramilitary collude
• Columbia exports oil & coffee
• Oil price: proxy for V
1.4 Dube & Vargas (2013) (cont.)
yjrt = λ(OPt ∗ Oilj) +ρ(CPt ∗ Cofj) +x�jtρ + αj +βt
+δrt +γ(Cocaj ∗ t) +εjrt
• yjrt: # of guerilla attacks,
paramilitary attacks, clashes, or casualties in municipality j of region
1.4 Dube & Vargas (2013) (cont.)
yjrt = λ(OPt ∗ Oilj) +ρ(CPt ∗ Cofj)
+x�jtρ + αj +βt
+δrt +γ(Cocaj ∗ t) +εjrt
• OPt: int’l price of oil in year t
• Oilj: oil production level in
1.4 Dube & Vargas (2013) (cont.)
yjrt = λ(OPt ∗ Oilj) +ρ(CPt ∗ Cofj)
+x�jtρ + αj +βt
+δrt +γ(Cocaj ∗ t) +εjrt
• CPt: domestic coffee price in year t
• Cofj: hectares of land devoted to
coffee production in municipality m
1.4 Dube & Vargas (2013) (cont.)
yjrt = λ(OPt ∗ Oilj) +ρ(CPt ∗ Cofj) +x�jtρ + αj +βt
+δrt +γ(Cocaj ∗ t) +εjrt
• xjt: vector of controls, incl. log population
1.4 Dube & Vargas (2013) (cont.)
yjrt = λ(OPt ∗ Oilj) +ρ(CPt ∗ Cofj) +x�jtρ + αj +βt
+δrt +γ(Cocaj ∗ t) +εjrt
• δrt: region-specific linear trends
• Cocaj ∗ t: linear trends for
1.4 Dube & Vargas (2013) (cont.)
yjrt = λ(OPt ∗ Oilj) +ρ(CPt ∗ Cofj) +x�jtρ + αj +βt
+δrt +γ(Cocaj ∗ t) +εjrt
Theoretical predictions
• λ > 0: resource curse effect
yjrt = λ(OPt ∗ Oilj) +ρ(CPt ∗ Cofj) +x�jtρ + αj +βt
+δrt +γ(Cocaj ∗ t) +εjrt
1.4 Dube & Vargas (2013) (cont.)
• No need to instrument OPt • Int’l price is used
• Columbia produces <1% of world oil production
• No need to instrument Oilj • measured at the 1st year of the
sample
⇒ No endogenous change in response
1.4 Dube & Vargas (2013) (cont.)
Instrument for CPt
• Int’l coffee price: not suitable
• Columbia is a major coffee exporter
• Log foreign coffee exports from 3 largest producers (Vietnam, Brazil, Indonesia), denoted by FEt
1.4 Dube & Vargas (2013) (cont.)
• Need to instrument Cofj
• Measured in 1997, whenCPt peaked
(i) Usually low-production municipalities may produce coffee a lot in 1997 ⇒
Non-classical measurement error
(ii) Municipalities w/ downward pre-1997 trend inεmt
e.g. Govt effort in security
may have started coffee production by 1997, because PtC �
⇒Spurious corr. btw CPt & yjrt for
1.4 Dube & Vargas (2013) (cont.)
Instrument for Cofj:
rainfall and temperature at j
⇐ Coffee grows well if
• Tm < 26 (degrees Celcius)
1.4 Dube & Vargas (2013) (cont.)
⇒ CPt ∗ Cofj is instrumented by: • FEt
• FEt ∗Rj
• FEt ∗Tj
• FEt ∗Rj ∗Tj
Rj : mean annual rainfall in municipalityj
Tj : mean annual temperature in
First-stage
(page 20)
• Kleibergen-Paap F statistic: 15.94
Digression: Detecting weak
instruments
• Stock & Yogo (2005) provide critical values of F-statistic or
Cragg-Donald statistic (if # of endogenous variables > 1) for
• Bias in 2SLS is > 10% of bias in OLS (available only for # of instruments ≥
3)
• Actual size of 5% test being less than 10%
• Stata ivreg2 authors (Baum, Schaffer, Stillman 2007: 489-491) take the i.i.d. assumption seriously, and if you cluster standard errors, it reports Kleibergen-Paap statistics
1.4 Dube & Vargas (2013) (cont.)
Findings (Tables II, III):
• ρ <ˆ 0 for all types of conflict
• λ >ˆ 0 for paramilitary attacks only • ρ >ˆ 0 if yjrt is agricultural wage
⇒ Evidence for opportunity cost mechanism
• λ >ˆ 0 if yjrt is municipality govt
revenue
⇒ Evidence for resource mechanism
yjrt = λ(OPt ∗Oilj) +ρ(CPt ∗Cofj)
1.5 Recent studies on
opportunity cost mechanism
• Jia (2012): Sweet potato mitigated
the impact of droughts on peasant revolts in China (1470-1900)
• Bueno de Mesquita (2013):
1.6 Limitation of the contest
model
• Fighting is always an equilibrium • Does not distinguish arming from
fighting
• By setting s = lA∗/(lA∗ + lB∗), both parties should prefer peace
⇒ Need for other explanations for
2. Asymmetric information
War breaks out if
• you overestimate your strength
• you underestimate the opponent’s strength
2.1 Model (Fearon 1995)
• Players: groups A & B
• V: Pie to share or fight over
• Actions:
• A proposesV −x as transfer to B
• B then decides whether to accept V −x or go to war
• p: Probability of group A winning if war breaks out
• cA,cB: Cost of war for A & B,
2.1 Model (cont.)
Payoffs {uA,uB}:
• If B accepts A’s offer, {x,V − x}
• If B fights, {pV − cA,(1 − p)V − cB}
With complete info., peace achieved by
2.2 Analysis
• Suppose A does not know cB: only
knows its distribution F(cB)
• B accepts peace if
V − x ≥ (1 −p)V − cB
⇐⇒ cB ≥ x − pV
• A solves
max
FOC (assuming interior solution)
1 − F(K)
f(K) = K + cA
where K ≡ x − pV
• RHS: increases w/ K
• LHS: decreases w/ K if F yields the monotone increasing hazard rate.
⇒ Unique K satisfying FOC
⇒ War breaks out w/ prob. F(K)
2.3 Limitation
• Information story may explain the onset of a war
• But both parties should learn about each other over time
⇒ cannot explain a long-lasting war
3. Commitment
• In the previous model, peace is achieved w/ complete info.
• This, however, assumes group A’s
ability to commit to x
• If A’s winning probability goes up tomorrow, it will renege on the promise
3.1 Model (Powell 2006)
• 2-period model
• Players: groups A & B
• V: Pie to share or fight over in each period
• If war breaks out in period t:
• A wins w/ prob. pt
• Fraction(1−d) of V: destroyed forever
• The loser eliminated forever (payoff 0)
Each period t
1. A proposes a transfer schedule
{sτ}2τ=t to B
2. B decides whether to accept or to go to war
3.2 Analysis
In period 2:
• A’s payoff from war: p2(1 −d)V
⇒ Credible s2 must be at most
(1 −p2(1 − d))V In period 1:
• A’s maximum credible concession to avoid war:
s1 = V
• B’s payoff from war
(1 − p1)(1 − d)(1 +δ)V
⇒ War cannot be avoided in period 1 if
(1 − p1)(1 − d)(1 +δ)V
> [1 +δ(1 − p2(1 −d))]V
3.3 Intuition
• Key: large shifts in future
distribution of power (p2 >> p1)
• Party whose power will increase cannot commit to a large transfer in future
• They’d rather fight otherwise
• Opponent then prefers a
3.4 Evidence
Yet to come
• How to measure future shifts in
3.5 Implications on political
institutions
• Acemoglu & Robinson (2000, 2001, 2006): model democratization as commitment device to future transfer
• Bruckner & Ciccone (2011): rainfall shock led to democratization in Africa
(1980-2004)
4. Other explanations of war
• Leader bias (Jackson and Morelli 2007)
• Jones & Olken (2009) for evidence that leaders matter
• Grievances (key to solve collective
action problem?)
5. Ethnic diversity
• Viewed as the leading source of civil conflict (& govt failure)
• Is this empirically true? (sec. 5.1
-5.3)
• What’s the theoretical rationale? (sec. 5.4-5.5)
5.1 Measurement
• Ethnic diversity often measured by the prob. that 2 randomly chosen individuals in a country belong to different ethnic groups
5.1 Measurement (cont.)
• This measure has become popular
among economists because of its presumed exogeneity
• Political scientists do not agree, though. (e.g. Posner 2004)
• Michalopoulos (2012) provides evidence against exogeneity
• Found to be negatively correlated w/ govt & economic performances
cf. Easterly & Levine (1997), La Porta et al. (1999), Alesina et al. (2003)
5.1 Measurement (cont.)
• But no robust association w/ civil
conflicts
cf. Collier & Hoeffler (1998), Fearon and Laitin (2003)
• But is this the correct measure of
ethnic diversity to predict conflict?
• This measure: highest if many ethnic groups of equal size
5.2 Polarization
Esteban & Ray (1994) derive an index of polarization from two ideas:
1. Identity (how many people you are identified with) ↑ ⇒ Conflict ↑
5.2 Polarization (cont.)
• Polarization index:
K
• K > 0: constant for normalizing index
Property 1: Polarization ↑ if
πi
πj πk
0 νij νik
Property 2: Polarization ↑ if
πi
πj
πk
0 νij νik
πi > πk
Property 3: Polarization ↑ if
πi
πj
πk
0 νij νik
5.3 Montalvo & Reynal-Querol
(2005)
• Adopt this polarization index into ethnic conflict by setting
• νij = 1,∀i,j (distance between any
two ethnic groups: same)
• α = 1 (perhaps for simplicity)
5.3 Montalvo & Reynal-Querol
(2005) (cont.)
• In pooled sample of country by
5-year-period (1960-1999): Ethnic polarization ↑
5.4 Esteban & Ray (2011)
• Provide a theory that links
fractionalization and polarization indices to conflict
• Theory also tells when which
measure is more important to predict conflict
5.4.1 Model: Players
• N agents
• m groups of agents
• Size of group i: Ni (⇒ �i Ni = N)
• Denote group i’s population share
5.4.1 Model: Actions
• Agent k of group i expends effort
• R is our measure of conflict
5.4.1 Model: Public good
• Winning group spends fraction λ
(fixed) of the budget to produce the public good they prefer
• Group i’s payoff from public good is
λuii if they win
λuij if groupj �= i wins
• δij ≡ uii − uij: “distance” between i
5.4.1 Model: Private goods
• Fraction 1 − λ of the budget will be shared equally by winning group members to produce private goods
• Group i member’s payoff is: (1−λ)N/Ni if group i wins
5.4.1 Model: Payoff
• Each individual’s payoff is therefore:
πi(k) = pi
• We assume player k ∈ i maximizes:
• α is an extent of altruism to other
fellow members of the same group
• α can also be the bargaining power of the group leader who maximizes �
l∈i πi(l)
max
• Rewrite this term by using
σi�pi1 − λ
So agent k of group i’s maximization
Now we have
Therefore, the FOC is
σi R
�
j�=i
pj∆ij = c�(ri(k))
where ∆ij ≡ λδij + 1−nλ
i for j �= i
• LHS is the same for all k ∈ i
5.4.3 Linking conflict to
population distribution indices
σi R
�
j�=i
pj∆ij = c�(ri)
Now we transform this FOC
under the assumption of pi = ni, to derive per capita conflict intensity
σi R
�
j�=i
nj∆ij = c�(ρ)
Now multiply both sides by ρni and sum
�
i σi N
�
j�=i
ninj∆ij = ρc�(ρ)
• RHS: Monotonically increases with per capita conflict intensity ρ
�
i
�
j�=i
ninj[(1 − α) + αNi][λδij + (1 −λ)/ni]
N
• Polarization: �i �j�=i ni2njδij
�
i
�
j�=i
ninj[(1 − α) + αNi][λδij + (1 −λ)/ni]
N
• Fractionalization: �
i
�
j�=i ninj
In summary, conflict increases with
(1 − α)λ
N G + α[λP + (1 − λ)F]
• If α > 0 (altruism to other members
of the same group), P & F matter
5.5 Esteban, Mayoral, & Ray
(2012)
• Estimate this equation with cross-country data
• To measure δij, use linguistic
distances on language trees
• To measure λ by country, use
PUB ∗ GDP PUB ∗ GDP + OIL
• PUB: degree of un-democraticness of
government
• OIL: per capita value of oil reserves
• To measure α by country, use World Value Surveys in which
respondents answer to the questions on:
• Adherence to social norms
• Identification to local community
• Then estimate
ρc =βPαcλcPc + βFαc(1 − λc)Fc
+βGλc(1 − αc)Gc/Nc + x�cκ+ εc
• Results: βP & βF positive and
significant
• For the onset of conflict,
polarization does correlate, but fractionalization does not robustly (Table 6)
• But Esteban and Ray (2011) use the contest model, which has no
predictive power on the initiation of conflict
5.6 Esteban & Ray (2008)
• Why is ethnic conflict more prevalent than class conflict?
• Many conflicts these days are ethnic in nature
• Show higher income inequality
increases the likelihood of ethnic conflict
Model: Players
1. ph: Poor ethnic majority
2. rh: Rich ethnic majority
3. pm: Poor ethnic minority
4. rm: Rich ethnic minority
e.g h: Hindu, m: Muslim in India
Model: Demography & Endowment
• nij: Population share of class i of
ethnicity j
• np ≡ nph+npm
• nr ≡ nrh +nrm
• nh ≡ nph+nrh > nm ≡ npm+ nrm
• Per-capita income
• Rich yr
• Poor yp(< yr)
• nrh/nh = nrm/nm
⇒ Same per-capita income for each
Model: Public goods
• C: class budget
• used for funding class public good
• health care
• education
• infrastructure
• E: ethnic budget
• used for funding ethnic public good
• religious festivals
• temples
Model: Group
ij
’s Payoff
• If peace is achieved,
u(yi) + siC + sjE
• i ∈ {r,p},j ∈ {h,m}
• si ∈ [0,1]: class i’s share of class
budget in peace time
• sj ∈ [0,1]: ethnicity j’s share of
Model: Group
ij
’s Payoff (cont.)
• If class alliances form,
u(yi −
wiAi ni ) +
Ai
Ap + ArC +sjE
• Ai: # of activists financed by class i
• wi: compensation for each activist
in class alliance i
Model: Group
ij
’s Payoff (cont.)
• If ethnic alliances form
u(yi −
wjAij
nij ) + siC +
Aj
Ah + AmE
• Aij: # of activists financed by class i
in ethnic alliance j
• Aj ≡ Aij + A(−i)j
• Notice: in ethnic alliances,
compensation is shared equally within each class of an ethnic group
⇐ Otherwise, forming an ethnic alliance involves regressive redistribution, which is unlikely
• Utility cost of being an activist: fully compensated by wi or wj ⇒ Doesn’t
Model: Timing of events
1. Players form alliances.
• Randomly chosen player: either proposes (i) class alliance, (ii) ethnic alliance, or (iii) peace
• If an alliance proposed, the other player in the proposed alliance decides whether to accept or reject
e.g. Ifrhproposes class (ethnic) alliance, thenrm (ph) responds
• If accepted, move to stage 2 (ie. conflict).
Model: Timing of events (cont.)
1. Players form alliances (cont.)
• If all the 4 players propose peace or if proposals rejected endlessly, peace payoffs realize
• Assumption D:
• Players reject or never make a proposal yielding the worst possible payoff
ie. Delaying such a proposal so the worst payoff is discounted
Model: Timing of events (cont.)
2a. If class alliances are formed, each alliance simultaneously chooses Ak (k = {p,r})
⇐ There’s no asymmetry between h & m in terms of payoffs.
2b. If ethnic alliances are formed, each class in each alliance simultaneously chooses Aik
Analysis: how to proceed
1. Prove that, under Propositions 2-5, ethnic conflict is unique outcome of the game (Proposition 6)
2. Check if a higher income inequality makes propositions 2-5 more likely to hold
Preference conditions for ethnic
conflict to be unique outcome
P2. ph: ethnic � class
P3. If ph: class � peace
⇒ rh: ethnic � class
P4. r: peace � class
P5. p: class � peace
Peace won’t be an eq. outcome
• Suppose otherwise
• ph prefer proposing class
• By P5, ph: class �peace
• pm accepts this proposal
• ph: ethnic �peace (by P2, P5)
⇒σh > sh ⇒σm < sm
⇒pm: peace � ethnic
⇒pm’s best outcome: class (by P5)
⇒Accepts immediately (by D)
Class won’t be an eq. outcome
• Suppose otherwise
• r never initiate class conflict
• rh: ethnic � class (by P5 & P3)
⇒rh’s worst outcome: class (by P4)
⇒rh never proposes/accepts class (by D)
• ph prefers proposing ethnic
• ph: ethnic �class (by P2)
• rh accepts this proposal
• Peace won’t be an eq. outcome
• rh: ethnic � class (by P5 & P3)
Intuition
• Poor ethnic majority: want ethnic
conflict (P2)
• Issue: whether rich ethnic majority accept this even when rich prefer peace the most
• When poor can credibly threaten rich with class conflict (1st part of the proof), peace no longer possible
Propositions 2-5
• Paper shows P2-P5 hold under
reasonable set of parameter values
• Here we focus on why
within-ethnicity inequality helps satisfying P2
• Proposition 1a: specifies condition for conflict � peace
• Proposition 1b: specifies condition
Proposition 1a
• Assume that contributions x are small relative to income yi.
ie. u(yi)−u(yi −x) ≈ u�(yi −x)x
• Then class i in alliance k prefers conflict to peace iff
λikσk2 + (1 −λik)σk > sk
• λik ≡ Aik/Ak
• σk ≡ Ak/(Ak +Al)
Proposition 1a: Intuition
• λik = 1 if k is class alliance
• Then the condition boils down to
σk2 > sk
Proposition 1a: Intuition (cont.)
• λik = 0 if class i in ethnic alliance k
does not contribute
• Then the condition boils down to
σk > sk
• Conflict should increase the budget
Proof of Proposition 1a
• LHS: Gain from conflict
• Conflict �ik Peace if
• Conflict �ik Peace if
�
σk − sk
�
G > λik
AkAl (Ak + Al)2
G
= λikσk(1 − σk)G
• Rearranging this inequality yields:
λikσk2 + (1 −λik)σk > sk
• Notice: this proof only uses the inequality that compares the payoffs from conflict and peace
⇒ Difference between both sides of inequality: Net payoff of conflict
• This allows us to derive Proposition
Proposition 1b
• Class i of ethnicity j prefers ethnic alliance to class alliance iff
[λijn2j + (1 − λij)nj − sj]µ > σi2 − si
where µ ≡ E/C
• LHS: Gain from ethnic conflict relative to peace
Proposition 1b: intuition
• Class i prefers class conflict (so
λik = 1) to peace iff
σi2 > si
• Class i of ethnicity j prefers ethnic conflict to peace iff
λijn2j + (1 −λij)nj > sj
• If ethnic alliances form, σj = nj
λ
pk=
0 as an implication of
within-ethnicity inequality
• λik = 0 if class i in ethnic alliance k
does not finance any activists:
u��yi−
⇒ If income inequality very high (yr >> yp), then
• Condition for ethnic � class,
[λijnj2 + (1 − λij)nj − sj]µ > σ2i − si,
is easier for ph to satisfy if λph = 0.
⇐ If they don’t need to contribute, the increase in the share of ethnic
5.7 Recent studies on causes of
ethnic conflict
• Rohner et al. (2013): ethnic conflict
persists as conflict destroys inter-ethnic trust and trade
• Jha (2013): historical inter-ethnic
trade reduces conflict in India
• Yanagizawa-Drott (2012): radio
6. Future research (in my view)
• Theory-motivated empirics to explain the initiation of conflict
• For a theory survey, see Jackson and Morelli (2011)
• Open the black box of group behavior of rebels
e.g. Bueno de Mesquita (2013)
• Synthesize other forms of political violence (repression, coups, riots, etc.) with civil wars
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