# Voter dynamics in complex networks

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globals [ average-path-length ;; average path length of the network average-path-length-of-lattice ;; average path length of the initial lattice cal ;; background colouring stuff clustering-coefficient ;; the clustering coefficient of the network; this is the ;; average of clustering coefficients of all turtles clustering-coefficient-of-lattice ;; the clustering coefficient of the initial lattice highlight-string ;; message that appears on the node properties monitor idea ;; number of active links infinity ;; a very large number ;; used to denote distance between two turtles which ;; don't have a connected or unconnected path between them network ;; records the kind of network that has been generated number-rewired ;; number of edges that have been rewired. used for plots partner2 ;; in B�rab�si-Albert network with degree 2, to compare the two ;; neighbours chosen and check they are not the same rewire-one? ;; these two variables record which button was last pushed rewire-all? tick? ;; if a node of degree 0 is chosen, there's no need to tick yrad ;; this three are used to measure the lattice rad nume ] turtles-own [ opinion ;; because colour might be lost when highlighting, another ;; magnitude is needed to save the nodes' opinion node-clustering-coefficient distance-from-other-turtles ;; list of distances of this node from other turtles ] links-own [ rewired? ;; keeps track of whether the link has been rewired or not ] ;;ALLOCATION OF OPINIONS, VOTING, HIGHLIGHTING AND MORE*************************** ;;******************************************************************************** ;;******************************************************************************** ;; called by set structure to wire ask links [ ifelse [color] of end1 = [color] of end2 ;; likns between equal nodes will take their colour, whereas those between different nodes are black, ;; and known as "active" [ set color [color] of end1 ] [ ask patch 0 0 [set cal pcolor] ifelse cal = black [set color white] [set color black] ] ] if structure = "random" [ ask turtles [ setxy random-xcor random-ycor ] ] if structure = "circle" [ layout-circle turtles (world-width / 2 - 1) ] if structure = "radial" [ layout-radial turtles links (turtle 0) ] if structure = "tutte" [ repeat 10 [ layout-tutte (turtles with [count link-neighbors <= 4]) links 12 ] ] do-plots do-plotting end ;; draw! is called by "set opinions" button and is also used to reset opinions to draw! reset-ticks set-current-plot "totals" clear-plot ask turtles [ let col random diversity-of-opinions ;; col is used to assign opinions with equal chances if col < 1 [ set opinion 1 set color red ] if (col > 0.9) and (col < 2) [ set opinion 2 set color blue ] if (col > 1.9) and (col < 3) [ set opinion 3 set color green ] if (col > 2.9) and (col < 4) [ set opinion 4 set color turquoise ] if (col > 3.9) and (col < 5) [ set opinion 5 set color brown ] if (col > 4.9) and (col < 6) [ set opinion 6 set color violet ] if (col > 5.9) and (col < 7) [ set opinion 7 set color orange ] ] wire end to color-who [a] ask turtle a [ if [opinion] of turtle a = 1 [ set color red ] if [opinion] of turtle a = 2 [ set color blue ] if [opinion] of turtle a = 3 [ set color green ] if [opinion] of turtle a = 4 [ set color turquoise ] if [opinion] of turtle a = 5 [ set color brown ] if [opinion] of turtle a = 6 [ set color violet ] if [opinion] of turtle a = 7 [ set color orange ] ] end to color-all ask turtles [ if [opinion] of turtle who = 1 [ set color red ] if [opinion] of turtle who = 2 [ set color blue ] if [opinion] of turtle who = 3 [ set color green ] if [opinion] of turtle who = 4 [ set color turquoise ] if [opinion] of turtle who = 5 [ set color brown ] if [opinion] of turtle who = 6 [ set color violet ] if [opinion] of turtle who = 7 [ set color orange ] ] end to reprint ;; this option will refresh link and node colours color-all ask links [ ifelse [color] of end1 = [color] of end2 [ set color [color] of end1 ] [ ask patch 0 0 [set cal pcolor] ifelse cal = black [set color white] [set color black] ] ] end to highlight ;; remove any previous highlights ask turtles [ set color gray ] ask links [ set color gray + 2 ] if mouse-inside? [ do-highlight ] display end to do-highlight ;; getting the node closest to the mouse let min-d min [distancexy mouse-xcor mouse-ycor] of turtles let a-turtle one-of turtles with [count link-neighbors > 0 and distancexy mouse-xcor mouse-ycor = min-d] if a-turtle != nobody [ ;; highlight the chosen node ask a-turtle [ color-who who ;; let pairs (length remove infinity distance-from-other-nodos) ;; let local-val (sum remove infinity distance-from-other-nodos) / pairs ;; show node's clustering coefficient ;; set highlight-string (word "clustering coefficient = " precision nodo-clustering-coefficient 3 ;; " and avg path length = " precision local-val 3 ;; " (for " pairs " nodos )") ] let neighbor-turtles [ link-neighbors ] of a-turtle ;let direct-links [ my-links ] of node ;; highlight neighbors ask neighbor-turtles [ color-who who ;; highlight edges connecting the chosen node to its neighbors ask my-links [ if (end1 = a-turtle or end2 = a-turtle) [ ifelse [opinion] of end1 = [opinion] of end2 [set color [color] of end1] [set color black] ; ] ; [ ; if (member? end1 neighbor-nodes and member? end2 neighbor-nodes) ;; activa triangulos cerrados, agregar else en el if anteriorc y descomentar ; [ set color yellow ] ; ] ] ] ] end ;; resize-nodes, change back and forth from size based on degree to a size of 1 to resize-nodes ifelse all? turtles [size <= 1] [ ;; a node is a circle with diameter determined by ;; the SIZE variable; using SQRT makes the circle's ;; area proportional to its degree ask turtles [ set size sqrt count link-neighbors ] ] [ ask turtles [ set size 1 ] ] end to vote go2 ;; go2 allows user to move nodes countactive if idea < 1 [stop] ;; stop when there are no active links left ask one-of turtles [ ;; chooses only a node with neighbours, otherwise there will be no tick ifelse any? link-neighbors [ ;; let is used so the colour and opinion adopted belong to the same node let node [who] of one-of link-neighbors set color [color] of turtle node set opinion [opinion] of turtle node set tick? 1 ] [set tick? 2] ] if tick? = 1 [ if reprint? [reprint] tick do-plots] end ;; to count active links even without colour to countactive set idea 0 ask links [ if [opinion] of end1 != [opinion] of end2 [ set idea (idea + 1) ] ] end ;; to move nodes while voting to go2 if mouse-down? [ ;; find the closest node let grabbed min-one-of turtles [distancexy mouse-xcor mouse-ycor] ;; loop until the mouse button is released while [mouse-down?] [ ask grabbed [ setxy mouse-xcor mouse-ycor ] display ] ] end ;;LATTICE SPECIFICATIONS********************************************************** ;;******************************************************************************** ;;******************************************************************************** to setup-Lattice clear-all ;; set network 4 set-default-shape turtles "circle" ask patches [ set pcolor white ] set rad 0 set yrad 0 ifelse side mod 2 = 0 [ set nume (side / 2) ] [ set nume ((side - 1) / 2) ] ask patch 0 0 [ sprout 1 ] while [ rad < nume ] [ ask patch (rad + 1) 0 [ sprout 1] ask patch (-(rad + 1)) 0 [ sprout 1] set rad (rad + 1) ] while [ yrad < nume ] [ ask patch 0 (yrad + 1) [ sprout 1 ] ask patch 0 (-(yrad + 1)) [ sprout 1 ] set rad 0 while [ rad < nume ] [ ask patch (rad + 1) (yrad + 1) [ sprout 1] ask patch (-(rad + 1)) (yrad + 1) [ sprout 1] ask patch (rad + 1) (-(yrad + 1)) [ sprout 1] ask patch (-(rad + 1)) (-(yrad + 1)) [ sprout 1] set rad (rad + 1) ] set yrad (yrad + 1) ] if wrap [ask patch nume 0 [ ask turtles-here [ create-links-with turtles with [(xcor = (- nume)) and (ycor = 0)] ] ] set yrad 1 while [ yrad <= nume ] [ ask patch nume yrad [ ask turtles-here [ create-links-with turtles with [(xcor = (- nume)) and (ycor = yrad)] ] ] ask patch nume (- yrad) [ ask turtles-here [ create-links-with turtles with [(xcor = (- nume)) and (ycor = (- yrad))] ] ] set yrad (yrad + 1) ] ask patch 0 nume [ ask turtles-here [ create-links-with turtles with [(xcor = 0) and (ycor = (- nume))] ] ] set rad 1 while [ rad <= nume ] [ ask patch rad nume [ ask turtles-here [ create-links-with turtles with [(xcor = rad) and (ycor = (- nume))] ] ] ask patch (- rad) nume [ ask turtles-here [ create-links-with turtles with [(xcor = (- rad)) and (ycor = (- nume))] ] ] set rad (rad + 1) ] ] ask patches [ ask turtles-here [ create-links-with other turtles in-radius 1 ] ] reset-ticks end to layout-spr layout-spring turtles links constant long repulsion display end ;;END OF LATICE SPECIFICATIONS**************************************************** ;;******************************************************************************** ;;******************************************************************************** ;;ERDOS-RENY SPECIFICATIONS******************************************************* ;;******************************************************************************** ;;******************************************************************************** to setup-Erdos-Reny clear-all set network 1 set-default-shape turtles "circle" ask patches [ set pcolor white ] create-turtles number-of-nodes ask turtles [ setxy random-xcor random-ycor ;; ER networks will be given opinion without draw! yet nothing prevents the sceptical ;; user to use draw! afterwards, which will only repeat the process let col random diversity-of-opinions if col < 1 [ set opinion 1 set color red ] if (col > 0.9) and (col < 2) [ set opinion 2 set color blue ] if (col > 1.9) and (col < 3) [ set opinion 3 set color green ] if (col > 2.9) and (col < 4) [ set opinion 4 set color turquoise ] if (col > 3.9) and (col < 5) [ set opinion 5 set color brown ] if (col > 4.9) and (col < 6) [ set opinion 6 set color violet ] if (col > 5.9) and (col < 7) [ set opinion 7 set color orange ] ] while [ (count links < links-number) and (count links < number-of-nodes * (number-of-nodes - 1) / 2) ] [ ask one-of turtles [ create-link-with one-of other turtles ] ] if structure = "circle" [ layout-circle turtles (world-width / 2 - 1) ] reset-ticks end ;;END OF ERDOS-RENY SPECIFICATIONS************************************************ ;;******************************************************************************** ;;******************************************************************************** ;;BARABASI SPECIFICATIONS********************************************************* ;;******************************************************************************** ;;******************************************************************************** ;;;;;;;;;;;;;;;;;;;;;;;; ;;; Setup Procedures ;;; ;;;;;;;;;;;;;;;;;;;;;;;; to setup-BA clear-all set network 2 ask patches [set pcolor white] set-default-shape turtles "circle" ;; make the initial network of two (three) turtles and an edge (three) make-node nobody ;; first node, unattached make-node turtle 0 ;; second node, attached to first node if degree? = "2" [ make-node turtle 1 ask turtle 2 [ create-link-with turtle 0 ] ] ;; if degree is two, then adds the node and links reset-ticks end ;;;;;;;;;;;;;;;;;;;;;;; ;;; Main Procedures ;;; ;;;;;;;;;;;;;;;;;;;;;;; to go ;; new edge is green, old edges are gray ask links [ set color gray - 2 ] if degree? = "1" [ make-node find-partner ;; find partner & use it as attachment ] ;; point for new node if degree? = "2" [ create-turtles 1 set partner2 1 ;; if the future partners turn out to be the same, then partner2 is made 1 and the loop is repeated while [partner2 > 0] [let turt1 find-partner let turtle2 find-partner ifelse turt1 = turtle2 [set partner2 1] [set partner2 0 ask max-one-of turtles [who] [create-link-with turt1 create-link-with turtle2]] ;; the last turtle added makes the new links ] ] tick if layout? [ layout ] if plot? [ do-plotting ] end ;; used for creating a new node to make-node [old-node] crt 1 [ set color red if old-node != nobody [ create-link-with old-node [ set color green ] ;; position the new node near its partner move-to old-node fd 8 ] ] end ;; This code is borrowed from Lottery Example (in the Code Examples ;; section of the Models Library). ;; The idea behind the code is a bit tricky to understand. ;; Basically we take the sum of the degrees (number of connections) ;; of the turtles, and that's how many "tickets" we have in our lottery. ;; Then we pick a random "ticket" (a random number). Then we step ;; through the turtles to figure out which node holds the winning ticket. to-report find-partner ;; endSearch is a random number up to the total number of links let endSearch random-float sum [count link-neighbors] of turtles let partner nobody ask turtles [ let nc count link-neighbors ;; if there's no winner yet... if partner = nobody [ ifelse nc > endSearch [ set partner self ] ;; Because we now have a partner the ifelse will be ignored now. [ set endSearch endSearch - nc ] ] ] report partner end ;;;;;;;;;;;;;; ;;; Layout ;;; ;;;;;;;;;;;;;; to layout ;; the number 3 here is arbitrary; more repetitions slows down the ;; model, but too few gives poor layouts repeat 3 [ ;; the more turtles we have to fit into the same amount of space, ;; the smaller the inputs to layout-spring we'll need to use let factor sqrt count turtles ;; numbers here are arbitrarily chosen for pleasing appearance layout-spring turtles links (1 / factor) (7 / factor) (1 / factor) display ;; for smooth animation ] ;; don't bump the edges of the world let x-offset max [xcor] of turtles + min [xcor] of turtles let y-offset max [ycor] of turtles + min [ycor] of turtles ;; big jumps look funny, so only adjust a little each time set x-offset limit-magnitude x-offset 0.1 set y-offset limit-magnitude y-offset 0.1 ask turtles [ setxy (xcor - x-offset / 2) (ycor - y-offset / 2) ] end to-report limit-magnitude [number2 limit] if number2 > limit [ report limit ] if number2 < (- limit) [ report (- limit) ] report number2 end ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ; note that subtle modfications might have been applied to the model by Uri Wilensky: ; *** NetLogo 4.0.2 Model Copyright Notice *** ; ; Copyright 2005 by Uri Wilensky. All rights reserved. ; ; Permission to use, modify or redistribute this model is hereby granted, ; provided that both of the following requirements are followed: ; a) this copyright notice is included. ; b) this model will not be redistributed for profit without permission ; from Uri Wilensky. ; Contact Uri Wilensky for appropriate licenses for redistribution for ; profit. ; ; To refer to this model in academic publications, please use: ; Wilensky, U. (2005). NetLogo Preferential Attachment model. ; http://ccl.northwestern.edu/netlogo/models/PreferentialAttachment. ; Center for Connected Learning and Computer-Based Modeling, ; Northwestern University, Evanston, IL. ; ; In other publications, please use: ; Copyright 2005 Uri Wilensky. All rights reserved. ; See http://ccl.northwestern.edu/netlogo/models/PreferentialAttachment ; for terms of use. ; ; *** End of NetLogo 4.0.2 Model Copyright Notice *** ;;END OF BARABASI-ALBERT SPECIFICATIONS**************************************** ;;***************************************************************************** ;;***************************************************************************** ;;WATTS-STROGATZ SPECIFICATIONS*************************************************** ;;******************************************************************************** ;;******************************************************************************** ;;;;;;;;;;;;;;;;;;;;;;;; ;;; Setup Procedures ;;; ;;;;;;;;;;;;;;;;;;;;;;;; to startup set highlight-string "" end to setup-WS clear-all ask patches [set pcolor white] set network 3 set infinity 99999 ;; just an arbitrary choice for a large number set-default-shape turtles "circle" make-turtles ;; set up a variable to determine if we still have a connected network ;; (in most cases we will since it starts out fully connected) let success? false while [not success?] [ ;; we need to find initial values for lattice wire-them ;;calculate average path length and clustering coefficient for the lattice set success? do-calculations ] ;; setting the values for the initial lattice set clustering-coefficient-of-lattice clustering-coefficient set average-path-length-of-lattice average-path-length set number-rewired 0 set highlight-string "" reset-ticks end to make-turtles crt number-of-nodes [ set color gray + 2 ] ;; arrange them in a circle in order by who number layout-circle (sort turtles) max-pxcor - 1 end ;;;;;;;;;;;;;;;;;;;;;;; ;;; Main Procedure ;;; ;;;;;;;;;;;;;;;;;;;;;;; to rewire-one ;; make sure num-turtles is setup correctly else run setup first if count turtles != number-of-nodes [ setup-WS ] ;; record which button was pushed set rewire-one? true set rewire-all? false let potential-edges links with [ not rewired? ] ifelse any? potential-edges [ ask one-of potential-edges [ ;; "a" remains the same let node1 end1 ;; if "a" is not connected to everybody if [ count link-neighbors ] of end1 < (count turtles - 1) [ ;; find a node distinct from node1 and not already a neighbor of node1 let node2 one-of turtles with [ (self != node1) and (not link-neighbor? node1) ] ;; wire the new edge ask node1 [ create-link-with node2 [ set color cyan set rewired? true ] ] set number-rewired number-rewired + 1 ;; counter for number of rewirings ;; remove the old edge die ] ] ;; plot the results let connected? do-calculations ] [ user-message "all edges have already been rewired once" ] end to rewire-all ;; make sure num-turtles is setup correctly; if not run setup first if count turtles != number-of-nodes [ setup-WS ] ;; record which button was pushed set rewire-one? false set rewire-all? true ;; set up a variable to see if the network is connected let success? false ;; if we end up with a disconnected network, we keep trying, because the APL distance ;; isn't meaningful for a disconnected network. while [not success?] [ ;; kill the old lattice, reset neighbors, and create new lattice ask links [ die ] wire-them set number-rewired 0 ask links [ ;; whether to rewire it or not? if (random-float 1) < rewiring-probability [ ;; "a" remains the same let node1 end1 ;; if "a" is not connected to everybody if [ count link-neighbors ] of end1 < (count turtles - 1) [ ;; find a node distinct from node1 and not already a neighbor of node1 let node2 one-of turtles with [ (self != node1) and (not link-neighbor? node1) ] ;; wire the new edge ask node1 [ create-link-with node2 [ set color cyan set rewired? true ] ] set number-rewired number-rewired + 1 ;; counter for number of rewirings set rewired? true ] ] ;; remove the old edge if (rewired?) [ die ] ] ;; check to see if the new network is connected and calculate path length and clustering ;; coefficient at the same time set success? do-calculations ] end ;; do-calculations reports true if the network is connected, ;; and reports false if the network is disconnected. ;; (In the disconnected case, the average path length does not make sense, ;; or perhaps may be considered infinite) to-report do-calculations ;; set up a variable so we can report if the network is disconnected let connected? true ;; find the path lengths in the network find-path-lengths let num-connected-pairs sum [length remove infinity (remove 0 distance-from-other-turtles)] of turtles ;; In a connected network on N nodes, we should have N(N-1) measurements of distances between pairs, ;; and none of those distances should be infinity. ;; If there were any "infinity" length paths between nodes, then the network is disconnected. ;; In that case, calculating the average-path-length doesn't really make sense. ifelse ( num-connected-pairs != (count turtles * (count turtles - 1) )) [ set average-path-length infinity ;; report that the network is not connected set connected? false ] [ set average-path-length (sum [sum distance-from-other-turtles] of turtles) / (num-connected-pairs) ] ;; find the clustering coefficient and add to the aggregate for all iterations find-clustering-coefficient ;; report whether the network is connected or not report connected? end ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;; Clustering computations ;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; to-report in-neighborhood? [ hood ] report ( member? end1 hood and member? end2 hood ) end to find-clustering-coefficient ifelse all? turtles [count link-neighbors <= 1] [ ;; it is undefined ;; what should this be? set clustering-coefficient 0 ] [ let total 0 ask turtles with [ count link-neighbors <= 1] [ set node-clustering-coefficient "undefined" ] ask turtles with [ count link-neighbors > 1] [ let hood link-neighbors set node-clustering-coefficient (2 * count links with [ in-neighborhood? hood ] / ((count hood) * (count hood - 1)) ) ;; find the sum for the value at turtles set total total + node-clustering-coefficient ] ;; take the average set clustering-coefficient total / count turtles with [count link-neighbors > 1] ] end ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;;; Path length computations ;;; ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ;; Implements the Floyd Warshall algorithm for All Pairs Shortest Paths ;; It is a dynamic programming algorithm which builds bigger solutions ;; from the solutions of smaller subproblems using memoization that ;; is storing the results. ;; It keeps finding incrementally if there is shorter path through ;; the kth node. ;; Since it iterates over all turtles through k, ;; so at the end we get the shortest possible path for each i and j. to find-path-lengths ;; reset the distance list ask turtles [ set distance-from-other-turtles [] ] let i 0 let j 0 let k 0 let node1 one-of turtles let node2 one-of turtles let node-count count turtles ;; initialize the distance lists while [i < node-count] [ set j 0 while [j < node-count] [ set node1 turtle i set node2 turtle j ;; zero from a node to itself ifelse i = j [ ask node1 [ set distance-from-other-turtles lput 0 distance-from-other-turtles ] ] [ ;; 1 from a node to it's neighbor ifelse [ link-neighbor? node1 ] of node2 [ ask node1 [ set distance-from-other-turtles lput 1 distance-from-other-turtles ] ] ;; infinite to everyone else [ ask node1 [ set distance-from-other-turtles lput infinity distance-from-other-turtles ] ] ] set j j + 1 ] set i i + 1 ] set i 0 set j 0 let dummy 0 while [k < node-count] [ set i 0 while [i < node-count] [ set j 0 while [j < node-count] [ ;; alternate path length through kth node set dummy ( (item k [distance-from-other-turtles] of turtle i) + (item j [distance-from-other-turtles] of turtle k)) ;; is the alternate path shorter? if dummy < (item j [distance-from-other-turtles] of turtle i) [ ask turtle i [ set distance-from-other-turtles replace-item j distance-from-other-turtles dummy ] ] set j j + 1 ] set i i + 1 ] set k k + 1 ] end ;;;;;;;;;;;;;;;;;;;;;;; ;;; Edge Operations ;;; ;;;;;;;;;;;;;;;;;;;;;;; ;; creates a new lattice to wire-them ;; iterate over the turtles let n 0 while [n < count turtles] [ ;; make edges with the next two neighbors ;; this makes a lattice with average degree of 4 make-edge turtle n turtle ((n + 1) mod count turtles) if dist? = "2" [ make-edge turtle n turtle ((n + 2) mod count turtles) ] set n n + 1 ] end ;; connects the two turtles to make-edge [node1 node2] ask node1 [ create-link-with node2 [ set rewired? false ] ] end ;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;; ; note that subtle modfications might have been applied to the model by Uri Wilensky: ; *** NetLogo 4.0.3 Model Copyright Notice *** ; ; Copyright 2005 by Uri Wilensky. All rights reserved. ; ; Permission to use, modify or redistribute this model is hereby granted, ; provided that both of the following requirements are followed: ; a) this copyright notice is included. ; b) this model will not be redistributed for profit without permission ; from Uri Wilensky. ; Contact Uri Wilensky for appropriate licenses for redistribution for ; profit. ; ; To refer to this model in academic publications, please use: ; Wilensky, U. (2005). NetLogo Small Worlds model. ; http://ccl.northwestern.edu/netlogo/models/SmallWorlds. ; Center for Connected Learning and Computer-Based Modeling, ; Northwestern University, Evanston, IL. ; ; In other publications, please use: ; Copyright 2005 Uri Wilensky. All rights reserved. ; See http://ccl.northwestern.edu/netlogo/models/SmallWorlds ; for terms of use. ; ; *** End of NetLogo 4.0.3 Model Copyright Notice *** ;;END OF WATTS-STROGATZ SPECIFICATIONS******************************************** ;;******************************************************************************** ;;******************************************************************************** ;;TO PLOT, PLOTTING AND PLOTTING2************************************************* ;;******************************************************************************** ;;******************************************************************************** to do-plots set-current-plot "totals" set-current-plot-pen "active" plot idea / count links if opinions-to-plot > 0 [ set-current-plot-pen "red" plot count links with [ color = red ] / count links ] if opinions-to-plot > 1 [ set-current-plot-pen "blue" plot count links with [ color = blue ] / count links ] if opinions-to-plot > 2 [ set-current-plot-pen "green" plot count links with [ color = green ] / count links ] if opinions-to-plot > 3 [ set-current-plot-pen "turquoise" plot count links with [ color = turquoise ] / count links ] if opinions-to-plot > 4 [ set-current-plot-pen "brown" plot count links with [ color = brown ] / count links ] if opinions-to-plot > 5 [ set-current-plot-pen "violet" plot count links with [ color = violet ] / count links ] if opinions-to-plot > 6 [ set-current-plot-pen "orange" plot count links with [ color = orange ] / count links ] end ;;;;;;;;;;;;;;;; ;;; Plotting ;;; ;;;;;;;;;;;;;;;; to do-plotting ;; plotting procedure let max-degree max [count link-neighbors] of turtles set-current-plot "Degree Distribution" plot-pen-reset ;; erase what we plotted before set-plot-x-range 1 (max-degree + 1) ;; + 1 to make room for the width of the last bar histogram [count link-neighbors] of turtles ;; for this plot, the axes are logarithmic, so we can't ;; use "histogram-from"; we have to plot the points ;; ourselves one at a time set-current-plot "Degree Distribution (log-log)" plot-pen-reset ;; erase what we plotted before ;; the way we create the network there is never a zero degree node, ;; so start plotting at degree one let degree 1 while [degree <= max-degree] [ let matches turtles with [count link-neighbors = degree] if any? matches [ plotxy log degree 10 log (count matches) 10 ] set degree degree + 1 ] end ;;;;;;;;;;;;;;;; ;;; Plotting ;;; ;;;;;;;;;;;;;;;; to do-plotting2 if rewire-one? [ ;; plot the rewire-one graph set-current-plot "Network Properties WS" set-current-plot-pen "apl" ;; note: dividing by value at initial value to normalize the plot plotxy number-rewired / count links average-path-length / average-path-length-of-lattice set-current-plot-pen "cc" ;; note: dividing by initial value to normalize the plot plotxy number-rewired / count links clustering-coefficient / clustering-coefficient-of-lattice ] if rewire-all? [ ;; plot the rewire-all graph set-current-plot "Network Properties WS" set-current-plot-pen "apl" ;; note: dividing by value at initial value to normalize the plot plotxy rewiring-probability average-path-length / average-path-length-of-lattice set-current-plot-pen "cc" ;; note: dividing by initial value to normalize the plot plotxy rewiring-probability clustering-coefficient / clustering-coefficient-of-lattice ] end ; *** NetLogo 4.0.2 Model Copyright Notice *** ; ; Copyright 2008 by Pablo Gonz�lez de Prado Salas and Juan Carlos Gonz�lez. ; All rights reserved. ; ; Permission to use, modify or redistribute this model is hereby granted, ; provided that both of the following requirements are followed: ; a) this copyright notice is included. ; b) this model will not be redistributed for profit without permission ; from Pablo Gonz�lez de Prado Salas and Juan Carlos Gonz�lez. ; Contact Pablo Gonz�lez de Prado Salas for appropriate licenses for redistribution for ; profit. pablogps86@gmail.com ; ; To refer to this model in academic publications, please use: ; Pablo Gonz�lez de Prado Salas and Juan Carlos Gonz�lez. (2008). NetLogo Voter model. ; IFISC ; ; (And please let us know!) ; ; In other publications, please use: ; Copyright 2008 Pablo Gonz�lez de Prado Salas and Juan Carlos Gonz�lez. ; All rights reserved. ; contact pablogps86@gmail.com for terms of use. ; ; *** End of NetLogo 4.0.2 Model Copyright Notice ***

There is only one version of this model, created about 6 years ago by Pablo Gonzalez de Prado.

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Voter dynamics in complex networks.png | preview | Preview for 'Voter dynamics in complex networks' | about 6 years ago, by Pablo Gonzalez de Prado | Download |

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