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Workers, Warriors and Criminals: Social Conflict in General Equilibrium

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This paper analyzed how economy-wide forces (i.e.shocks to terms of trade, technology and endowments) affect the intensity of social conflict and showed that not all shocks that could make society richer will reduce conflict, while positive shocks to capital intensive industries will increase it.
Abstract
We analyze how economy-wide forces (i.e.shocks to terms of trade, technology and endowments) affect the intensity of social conflict. We see conflict phenomena such as crime and civil war as involving resource appropriation activities. We show that not all shocks that could make society richer will reduce conflict. Positive shocks to labor intensive industries will diminish social conflict, while positive shocks to capital intensive industries will increase it. The key requirement is that appropriation activities be more labor intensive than the economy. Our model can explain the positive association between crime and inequality, and the curse of natural resources; it predicts that aid in kind to war-ridden societies will have perverse effects, and offers guidance on how to integrate international trade policy and peacekeeping efforts. Including appropriation activities into a canonic general equilibrium model introduces a social constraint to policy analysis. Thus, we can also account for populist policies, apparently inefficient redistribution and “national development strategies”.

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Workers , Warri ors and Cr i mi nal s: So c ial Conic t in
Gen er a l E q uilib r iu m
Ernesto Dal
U.C. Berkeley
Pedro Dal Bó
Brown Un iversity
September 22, 2004
Abstract
We analyze how economy-wide forces (i.e.shocks to te rms of trade, technology and
endowments) aect the intensity of social conict. We see conict phenomena such as
crime and civil war as involving resource appropriation activities. We show that not
all shocks that could make society richer will reduce conict. Positive shocks to labor
intensive industries will diminish social conict, while positive shocks to capital inten-
sive industries will increase it. The key requirement is that appropriation activities be
more labor intensive than the economy. Our model can explain the positive association
between crime and inequality, and the curse of natural resources; it predicts that aid
in kind to war-ridden societies will have perverse eects, and oers guidance on how to
integrate international trade policy and peacekeeping eorts. Including appropriation
activities into a canonic general equilibrium model introduces a social constraint to
policy analysis. Thus, we can also account for populist policies, apparently inecient
redistribution and “national development strategies”.
JEL Classication: D72, D74, D78, F13, H23, K42, O1.
Keywords: conict, civil war, crime, social constraint, populism, trade policy, inef-
cient redistribution.
We thank Rafael Di Tella, Herschel Grossman, Juan Carlos Hallak, Ben Hermalin, Daniel Heymann,
Edward Miguel, and participants in various conferences and seminars.
1

1 Introduction
One crucial aspect of social life is the conict over the distribution of resou rces. The divi-
sion of wealth amon g individuals is not solely determined by a price system operating on
the basis of well dened and perfectly enforced propert y rights. In reality, expropriatory
eorts pla y an important role, and tak e various forms. Sometimes an agen t will engage in
criminal activities—either acting alone or as part of a group—with the undisguised intention
to expropriate goods from others. Some other times individuals may join a guerrilla that is
motivated b y ideology, but that in fact is (at least partly) fueled b y the group’s ability to
appropriate resources.
Economics has historically analyzed phenomena lik e crime, on the one hand, and revolts
and political instability, on the other, along separate lines.
1
These phenom ena, how ever,
recognize a common root: they are symptoms of social conict in the sense that they express
individual and group pressures for the appropriatio n of resources. Th is paper oers a simple
general equilibrium framework to study ho w economy-wide forces aect the exten t of social
conict seen as an appro priation -based phenom enon .
2
Both microfo u nded theoretical models and empirical evidence suggest that, all else equal,
a lower opportunit y cost in terms of w a ges in the labor mark et should increase the chance
that an individ ual engages in activities suc h as rebellion or crime.
3
This knowledge alone,
ho wever, is not sucient to predict how aggregate economic shocks or policy int erven tions
will aect the extent of social conict. One ke y reason is that usually all else is not equal:
real life shoc ks aecting the opportunit y costs of conict also tend to aect the returns to
conict and vicev ersa. Our model provides an integr ated view of ho w the costs and benets
to conict activities mov e in response to shoc ks (or policies). Thus, we can mak e predictions
on how suc h shocks will aect phenomena lik e crime, and accoun t for stylized facts of civil
wars.
1
Classic references in the literature on crime are Beck er (1968) and Ehrlich (1973). Various references to
work on revolts are given below.
2
Whether the ght for resources takes the form of atomistic criminals or large, politically organized
factions will depend on many factors shaping what we could call the industrial organization of social conict.
In this paper we choose to abstract from all issues regarding the number and size of competing groups, as well
as from strategic interactions, to focus on what we deem to be more basic aspects, such as the determinants
of the relevant costs and benets to the expropriatory eorts.
3
There is evidence that a higher income per capita is associated with a lower likelihood of civil con ict
(Collier and Hoeer, 1998, Elbadawi and Sambanis, 2002, Fearon and Laitin, 2003; Miguel, Satyanath and
Sergenti, 2004), and MacCulloch (2001) nds that higher household income diminishes the propensity to
express support for a revolt. Empirical studies on the relationship between wages and crime suggest that
higher wages deter participation in criminal activities (see Grogger, 1998 and Gould, Weinberg and Mustard,
2002).
2

In particular, our model shows that wealth-increasing shoc ks ma y both increase and
decrease conict. W hat really matters in our model is the relative factor in ten sity of the
sectors in the economy that are initially aected. Our general equilibrium model of a small
open econom y comprises t wo productive sectors and a third sector w e call “appropria tion.”
This last sector expropriates a fraction of what is produced in the two productive industries.
Assum ing that appropriation is labor intensive relativ e to the whole econom y, we sho w that
an exogenous increase in the price of the capital in tensiv e good will cause the appropriation
sector to expand. (Conv ersely, a decrease in that price or an increase in the price of the labor
intensiv e good will lead to a smaller approp riat ion sector.) The reason is that an increase in
the price of the capital intensive good will expand the capital intensive industry, and contract
the labor in ten sive one. This makes labor relatively less scarce, resulting in a lo wer cost of
the appro priation activity relative to the amount of appropriable resources. Tech nolog ical
progress, whic h ma kes society ric h er, has similar eects: neu tral tech nical progress in the
labor in ten sive sector will decrease conict but prog ress in the capital in te nsive sector will
increase it. The eects of c ha nges in endowments can also be analyzed: an increase in
the cap ital end owment, for instance, will increase conict. We also show that the social
backlash of appropriation activities can be so strong that shock s that w ould make a conict-
free economy ric h er will leave every body wo rse o.
The model is usefu l to explain empirical patterns in crime and civil wars. First, it can
account for the positive association between crim e and inequality.
4
Capital and labor in our
model can be interp reted to represent dierently skilled labor forces. An y favorab le shock to
the skilled labor in t ensive sector will increase the wage gap across skill levels and will increase
conict whenever appropriation is relativ ely inten sive in unskilled labor. Also, in our model
these mo vements are compatible with an increase in total production. Thus, our model can
explain why reforms that increase income per capita ma y be associated with increasing crime
and inequality. An example is that of Argen tina, where sw eeping market-friendly reforms
where introduced starting in 1991.
5
The model can also accou nt for st ylized facts of civil w ars that appear paradoxical. On the
one hand, there is the abo vementioned evidence that a higher income per capita is associated
with a lo wer likelihood of conict. On the other hand, ho wever, not all wea lth-increasin g
forces appear to diminish conict: Collier and Hoeer (1998) report that a larger availabilit y
4
Fajnzylber, Lederman and Loayza (2002) document this connection across countries. There is also
evidence that income inequality increases individual propensity to express support for a revolution (see
MacCulloch, 2001).
5
The following years saw important increases in income per capita, inequality and crime in the country.
GDP per capita increased by 40% between 1991 and 1998. The Gini coecient wen t from 44.7 to 49.5
between 1992 and 1998, and crimes against property increased by roughly 71% between 1991 and 1998.
3

of natural resources can increase the risk and duration of civil w ar. Our model can explain
these patterns. It predicts that a shock such as a drought—a negative shoc k to agricultural
productivity and income—will fuel conict in countries where agriculture uses relatively little
capital, as in Subsa haran Africa (see Miguel et al, 2004). But our model also predicts that
tec h nical progress or new reserve disco veries in oil or diam on ds will increase conict when
these extractive industries are relativ ely capital intensive, regardless of the fact that these
shocks should also increase income.
Over the last few decades, the develop m ent of Po litical Economics has allow ed us to
incorporate political constra ints into theory and policy analysis. In a similar spirit, our
framework brings a social constraint to bear on the analysis of economic policy. We nd
that taxing capital and subsidizing productive labor can make both w orkers and capitalists
better o: although capitalists lose when pay in g taxes they may gain mo re from less in ten se
expropriation. When administering such tax-subsidy schemes is dicult (weak states may
ha v e trouble identifying who is really doing productive w ork), the promotion of unproduc-
tiv e public employment can be P areto-im p r oving. Th u s, some forms of populism, includin g
redistribution through w asteful ch an nels, can be accounted for as rational responses to envi-
ronments with social conict.
6
Similarly, policy in terven tio ns that shield the economy from
certain shoc ks to term s of trade and technology may become desirable. Suc h interven tions
can include (i) trade protection of labor intensive industries and (ii) sub sidizin g techni-
cal progress in labor intensive industries while discouraging the adoption of foreign-based
innovations that migh t be biased to wards the capital intensiv e sector. Th ese results ma y
help rationalize the political support often enjoyed b y policies that protect labor intensive
industries. They also resonate with proposals b y dev elopment theorists aligned with the
Latin America n structuralism (see for example Prebisch, 1959, on how national dev elop m e nt
strategies could use selectiv e interven tions).
The policy applications of the model reach the int ernatio nal eorts to stop violen t con-
ic t in the third world. One imp lication of our model is that aid in kind may have perverse
eects, because it does not aect the returns to labor, but it increases the mass of lootable
resources. Also, peace eo rts may need to be coordinated with international trade agree-
ments. Otherw ise, the trade policies ch osen by industrial powers may undermine their peace
eorts abroad. To the best of our kno wledge, our model pro vides the rst framew ork with
which to analyze the integration of trade and peace policies.
Our approach abstracts from sev eral factors that ma y aect conict. Exam ples are income
eects, un em ployment, and additional connections bet ween natural resources and conict.
7
6
See Coate and Morris (1995) and Acemoglu and Robinson (2001a) for dierent explanations of inecient
redistribution mechanisms.
7
Extractive activities, for example, tend to be associated with monopolic rents. These in turn are as-
4

Previous papers on conict(seeforinstanceGarnkel, 1990; Grossman, 1991; Skaperdas,
1992; Hirsh leifer, 1995; Grossman and Kim , 1995; Acemoglu and Robinson, 2001b; Powell,
2004) ha ve studied a variet y of problems w e do not deal with. Examples are the determinants
of militar y expenditures in repeated in tera ction s among coun tr ie s, the failure of cooperation
in set ups where coercion is possible, and the determination of in vestment in production
versus oensive and defensive capabilities.
Our model can be though t to hav e implications for ren t-seeking. In particular, our
appropriation sector could be though t to capture ren t-seeking eorts under exogenous taris
(on this topic, see for instance Krueger, 1974; and Bhagwati and Srinivasan, 1980). Besides
dierences in focus and modeling choices, our theory diers from Kruger’s and Bhagw ati and
Srinivasan’s in that our theory reserv es a role for the relativ e use of factors across industries.
The plan for the paper is as follows. Section 2 presents the model. Section 3 char acter izes
the equilibrium after proving its existence. Then a compa rison is made with the equilib riu m
in a conict-free society. Section 4 studies ho w economic shoc ks aect the extent of social
conict, thus establishing our centra l results. Section 5 establishes further results and dis-
cusses policy implication s. Section 6 extends the basic model to the case of industry-specic
factors. Section 7 concludes.
2 The model
Consider an economy comp rising two productiv e sectors along the lines of the canonical 2x2
international economics model.
8
The productive sectors involve many rms which maximize
prots and use tech nologies cha racterized b y constan t returns to scale. In a competitiv e
equilib r iu m prots are driven to zero. The t wo productiv e sectors or industries are labeled 1
and 2, and they use two inputs, capital and labor, respectively labeled K and L.Allrm s in
each industry share the same production function with the property that industry 1 is more
capital in ten sive than industry 2. Wedenotewithr and w the respective rental prices of
capital and labor. The given primitives of the model are: the factor endowments, a vailable in
xed amounts
K and L; the tech no logies; and the prices of output, which are in ternation ally
determ ined and are labeled p
1
for industry 1, and p
2
=1for industry 2. (Good 2 is the
numeraire.)
In add ition to the productiv e sectors, there exists an app rop riation sector. This sector
sociated with higher corruption, and the latter can be expected to damage the quality of institutions and
economic performance. The end result may well be higher conict. For the connection between rents and
corruption see Ades and Di Tella (1999), and for the role of institutions see Acemoglu, Johnson and Robinson
(2001). Ross (2003) lists various connections between natural resources and conict.
8
See Stolper and Samuelson (1941) and Jones (1965).
5

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References
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Crime and Punishment: An Economic Approach

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The Theory of Economic Regulation

TL;DR: In this article, the authors argue that regulation is acquired by the industry and is designed and operated primarily for its benefit, and that the state has one basic resource which in pure principle is not shared with even the mightiest of its citizens.
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TL;DR: This article showed that the current prevalence of internal war is mainly the result of a steady accumulation of protracted conflicts since the 1950s and 1960s rather than a sudden change associated with a new, post-Cold War international system.
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Greed and Grievance in Civil War

TL;DR: Collier and Hoeffler as discussed by the authors compare two contrasting motivations for rebellion: greed and grievance, and show that many rebellions are linked to the capture of resources (such as diamonds in Angola and Sierra Leone, drugs in Colombia, and timber in Cambodia).
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Frequently Asked Questions (14)
Q1. What are the contributions in "Workers, warriors and criminals: social conflict in general equilibrium" ?

The authors analyze how economy-wide forces ( i. e. shocks to terms of trade, technology and endowments ) affect the intensity of social conflict. The authors show that not all shocks that could make society richer will reduce conflict. Thus, the authors can also account for populist policies, apparently inefficient redistribution and “ national development strategies ”. 

The possibility that workers may become warriors or criminals hurts everybody. The distortion introduced by the possibility of appropriation activities renders attractive some policies that would be inefficient in a world where property rights can be perfectly enforced. The first piece of evidence can be explained as the result of negative shocks affecting a labor intensive sector, while the second can be explained as the result of positive shocks affecting relatively capital intensive activities. The authors show the social backlash of increased conflict can be so strong as to leave society 16See < http: //www. kimberleyprocess. com >. worse off after the realization of a shock that would make a conflict-free society richer. 

Because in the no specialization case factor prices are only affected by technology, a higher availability of capital will not affect the opportunity cost to the appropriation sector. 

When the targetting of subsidies to productive labor is difficult, the promotion of unproductive labor can be attractive to society as a way to diminish conflict. 

the increase in conflict can overcome the direct effect of technical progress on the production possibilities of the economy, resulting in a decrease in total production. 

In a Cobb-Doublas economy, an increase in the endowment of capital of the capital (labor) intensive sector results in an increase (decrease) of conflict. 

10 Given the technology, output prices (p1) and factor endowments (K and L), the9The extreme assumption that the appropriation sector uses no capital is made for simplicity only. 

Such interventions can include (i) trade protection of labor intensive industries and (ii) subsidizing technical progress in labor intensive industries while discouraging the adoption of foreign-based innovations that might be biased towards the capital intensive sector. 

some forms of populism, including redistribution through wasteful channels, can be accounted for as rational responses to environments with social conflict. 

As will be shown below, our13Of course, with productive specialization, the existence of an appropriation sector would result in an increase in the wages paid by firms. 

This provides an efficiency rationale for a set of policies that are usually considered solely redistributive: subsidies to productive labor increase the total size of the economy’s “pie.” 

Over the last few decades, the development of Political Economics has allowed us to incorporate political constraints into theory and policy analysis. 

as the population of a country grows, the appropriation sector would grow as well up to the point in which it takes over the whole economy. 

As is standard in the literature, let σi denote the elasticity of substitution between labor and capital in sector i (a negative number), and θLi ≡ wLiwLi+rKi is the distributive share of labor in the income of sector i.