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Studies in Mathematical Theory of Human Relations

Bibliographic Data

ID19171983
AuthorsN Rashevsky (University of Chicago, corresponding author)
Year1939
Volume4
Issue3
Pages221-239
Publication date1939-09-01
Peer ReviewedYes
Open AccessYes
TypeARTICLE
VenuePsychometrika (JOURNAL)
Journal identifiersISSN: 0033-3123 • E-ISSN: 1860-0980
PublisherSpringer Science+Business Media (PUBLISHER • DE)
DOI10.1007/bf02288554
OpenAlexW4236158576
LanguageEN
Citations received5
References cited3

In continuation of previous studies, an abstract mathematical theory is developed for the interaction of several social classes, of which one influences and controls the behavior of the others. In some cases such interaction results in the existence of two configurations of equilibrium for the social structure, characterized by different types of behavior. Each configuration corresponds to one definite type of behavior. The transition from one configuration to the other, in other words, the transition from one behavior to another, occurs rather rapidly. Equations governing these transitions are given. In other cases, namely when the efforts of the individuals to influence others into a given behavior lessen as the success of this influence increases, there is only one stable configuration characterized by a mixed behavior. Due to the dissimilarity of parents and progeny, the composition of each social class changes with time, as generations change. This results in the appearance of instabilities of the social structure and in relatively sudden social changes. Possibilities of quasi-periodic alterations of different social structures are discussed. Finally, the developed equations are applied to the case of physical conflicts between groups of individuals, such as riots, wars, etc. Possible factors in addition to mere physical force which may determine the outcome of such conflicts are investigated

Class (philosophy) · Continuation · Mathematical economics · Mathematical model · Outcome (game theory) · Physical system · Physics · Social relation · Statistical physics · Statistics · Type (biology) · Computer Science · Geology · Mathematical and Theoretical Epidemiology and Ecology Models · Mathematical Biology Tumor Growth · Mathematics · Opinion Dynamics and Social Influence · Psychology · Social Psychology

  • On the Mutual Influence of Individuals in a Social Group

    Open Access•N Rashevsky, Alston S Householder•Psychometrika•1941

  • On the Variation of the Structure of a Social Group with Time

    Open Access•N Rashevsky•Psychometrika•1941

  • A Kinetic Theory of Socio-Psychological Diffusion

    Henry Winthrop•The Journal of Social Psychology•1945

  • Note on the Mathematical Theory of Interaction of Social Classes

    Open Access•N Rashevsky•Psychometrika•1941

  • Theories of Human Crowding

    Open Access•Julian J Edney•Environment and Planning A…•1977

  • Outline of a Mathematical Theory of Human Relations

    Open Access•N Rashevsky•Philosophy of Science•1935

  • Social and Cultural Dynamics

    Pitirim A Sorokin, Pitirim Sorokin et al.•Social and Cultural Dynamics•2017

Unique citing works5
Citations per year0.06
Citation span1941 - 1977 (37)
Citation velocityhistorical
Highly citedNo
Citation typesNeutral: 5

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