InterJournal Complex Systems, 822
Status: Accepted
Manuscript Number: [822]
Submission Date: 2004
A model of communications as random walk on the semantic tree
Author(s): Vladislav Kovchegov

Subject(s): CX.41



This paper contains a few models on free communications (communications without agendas). We will describe two types of free communication models. The first type is a model in which people have to sit in designated areas. In the second model participants are allowed to move about freely. An average person has a set of favorite themes. The themes of conversations are words that belong to some “themes alphabets” and can be present as a path of the “semantic tree”. The state communicated system is a partition or market partitions, where any elements of partitions are conversation’s subgroup marked by the theme of conversations. The first model is a model about communications with a given theme and it was implemented as a Markov stochastic process defined on the set of partitions. We define both the conditional probability that emerges as the conversation subgroup and the probability to fall to pieces for a small period of time. These conditional probabilities give us the ability to write the differential equations for probabilities to get partitions. The second type of model involves not only partitions, but partitions and themes as well. This means that the conversation process is defined on the marking partitions and this looks like a random walk on the semantic trees. The methods were demonstrated to small groups of people and differential equations for probabilities were found and stable probabilities. For the modeling of a conflict situation we have to just add the set of “sick” theme for any person (where a “sick” theme is a theme that invokes unusual reactions). Conflicts occur when the marking partitions are reached that are marked by “sick” theme(s).

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