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Mathematical models in the social and behavioral sciences

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The article was published on 1983-01-01 and is currently open access. It has received 51 citations till now. The article focuses on the topics: Mathematical model.

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Selfishness examined: Cooperation in the absence of egoistic incentives.

TL;DR: In a series of experimental social dilemmas, subjects were instructed to make single, anonymous choices about whether or not to contribute money for a shared "bonus" that would be provided only if enough other people in the group also contributed their money as discussed by the authors.
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Collective Sanctions and the Creation of Prisoner's Dilemma Norms'

TL;DR: In this article, the role of regulatory interests in norm emergence is analyzed in a system of collective sanctions in which, when and individual violates or complies with a rule, not merely the individual but other memgers of that person's group as well are collectively punished of rewarded by an external agent.
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Collective motion in animal groups from a neurobiological perspective: the adaptive benefits of dynamic sensory loads and selective attention.

TL;DR: The model uses simplified retinal processes to translate neighbor movement patterns into information through spatial signal integration and threshold responses, and provides a mechanism by which individuals can vary their sets of influential neighbors, a measure of an individual's sensory load.
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Tripartite structural analysis: Generalizing the Breiger-Wilson formalism

TL;DR: In this paper, the authors show that tripartite graphs have three types of nodes and ties exist only between the nodes, and they develop the associated matrix methods to deal with overlapping inclusions, such as that of persons and groups.
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Mathematics in Sociology

TL;DR: A distinctive feature of today's use of mathematics in sociology is the movement toward a synthesis between process, structure, and action as discussed by the authors, in combination with an increased attention to social mechanisms and the problems of causality and temporality.