cooperation_diversity_reputation_turtle.nlogo

;;
;; turtles atributes
;;
turtles-own [
  contribution ;; player's contribution: 1 - contributor, green, 0 - free-rider, black
  income ;; income from the last round
  neighborhood ;; group of players used for playng the game
]

;; cooperators fraction in last 1000 steps
globals [
  cooperators1k
]

;;
;; setup the world
;;
to setup
  clear-all
  set cooperators1k []
  setup-world
  setup-turtles
  reset-ticks
end

;;
;; main subroutine
;;
to go
  ;; play the public goods game for all turtles
  ask turtles [
    play-pgg
  ]
  ;; udate the strategy using the cumulative income from the round
  ask turtles [
    ;; calculate new strategy
    imitate-strategy
    ;; update visual representation
    update-colors
    ;; reset the income for the next round
    set income 0
  ]

  ;; update the list with cooperators-fraction
  update-cooperators1k

  ;; finish the round
  tick

end

;;
;; world initialization
;;
to setup-world
  ;; make the world with custom size
  resize-world 0 (world-size - 1) 0 (world-size - 1)
  ;; heuristic scaling of the patch size
  set-patch-size floor ( 64 / (sqrt world-size) )

  ask patches [
    ;; make all patches white
    set pcolor white
    ;; add one turtle to each patch
    sprout 1
  ]
end

;;
;; setup routine
;; contains selection of the initial strategies
;;
to setup-turtles
  ask turtles [

    ;; choose which neighborhood to use
    (ifelse neighborhood-type = "von Neumann" [
      set neighborhood neighbors4
    ] neighborhood-type = "Moore" [
      set neighborhood neighbors
    ] neighborhood-type = "random von Neumann" [
      set neighborhood n-of (1 + random 4 ) neighbors4
    ] neighborhood-type = "random Moore" [
      set neighborhood n-of (1 + random 8 ) neighbors
    ] neighborhood-type = "random von Neumann or Moore" [
      ifelse random 1 = 0 [
        set neighborhood n-of (1 + random 8 ) neighbors
      ][
        set neighborhood n-of (1 + random 4 ) neighbors4
      ]
    ] neighborhood-type = "von Neumann or Moore" [
      ifelse random 1 = 0 [
        set neighborhood neighbors
      ][
        set neighborhood neighbors4
      ]
    ])

    ;; initialize the income
    set income 0
    ;; randomly assign initial strategies
    ifelse random-float 1.0 < 0.5 [
      set contribution 1 ;; cooperator
    ] [
      set contribution 0 ;; no contribution, free-rider
    ]
    update-colors
  ]
end

;;
;; helper function to update visual aspects of turtles
;;
to update-colors
  ifelse contribution = 1 [
    set color green
  ][
    set color black
  ]
end

;;
;; evolution routine
;;
to play-pgg

  ;; calculate the payoff
  let game-gain ( synergy-factor * (contribution + sum [ contribution ] of turtles-on neighborhood) / (1 + count turtles-on neighborhood) )

  set income income + game-gain - contribution

  ask turtles-on neighborhood [
    set income income + game-gain - contribution
  ]

end


to imitate-strategy
  ;; select one of the neighbors
  let my-neighbor one-of turtles-on neighborhood
  let my-neighbor-income [ income ] of my-neighbor

  ;; select new strategy using Fermi-Dirac function
  if random-float 1.0 < 1 / (1 + exp ( ( income - my-neighbor-income  ) / noise-factor  ) )   [
    set contribution [ contribution ] of my-neighbor
  ]

end

;;
;; reporters
;;

to-report cooperators-fraction
  report count turtles with [ contribution = 1 ] / count turtles
end

to update-cooperators1k
  ;; add current vale of cooperators-fraction to the list cooperators1k
  set cooperators1k fput cooperators-fraction cooperators1k
end

to-report mean-cooperators1k
  ifelse ticks >= 1000 [
    report mean n-of 1000 cooperators1k
  ][
    report 0
  ]
end
@#$#@#$#@
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"" ""
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@#$#@#$#@
## WHAT IS IT?

Public Goods Game with some modifications.

## HOW IT WORKS

(what rules the agents use to create the overall behavior of the model)

Interaction diversity - different number of neighbours to interact with and to learn from.

## HOW TO USE IT

(how to use the model, including a description of each of the items in the Interface tab)

## THINGS TO NOTICE

(suggested things for the user to notice while running the model)

## THINGS TO TRY

(suggested things for the user to try to do (move sliders, switches, etc.) with the model)

## EXTENDING THE MODEL

(suggested things to add or change in the Code tab to make the model more complicated, detailed, accurate, etc.)

## NETLOGO FEATURES

(interesting or unusual features of NetLogo that the model uses, particularly in the Code tab; or where workarounds were needed for missing features)

## RELATED MODELS

(models in the NetLogo Models Library and elsewhere which are of related interest)

## CREDITS AND REFERENCES

Lihui Shang, Sihao Sun, Jun Ai, and Zhan Su. Cooperation enhanced by the interaction diversity for the spatial public goods game on regular lattices. Physica A: Statistical Mechanics and its Applications, 593:126999 DOI:10.1016/j.physa.2022.126999
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@#$#@#$#@
NetLogo 6.3.0
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@#$#@#$#@
@#$#@#$#@
<experiments>
  <experiment name="cooperators-stationary-synergy-200" repetitions="100" runMetricsEveryStep="false">
    <setup>setup</setup>
    <go>go</go>
    <timeLimit steps="5000"/>
    <metric>mean-cooperators1k</metric>
    <enumeratedValueSet variable="noise-factor">
      <value value="0.5"/>
    </enumeratedValueSet>
    <steppedValueSet variable="synergy-factor" first="2" step="0.1" last="5.5"/>
    <enumeratedValueSet variable="neighborhood-type">
      <value value="&quot;von Neumann&quot;"/>
      <value value="&quot;Moore&quot;"/>
      <value value="&quot;random von Neumann&quot;"/>
      <value value="&quot;random Moore&quot;"/>
      <value value="&quot;random von Neumann or Moore&quot;"/>
    </enumeratedValueSet>
    <enumeratedValueSet variable="world-size">
      <value value="200"/>
    </enumeratedValueSet>
  </experiment>
</experiments>
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