Social

The registered systems of skcomplex.systems.social. The page of each shows its factory, its component types with their states, parameters, and laws as written, and, for the forms that have them, its equations as SymbolicAnalysis returns them, so it serves as the pattern for a system of your own.

Cooperation

• Evolutionary dynamics with game transitions: Evolutionary dynamics with game transitions on a random regular graph, after Su, McAvoy, Wang, and Nowak.
• Finite two-level birth-death process of defectors and punishers: The finite two-level birth-death process of defectors and altruistic punishers in competing groups.
• Iterated prisoner's dilemma on a lattice with strategies of cooperation rounds: Argun's evolutionary iterated prisoner's dilemma on a lattice, with strategies of n cooperation rounds.
• Iterated prisoner's dilemma tournament: The evolution of strategies of the iterated prisoner's dilemma from random genomes.
• Multilevel selection of cooperators, defectors, and punishers on the simplex: The density of groups of cooperators, defectors, and altruistic punishers on the 2-simplex.
• Multilevel selection with non-additive pairwise group conflict: The density of groups of defectors and altruistic punishers under pairwise group conflict.
• Public goods game: The spatial public goods game in groups of five neighbours, with Fermi imitation.
• Public goods game on hypergraphs: The public goods game on a hypergraph, played in every hyperedge, with Fermi imitation.
• Spatial prisoner's dilemma with best-neighbour and Fermi imitation: The spatial prisoner's dilemma of Nowak and May, with best-neighbour or Fermi imitation.
• Two-level replicator equation of additive pairwise group conflict: The two-level replicator equation of defectors and altruistic punishers, additive pairwise group conflict.
• Two-player games on links and three-body games on 2-simplices: The social dilemmas of Guo et al. on the links and the 2-simplices of a simplicial complex.

Crowds

• Bellomo's kinetic crowd in a street with walls and panic: Bellomo's kinetic crowd of two groups walking in opposite directions along a street with walls.
• Criminality and security: The kinetic system of criminality in a society and the security forces that act against it.
• Kinetic evacuation of a network of rooms: The kinetic system of the evacuation of a building whose rooms form a network.
• Social force pedestrians: Two crowds walking in opposite directions along a periodic corridor, which form lanes.

Language

• Mandelbrot least-effort word frequencies: The word frequencies that minimise the mean cost of a language over its entropy, a power law of rank.
• Miller's random typewriting: Miller's random typewriting, monkeys whose random keystrokes give Zipf's law of word frequencies.

Opinion dynamics

• Axelrod culture dissemination: Axelrod's culture dissemination system on a full grid with von Neumann neighbourhoods.
• Belief diffusion with influentials: The belief diffusion system with influentials who care passionately and weigh more with their neighbours.
• Coevolving voter: The coevolving voter system, which fragments into consensual components when rewiring is fast.
• Cognitive consistency agents: Agents whose attitudes spread by conversation and settle in a belief network that seeks consistency.
• Complex agents with internal states and standardization: Complex agents whose interactions make them standardized, all showing one characteristic, and ordered.
• Deffuant bounded confidence: The Deffuant bounded confidence system, whose opinions settle into about 1 / (2 * confidence) clusters.
• Echo chambers and radicalization on an activity-driven network: The radicalization model of echo chambers of Baumann and coauthors on an activity-driven network.
• Galam majority: The Galam majority system, where random groups adopt their majority until one opinion wins.
• Gauge theory of agents on a network: Agent phases on the nodes of a network that relax towards the transported phases of their neighbours.
• Hegselmann-Krause: The Hegselmann-Krause system, whose opinions freeze within a few steps into clusters about 2 ε apart.
• Join-a-club spins: Join-a-club spins, agents who join a club with their acquaintances while acquaintances follow the club.
• Kinetic opinion formation: The kinetic system of opinion formation over a discrete grid of opinions.
• Majority rule automaton: Voters that take the majority opinion of their neighbourhood, which coarsens into domains.
• Majority rule with willingness and zealots: The majority rule with willingness, where zealots of willingness 0 never change their opinion.
• Mean-field flows of undecided agents: The mean-field flows between agents against, A, undecided, C, and for, B.
• Naming game: The minimal naming game, where agents with empty inventories agree on one word.
• Nonlinear three-body consensus on temporal hypergraphs: The nonlinear three-body consensus system on a random hypergraph of triangles that switch on and off.
• Social impact theory: The social impact system on a full grid, with random persuasiveness and supportiveness.
• Sznajd: The Sznajd system, where agreeing pairs of agents convince their neighbours.
• Three-state opinion with undecided agents: The three-state opinion system of agents against, undecided, and for, on a random regular network.
• Threshold adoption: The threshold adoption system in social circles, started by the 2.5% of agents with the lowest thresholds.
• Voter system: A voter system with one voter per node of a network.
• Voter variants: Voter system variants on a network, with threshold voters and a share of contrarians.

Organizations

• Ajani's Choice: Chesney's Ajani's Choice, migrant farm workers and employers among whom underpayment emerges.
• Barabási priority queues: The Barabási priority queue, whose waiting times follow a power law as the choice becomes greedy.
• Bonabeau hierarchies: The Bonabeau system, where a hierarchy of strengths emerges above a critical density of agents.
• Brothel movement system: The brothel movement system, where victims moved between brothels leave traces in bills and train trips.
• Container model of human mobility: The container model of human mobility of Alessandretti, Aslak, and Lehmann, trajectories across scales.
• Drift to low performance: Meadows' drift to low performance trap, eroding goals that follow a pessimistic view of the performance.
• Employment takeover: The employment takeover system on a periodic checkerboard, with half of each kind coloured at random.
• Escalation: Meadows' escalation trap, two parties that each want to exceed the other's stock by a margin.
• Exploration and preferential return: The exploration and preferential return model of human mobility of Song and coauthors.
• Gravity interaction system of urban scaling: The residents of a city at uniform positions in a disc, each interacting with the others as r^-gamma.
• Hora and Tempus watchmakers: Simon's fable of the watchmakers Hora and Tempus, told by Meadows, with and without stable subassemblies.
• Insider sabotage: The insider sabotage system of employees whose risk of sabotage builds up over the days of a year.
• Namrata's Family, diffusion of working conditions in supply chains: Chesney's Namrata's Family, buyers who push good working conditions down their supply network.
• Obesity system: The obesity system of adults who eat near home and work, one step per day.
• Policy resistance: Meadows' policy resistance trap, one stock pulled by three actors toward inconsistent goals.
• Shifting the burden: Meadows' shifting the burden trap, a quick fix that relieves a symptom and erodes the system's capability.
• Success to the successful: Meadows' success to the successful trap, two competitors that share a budget by their past success.
• The Kauai population system on region layers: One agent per resident of the census regions of a map, moving between home, work, and favourite places.
• Urban scaling of interactions: A city that grows by residents and internal links, so its meetings grow faster than its population.

Segregation

• Schelling: A Schelling segregation system on a grid with at most one resident per cell.
• Stochastic Schelling: The stochastic Schelling system of agents moving between blocks, which segregates above beta = 2.

Spreading

• Maki-Thompson rumours: The Maki-Thompson rumour system started by one spreader, which leaves about 20% of people ignorant.
• SIS on hypergraphs with heterogeneous exposure and a nonlinear infection kernel: The SIS contagion of St-Onge et al. in the environments of a hypergraph, with a nonlinear kernel.
• Simon-Yule growth: The Simon system of a text that grows from one word, whose word counts follow a power law.
• Simplicial contagion: The simplicial contagion of Iacopini et al., an SIS process on the links and triangles of a complex.
• Watts threshold cascades: The Watts threshold system of global cascades started by a few random seeds.