Voter model

In the mathematical theory of probability, the voter model is a stochastic process that is a specific type of interacting particle system (see Probabilistic Cellular Automata too). A voter model is a sequential dynamical system and it is similar to the contact process. In the mathematical theory of probability, the voter model is a stochastic process that is a specific type of interacting particle system (see Probabilistic Cellular Automata too). A voter model is a sequential dynamical system and it is similar to the contact process. One can imagine that there is a 'voter' at each point on a connected graph, where the connections indicate that there is some form of interaction between a pair of voters (nodes). The opinions of any given voter on some issue changes at random times under the influence of opinions of his neighbours. A voter's opinion at any given time can take one of two values, labelled 0 and 1. At random times, a random individual is selected and that voter's opinion are changed according to a stochastic rule. Specifically, for one of the chosen voter's neighbors is chosen according to a given set of probabilities and that individual's opinion is transferred to the chosen voter.