goncan_netlogo-abm-models/basic_corruption_model/basic_corruption_model.nlogo
;; Ambiente
;; Si mis cercanos cometen un delito soy mas propenso a cometer un delito
;; Si arrestan a un cercano reduce mi posibilidad de cometer un delito // RATITO
;; Los politicos se mueven de su circulo
;; Los agentes se mueven entre los politicos

;; Cada agente:
;; ;; Tiene una aversión a la corrupcion
;; ;; Tiempo que ha estado en la carcel
;; ;; Posee un capital

;; Penalidades
;; Si cometo una falta soy encarcelado
;; Entre mas tiempo estoy encarcelado menos posibilidad existe de cometer una falta

;; Globales
;; ;; Gain: Porcentaje de ganancia (parametro global para ver si comenten un delito)
;; ;; Arrest: Posibilidad de que te arreste
;; ;; threshold: Umbral minino para ver si vale la pena o no cometer un delito

breed [agents agent]
breed [cops cop]

globals [
  k                   ; factor for determining arrest probability
  threshold           ; by how much must G > N to make someone rebel?
]

agents-own [
  risk-aversion       ; R, fixed for the agent's lifetime, ranging from 0-1 (inclusive)
  perceived-hardship  ; H, also ranging from 0-1 (inclusive)
  active?             ; if true, then the agent is actively rebelling
  jail-term           ; how many turns in jail remain? (if 0, the agent is not in jail)
  jail-total
  financial-capital   ; initial capital
  forget-days
  
]

patches-own [
  neighborhood        ; surrounding patches within the vision radius
]

to setup
  clear-all

  ;; set globals
  set k 5
  set threshold 0.1

  ask patches [
    ;; make background a slightly dark gray
    set pcolor gray
    ;; cache patch neighborhoods
    ;; Radio de vision para el vecindario
    set neighborhood patches in-radius vision
  ]

  ;; create cops
  create-cops round (initial-cop-density * .01 * count patches) [
    move-to one-of patches with [not any? turtles-here]
    display-cop
  ]

  ;; create agents
  ;; financial-capital sigue una distirbucion exponencial con tamaño maximo de 10
  create-agents round (initial-agent-density * .01 * count patches) [
    move-to one-of patches with [not any? turtles-here]
    ;;set heading 0
    set risk-aversion random-float 1.0 ;; 0 - 1
    set financial-capital (random-exponential 2 * 10) ;; 0 - 100
    set active? false
    set jail-term 0
    set jail-total 0
    set forget-days 0
    display-agent
  ]

  ;; start clock and plot initial state of system
  reset-ticks
end ;; end Setup

to go
  ask turtles [
    ; Rule M: Move to a random site within your vision
    if (breed = agents and jail-term = 0) or breed = cops
      [ move ]
    ;   Rule A: Determine if each agent should be active or quiet
    if breed = agents and jail-term = 0 [ determine-behavior ]
    ;  Rule C: Cops arrest a random active agent within their radius
    if breed = cops [ enforce ]
  ]
  
  ; Jailed agents get their term reduced at the end of each clock tick
  ; Avanzo el tiempo de carcel
  ask agents
    [ if jail-term > 0 [ set jail-term jail-term - 1 ] 
      if forget-days > 0 [ set forget-days forget-days - 1 ] 
      if forget-days = 0 [ set jail-total 0 ] ]
    
  ; update agent display
  ask agents [ display-agent ]
  ask cops [ display-cop ]
  ; advance clock and update plots
  tick
end

;; AGENT AND COP BEHAVIOR

;; move to an empty patch
to move ;; turtle procedure
  if movement? or (breed = cops) [
    ;; move to a patch in vision; candidate patches are
    ;; empty or contain only jailed agents
    let targets neighborhood with
                [not any? cops-here and all? agents-here [jail-term > 0]]
    if any? targets [ move-to one-of targets ]
  ]
end

;; AGENT BEHAVIOR

to determine-behavior ;; risk-aversion que tanto se atreve a arriesgarse la persona
  set active? ( ( ( gain / financial-capital ) - (risk-aversion * estimated-arrest-probability) + environment - jail-total ) > threshold)
end

to-report gain ;; Problematicas menos la legitimidad del gobierno
  report (2 * bribe)
end

;; Probabilidad de ser arrestado
to-report estimated-arrest-probability ;; Probabilidad de que te arresten
  let C count (cops-on neighborhood) ;; Ve el número de policias que tiene el vecindario
  let Total count agents-on neighborhood
  report ( C / Total )
end

;; AMBIENTE
to-report environment
  let A 1 + count (agents-on neighborhood) with [active?]
  let Ex 1 + count (agents-on neighborhood) with [jail-total > 0]
  let Total count agents-on neighborhood
  report ((A - Ex) / Total)
end

;; COP BEHAVIOR
to enforce ;; Si hay un agente alborotando
  if (random 100 < k) [
    if any? (agents-on neighborhood) with [active?] [
      ;; arrest suspect
      let suspect one-of (agents-on neighborhood) with [active?] ;; Busco uno y lo arresto
      ask suspect [ ;; arresto
        set active? false 
        let jail random max-jail-term
        set jail-term jail
        set jail-total (jail-total + ( jail / max-jail-term))
        set forget-days (max-jail-term * forget)
      ]
      move-to suspect  ;; move to patch of the jailed agent
    ]
  ]
end

;; VISUALIZATION OF AGENTS AND COPS

to display-agent  ;; agent procedure
  ifelse visualization = "2D"
    [ display-agent-2D ]
    [ display-agent-3D ]
end

to display-agent-2D  ;; agent procedure
  set shape "circle"
  ifelse active?
    [ set color red ]
    [ ifelse jail-term > 0
        [ set color black + 3 ]
        [ set color green ] ]
end

to display-agent-3D  ;; agent procedure
  set color scale-color green gain 1.5 -0.5
  ifelse active?
    [ set shape "person active" ]
    [ ifelse jail-term > 0
        [ set shape "person jailed" ]
        [ set shape "person quiet" ] ]
end

to display-cop
  set color cyan
  ifelse visualization = "2D"
    [ set shape "triangle" ]
    [ set shape "person soldier" ]
end


; Copyright 2004 Uri Wilensky.
; See Info tab for full copyright and license.
@#$#@#$#@
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@#$#@#$#@
## WHAT IS IT?

This project models the rebellion of a subjugated population against a central authority. It is is an adaptation of Joshua Epstein's model of civil violence (2002).

The population wanders around randomly. If their level of grievance against the central authority is high enough, and their perception of the risks involved is low enough, they openly rebel. A separate population of police officers ("cops"), acting on behalf of the central authority, seeks to suppress the rebellion. The cops wander around randomly and arrest people who are actively rebelling.

## HOW IT WORKS

Each "agent," or member of the general population, has an individual level of grievance toward the central authority. GRIEVANCE is based on the agent's PERCEIVED-HARDSHIP, which is assigned randomly at startup, and on GOVERNMENT-LEGITIMACY, which is global across agents and specified by a slider in the interface.

Each agent also calculates an individual risk of rebelling at the beginning of each turn.  This ESTIMATED-ARREST-PROBABILITY, is based on the number of cops and already rebelling agents within VISION patches, namely 1 - exp (- k * (C/A)<sub>v</sub>) --- where (C/A)<sub>v</sub> is the ratio of cops to active agents, and k is a constant set in "startup" to ensure a reasonable value when there is only one cop and one agent within a particular field of vision.  In our implementation, we changed one aspect of Epstein's description.  After dividing by C by A, we take the "floor" of the result (that is, round downwards to an integer).  Without this change, the model does not exhibit punctuated equilibrium.  The effect of the change is that if there are more rebels than cops in the neighborhood, the probability of arrest is zero, otherwise it is very nearly 1.0.  In other words, the rule could be written more simply as:

      ifelse A > C [ report 0 ] [ report 0.99 ]

An agent's NET-RISK is the product of the calculated ESTIMATED-ARREST-PROBABILITY and RISK-AVERSION randomly set for each agent at birth.

The model cycles through three different rules, known as M (move), A (agents) and C (cops):

- Movement rule M says that each cop and non-imprisoned agent moves to a random unoccupied site within VISION patches.

- Agent rule A says that if an agent's GRIEVANCE exceeds the NET-RISK by a small threshold (set by default to 0.1 in "setup"), the agent decides to rebel.  This is noted by changing the agent's border color from blue to red.  (It is also possible for the agent to move from rebellion to quiet, in which case the border color changes from red to blue.)

- Cop rule C says that each cop should look for active agents within VISION patches.  If at least one exists, the cop randomly selects one active agent and sends it to jail for a number of turns between 0 and MAX-JAIL-TERM (settable by a slider in the interface) and moves to the patch of the jailed agent. The patch of the jailed agent is considered unoccupied.

## HOW TO USE IT

Use the sliders to pick the initial settings for the model. INITIAL-COP-DENSITY and POPULATION-DENSITY respectively determine the density of cops and agents in the world. VISION determines the number of patches in each direction that agents and cops can see.

Click SETUP to initialize the population. Click GO to begin the simulation.

As the simulation runs, you can adjust GOVERNMENT-LEGITIMACY and MAX-JAIL-TERM. You can control the mobility of the agents through the MOVEMENT? toggle.

The visualization chooser allows you to choose between 2D visualization where the turtles are circles and triangles or 3D visualization where the agents have people shapes.

The color of the agents shows their private level of grievance. The darker the green, the higher the GRIEVANCE.  This color does not change throughout the run of a model (unless you change the GOVERNMENT-LEGITIMACY slider).

## THINGS TO NOTICE

Watch how agents exhibit deceptive behavior by changing their public state when cops are present, despite a constant level of private grievance. To see this press the WATCH ONE button, slow down the model, switch to the 3D view and zoom in on the selected agent. It may be easier to see this phenomenon if you change the sliders, especially reducing the VISION.

Watch the plot of active agents. Notice that it exhibits "punctuated equilibrium" --- periods of quiescence followed by periods of rebellion.

## THINGS TO TRY

Epstein claims that movement of the agents causes more frequent episodes of rebellion. Run the model with the MOVEMENT? switch on and off to see if you get this result.

Compare the effects of a gradual erosion in the perceived legitimacy of the central authority to a smaller, but immediate drop. For example, set GOVERNMENT-LEGITIMACY to 0.9 and reduce it to zero over 250 runs, plotting the legitimacy and the number of active agents. Now do another run, beginning with legitimacy at 0.9. This time, leave the legitimacy constant for 80 runs and then drop it to 0.7 at once. Observe the results. Try to explain them. Think of historical examples of this phenomena. What are the implications of this result for the strategy of revolutionary leaders?

Epstein quotes de Tocqueville: "It is not always when things are going from bad to worse that revolutions break out. On the contrary, it oftener happens that when a people that has put up with oppressive rule over a long period without protest suddenly finds the government relaxing its pressure, it takes up arms against it." Test de Tocqueville's observation in the model by comparing the effects of a gradual erosion in perceived legitimacy with a gradual erosion in the number of cops. Observe the results. Explain the difference.

## EXTENDING THE MODEL

Write a reporter procedure that reports `true` when there is a rebellion, `false` during quiescent periods.

Measure the intervals between episodes of rebellion. What is the distribution of these waiting times?

Try changing some of Epstein's assumptions as below. Do these changes create qualitative differences in results?

Change GOVERNMENT-LEGITIMACY such that it increases proportionally with the number of nearby jailed agents.

Change the model such that each agent's `grievance` is influenced by the value of other nearby agents.

## NETLOGO FEATURES

Note the use of a patch variable to store precomputed neighborhood agentsets.  This improves performance because the neighborhoods don't have to be calculated over and over again.

## CREDITS AND REFERENCES

This model, and the preceding explanation, is adapted from Joshua M. Epstein, "Modeling civil violence: An agent-based computational approach", Proceedings of the National Academy of Sciences, Vol. 99, Suppl. 3, May 14, 2002, and is available at http://www.pnas.org/content/99/suppl.3/7243.short


## HOW TO CITE

If you mention this model in a publication, we ask that you include these citations for the model itself and for the NetLogo software:

* Wilensky, U. (2004).  NetLogo Rebellion model.  http://ccl.northwestern.edu/netlogo/models/Rebellion.  Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL.

* Wilensky, U. (1999). NetLogo. http://ccl.northwestern.edu/netlogo/. Center for Connected Learning and Computer-Based Modeling, Northwestern University, Evanston, IL.

## COPYRIGHT AND LICENSE

Copyright 2004 Uri Wilensky.

![CC BY-NC-SA 3.0](http://ccl.northwestern.edu/images/creativecommons/byncsa.png)

This work is licensed under the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 License.  To view a copy of this license, visit http://creativecommons.org/licenses/by-nc-sa/3.0/ or send a letter to Creative Commons, 559 Nathan Abbott Way, Stanford, California 94305, USA.

Commercial licenses are also available. To inquire about commercial licenses, please contact Uri Wilensky at uri@northwestern.edu.

This model was created as part of the projects: PARTICIPATORY SIMULATIONS: NETWORK-BASED DESIGN FOR SYSTEMS LEARNING IN CLASSROOMS and/or INTEGRATED SIMULATION AND MODELING ENVIRONMENT. The project gratefully acknowledges the support of the National Science Foundation (REPP & ROLE programs) -- grant numbers REC #9814682 and REC-0126227.
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Polygon -16777216 true false 238 112 252 141 219 141 218 112
Circle -16777216 true false 234 174 42
Rectangle -7500403 true true 181 185 214 194
Circle -16777216 true false 144 174 42
Circle -16777216 true false 24 174 42
Circle -7500403 false true 24 174 42
Circle -7500403 false true 144 174 42
Circle -7500403 false true 234 174 42

turtle
true
0
Polygon -10899396 true false 215 204 240 233 246 254 228 266 215 252 193 210
Polygon -10899396 true false 195 90 225 75 245 75 260 89 269 108 261 124 240 105 225 105 210 105
Polygon -10899396 true false 105 90 75 75 55 75 40 89 31 108 39 124 60 105 75 105 90 105
Polygon -10899396 true false 132 85 134 64 107 51 108 17 150 2 192 18 192 52 169 65 172 87
Polygon -10899396 true false 85 204 60 233 54 254 72 266 85 252 107 210
Polygon -7500403 true true 119 75 179 75 209 101 224 135 220 225 175 261 128 261 81 224 74 135 88 99

wheel
false
0
Circle -7500403 true true 3 3 294
Circle -16777216 true false 30 30 240
Line -7500403 true 150 285 150 15
Line -7500403 true 15 150 285 150
Circle -7500403 true true 120 120 60
Line -7500403 true 216 40 79 269
Line -7500403 true 40 84 269 221
Line -7500403 true 40 216 269 79
Line -7500403 true 84 40 221 269

x
false
0
Polygon -7500403 true true 270 75 225 30 30 225 75 270
Polygon -7500403 true true 30 75 75 30 270 225 225 270

@#$#@#$#@
NetLogo 5.2.0
@#$#@#$#@
setup
repeat 5 [ go ]
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
default
0.0
-0.2 0 0.0 1.0
0.0 1 1.0 0.0
0.2 0 0.0 1.0
link direction
true
0
Line -7500403 true 150 150 90 180
Line -7500403 true 150 150 210 180

@#$#@#$#@
0
@#$#@#$#@
