nxn-imitate-best-nbr.nlogo

globals [
  payoff-matrix
  n-of-strategies
  n-of-players
]

patches-own [
  strategy
  strategy-after-revision
  payoff
  my-nbrs-and-me
  my-coplayers
  n-of-my-coplayers
]

to setup
  clear-all
  setup-payoffs
  setup-players
  setup-graph
  reset-ticks

  update-graph
  ask patches [update-color]
end

to setup-payoffs
  set payoff-matrix read-from-string payoffs
  set n-of-strategies length payoff-matrix
end

to setup-players
  let initial-distribution read-from-string n-of-players-for-each-strategy
  if length initial-distribution != length payoff-matrix [
    user-message (word "The number of items in\n"
      "n-of-players-for-each-strategy (i.e. "
      length initial-distribution "):\n" n-of-players-for-each-strategy
      "\nshould be equal to the number of rows\n"
      "in the payoff matrix (i.e. "
      length payoff-matrix "):\n"
      payoffs
    )
  ]

  if sum initial-distribution != count patches [
    user-message (word "The total number of agents in\n"
      "n-of-agents-for-each-strategy (i.e. "
      sum initial-distribution "):\n" n-of-players-for-each-strategy
      "\nshould be equal to the number of patches (i.e. "
      count patches ")"
    )
  ]

  ask patches [set strategy false]
  let i 0
  foreach initial-distribution [ j ->
    ask n-of j (patches with [strategy = false]) [
      set payoff 0
      set strategy i
      set strategy-after-revision strategy
      set my-nbrs-and-me (patch-set neighbors self)
      set my-coplayers ifelse-value self-matching?
         [my-nbrs-and-me] [neighbors]
      set n-of-my-coplayers (count my-coplayers)
    ]
    set i (i + 1)
  ]

  set n-of-players count patches
end

to setup-graph
  set-current-plot "Strategy Distribution"
  foreach (range n-of-strategies) [ i ->
    create-temporary-plot-pen (word i)
    set-plot-pen-mode 1
    set-plot-pen-color 25 + 40 * i
  ]
end

to go
  ifelse synchronous-updating?
    [
      ask patches [ play ]
      ask patches [ update-strategy-after-revision ]
          ;; here we are not updating the agent's strategy yet
      ask patches [ update-strategy ]
        ;; now we update every agent's strategy at the same time
    ]
    [
      ask patches [
        play
        ask my-coplayers [ play ]
           ;; since your coplayers' strategies or
           ;; your coplayers' coplayers' strategies
           ;; could have changed since the last time
           ;; your coplayers played
        update-strategy-after-revision
        update-strategy
      ]
    ]
  tick
  update-graph
  ask patches [update-color]
end

to play
  let n-of-coplayers-with-strategy-? n-values n-of-strategies [ i ->
    count my-coplayers with [strategy = i] ]
  let my-payoffs (item strategy payoff-matrix)
  set payoff sum (map * my-payoffs n-of-coplayers-with-strategy-?)
end

to update-strategy-after-revision
  set strategy-after-revision ifelse-value (random-float 1 < noise)
    [ random n-of-strategies ]
    [ [strategy] of one-of my-nbrs-and-me with-max [payoff] ]
end

to update-strategy
  set strategy strategy-after-revision
end

to update-graph
  let strategy-numbers (range n-of-strategies)
  let strategy-frequencies map [ n ->
    count patches with [strategy = n] / n-of-players ] strategy-numbers

  set-current-plot "Strategy Distribution"
  let bar 1
  foreach strategy-numbers [ n ->
    set-current-plot-pen (word n)
    plotxy ticks bar
    set bar (bar - (item n strategy-frequencies))
  ]
  set-plot-y-range 0 1
end

to update-color
  set pcolor 25 + 40 * strategy
end
@#$#@#$#@
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ticks
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PLOT
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Strategy Distribution
NIL
NIL
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true
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"" ""
PENS

BUTTON
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NIL
setup
NIL
1
T
OBSERVER
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BUTTON
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go
T
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OBSERVER
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BUTTON
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go once
go
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T
OBSERVER
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MONITOR
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n-of-players
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SWITCH
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self-matching?
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SWITCH
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SLIDER
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noise
noise
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NIL
HORIZONTAL

INPUTBOX
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n-of-players-for-each-strategy
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1
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String (reporter)

INPUTBOX
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payoffs
[[ -1  2  -1]\n [  0  1   1]\n [ -1  1   1]]
1
1
String (reporter)

@#$#@#$#@
## WHAT IS IT?

(a general understanding of what the model is trying to show or explain)

## HOW IT WORKS

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

## 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

(a reference to the model's URL on the web if it has one, as well as any other necessary credits, citations, and links)
@#$#@#$#@
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@#$#@#$#@
NetLogo 6.3.0
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
@#$#@#$#@
default
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@#$#@#$#@
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