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Investigating Human Interaction through Mathematical Analysis
Kurt T. Brintzenhofe
2023
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Investigating Human Interaction through Mathematical Analysis offers a new and unique approach to social intragroup interaction by using mathematics and psychophysics to create a mathematical model based on social psychological theories. It draws on the work of Dr. Stanley Milgram, Dr. Bibb Latane, and Dr. Bernd Schmitt to develop an algebraic expression and applies it to quantitatively model and explain various independent social psychology experiments taken from refereed journals involving basic social systems with underlying queue-like structures. It is then argued that the social queue as a resource system, containing common-pool resources, meets the eight design principles necessary to support stability within the queue. Making this link provides a means to advance to more complex social systems. It is envisioned that if basic social systems as presented can be modeled, then, with further development, more complex social systems may eventually be modeled for the purpose of identifying and validating social structures that might eventually support stable governments in our common environment called Earth. This is a fascinating reading for academics and advanced students interested in political theory, detection theory, social psychology, organizational behavior, psychophysics, and applied mathematics in the social and information sciences. The Open Access version of this book, available at www.taylorfrancis.com, has been made available under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 license.
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Keywords
- Algebra
- Cauchy Functional Equation
- Crowds
- cumulative distribution function
- Fechner’s Law
- Festinger’s Cognitive Dissonance Theory
- German Confederation
- group membership
- Mathematics
- Milgram
- Naive Subject
- Pettigrew
- Psychophysics
- Queue Member
- queuing
- Sensation Magnitude
- Social Dynamics
- social group interactions
- social impact theory
- Social psychology
- social space
- social structures
- Social systems
- Stimulus Intensity
- thema EDItEUR::J Society and Social Sciences::JM Psychology::JMB Psychological methodology
- thema EDItEUR::J Society and Social Sciences::JM Psychology::JMH Social, group or collective psychology
- thema EDItEUR::P Mathematics and Science::PB Mathematics::PBF Algebra
- thema EDItEUR::P Mathematics and Science::PH Physics::PHV Applied physics
- Time Order Error
- United Diet
- Waiting Lines experiment
- Weber’s Law
- William III
Links
DOI: 10.4324/9781003325161Editions