Introduction to Computational Modeling of Social Systems Emergent

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Introduction to Computational Modeling of Social Systems Emergent Actor Models Prof. Lars-Erik Cederman •

Introduction to Computational Modeling of Social Systems Emergent Actor Models Prof. Lars-Erik Cederman • Prof. Lars-Erik Cederman Center for Comparative and International Studies (CIS) Seilergraben 49, Room lcederman@ethz. ch Studies • Center for Comparative and. G. 2, International Nils Weidmann, CIS Room E. 3, weidmann@icr. gess. ethz. ch (CIS) http: //www. icr. ethz. ch/teaching/compmodels Seilergraben 49, Room G. 2, Lecture, Januarylcederman@ethz. ch 25, 2005 • Nils Weidmann, CIS Room E. 3,

Emergent social forms 2 Emergent interaction patterns Emergent boundaries and networks actor actor actor

Emergent social forms 2 Emergent interaction patterns Emergent boundaries and networks actor actor actor Emergent property configurations actor actor actor actor actor Emergent Dynamic Networks

Sociational theory 3 • Georg Simmel’s “Vergesellschaftung” • Entity processes: – – Creation Death

Sociational theory 3 • Georg Simmel’s “Vergesellschaftung” • Entity processes: – – Creation Death Amalgamation Division Existential processes Boundary processes Georg Simmel

The finite-agent method • Andrew Abbott “On Boundaries”: going beyond variable-oriented modeling • Grow

The finite-agent method • Andrew Abbott “On Boundaries”: going beyond variable-oriented modeling • Grow composite actors with endogenous boundaries based on a “soup of preexisting actors” 4

Schelling’s segregation model 5

Schelling’s segregation model 5

Emergent results from Schelling’s segregation model Number of neighborhoods Happiness Time 6

Emergent results from Schelling’s segregation model Number of neighborhoods Happiness Time 6

Europe in 1500 7

Europe in 1500 7

Europe in 1900 8

Europe in 1900 8

“States made war and war made the state” Charles Tilly 9

“States made war and war made the state” Charles Tilly 9

Geosim • Emergent Actors in World Politics (Princeton University Press, 1997) • Inspired by

Geosim • Emergent Actors in World Politics (Princeton University Press, 1997) • Inspired by Bremer and Mihalka (1977) and Cusack and Stoll (1990) • Originally programmed in Pascal then ported to Swarm, and finally implemented in Repast 10

Classes • Model • Actor • Relation • Model. GUI • Model. Batch 11

Classes • Model • Actor • Relation • Model. GUI • Model. Batch 11

Model architecture 12 Actor Relation x, y res capital neighs Relation owner other twin

Model architecture 12 Actor Relation x, y res capital neighs Relation owner other twin act, res. . pol, prov Actor x, y res capital neighs

Main simulation loop 13 initiation phase resource updating resource allocation decisions interactions structural change

Main simulation loop 13 initiation phase resource updating resource allocation decisions interactions structural change

Resource updating res = res. Unit for all provinces j of state i do

Resource updating res = res. Unit for all provinces j of state i do res = res + res. Unit 14

Resource allocation fixed. Res(i, j) = (1 -prop. Mobile) * res / n mobile.

Resource allocation fixed. Res(i, j) = (1 -prop. Mobile) * res / n mobile. Res = prob. Mobile * res for all relations j do in case i and j were fighting in the last period then mobile. Res(i, j) = res(j, i)/enemy. Res(i)*mobile. Res in case i and j were not fighting the last period then mobile. Res(i, j) = res(j, i)/(enemy. Res(i)+res(j, i))*mobile. Res res(i, j) = fixed. Res(i, j) + mobile. Res(i, j) 15

Decision rule of actor i for all external fronts j do if i or

Decision rule of actor i for all external fronts j do if i or j fought in the previous period then attack j else cooperate with j {Grim Trigger} if there is no action on any select a neighboring state with res(i, j’)/res(j’, i) > launch unprovoked attack front then j’ superiority. Threshold do against j’ 16

Structural change: conquest • Conquest follows victorious battles • Each attacker randomly selects a

Structural change: conquest • Conquest follows victorious battles • Each attacker randomly selects a “battle path” consisting of an attacking province and a target • The outcome depends on the target’s nature: – if it is an atom, the whole target is absorbed – if it is a capital, the target state collapses – if it is a province, the target is absorbed 17

Guaranteeing territorial contiguity Conquest. . . resulting in. . . i partial state collapse

Guaranteeing territorial contiguity Conquest. . . resulting in. . . i partial state collapse "near abroad" cut off from capital Target Province Agent Province 18 j*

Applying Geosim to world politics Process Configuration Distributional properties Example 1. War-size distributions Example

Applying Geosim to world politics Process Configuration Distributional properties Example 1. War-size distributions Example 2. State-size distributions Qualitative properties Example 4. Nationalist insurgencies Example 3. Democratic peace 19

Cumulative war-size plot, 1820 -1997 Data Source: Correlates of War Project (COW) 20

Cumulative war-size plot, 1820 -1997 Data Source: Correlates of War Project (COW) 20

Self-organized criticality Per Bak’s sand pile 21 Power-law distributed avalanches in a rice pile

Self-organized criticality Per Bak’s sand pile 21 Power-law distributed avalanches in a rice pile

Simulated cumulative war-size plot 22 log P(S > s) (cumulative frequency) log P(S >

Simulated cumulative war-size plot 22 log P(S > s) (cumulative frequency) log P(S > s) = 1. 68 – 0. 64 log s N = 218 R 2 = 0. 991 log s (severity) See “Modeling the Size of Wars” American Political Science Review Feb. 2003

Applying Geosim to world politics Process Configuration Distributional properties Example 1. War-size distributions Example

Applying Geosim to world politics Process Configuration Distributional properties Example 1. War-size distributions Example 2. State-size distributions Qualitative properties Example 4. Nationalist insurgencies Example 3. Democratic peace 23

2. Modeling state sizes: Empirical data log Pr (S > s) (cumulative frequency) log

2. Modeling state sizes: Empirical data log Pr (S > s) (cumulative frequency) log S ~ N(5. 31, 0. 79) MAE = 0. 028 1998 Data: Lake et al. log s (state size) 24

Simulating state size with terrain 25

Simulating state size with terrain 25

Simulated state-size distribution 26 log Pr (S > s) (cumulative frequency) log S ~

Simulated state-size distribution 26 log Pr (S > s) (cumulative frequency) log S ~ N(1. 47, 0. 53) MAE = 0. 050 log s (state size)

Applying Geosim to world politics Process Configuration Distributional properties Example 1. War-size distributions Example

Applying Geosim to world politics Process Configuration Distributional properties Example 1. War-size distributions Example 2. State-size distributions Qualitative properties Example 4. Nationalist insurgencies Example 3. Democratic peace 27

Simulating global democratization Source: Cederman & Gleditsch 2004 28

Simulating global democratization Source: Cederman & Gleditsch 2004 28

A simulated democratic outcome t=0 29 t = 10, 000

A simulated democratic outcome t=0 29 t = 10, 000

Applying Geosim to world politics Process Configuration Distributional properties Example 1. War-size distributions Example

Applying Geosim to world politics Process Configuration Distributional properties Example 1. War-size distributions Example 2. State-size distributions Qualitative properties Example 4. Nationalist insurgencies Example 3. Democratic peace 30

4. Modeling civil wars • Political economists argue that effectiveness of insurgency depends on

4. Modeling civil wars • Political economists argue that effectiveness of insurgency depends on projection of state power in rugged terrain rather than on ethnic cohesion • But there is a big gap between macro-level results and postulated microlevel mechanisms • Use computational modeling to articulate identity-based mechanisms of insurgency that also depend on state strength and rugged terrain 31

Main building blocks 32 • National identities 3##44#2# • Cultural map • State system

Main building blocks 32 • National identities 3##44#2# • Cultural map • State system • Territorial obstacles 32144421

The model’s telescoped phases t=0 Phase I Initialization 1000 Phase II State formation &

The model’s telescoped phases t=0 Phase I Initialization 1000 Phase II State formation & Assimilation assimilation 1200 Phase III Nation-building identityformation 33 2200 Phase IV Civil war nationalist collective action

Sample run 3 • Geosim Insurgency Model 34

Sample run 3 • Geosim Insurgency Model 34