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Individual Rationality Versus Group Rationality in Statistical Modelling Issues

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Innovations in Classification, Data Science, and Information Systems

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Abstract

In the paper, an apparatus of stochastic matrix spaces and discrete Markov chains is presented for the purpose of coping with approximating individual choice mechanisms similar to a network of associations. The proposed apparatus makes it possible to investigate dynamical properties of the aggregated choice of a group when interactions exist between individual choice mechanisms within the group. The main point of the paper is to investigate the dynamic aspect of aggregated group choice against interactions between individual choices in terms of group rationality criteria. This investigation leads to the analysis of stability of aggregated group choice and of stationary processes of group choice. An empirical verification and perspectives of further research and applications are proposed.

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Author information

Authors and Affiliations

  1. Department of Statistics, Cracow University of Economics, ul. Rakowicka 27, 31-510, Krakow, Poland

    Daniel Kosiorowski

Authors
  1. Daniel Kosiorowski
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Editor information

Editors and Affiliations

  1. Institute of Business Administration and Economics, Brandenburg University of Technology Cottbus, Konrad-Wachsmann-Allee 1, 03046, Cottbus, Germany

    Daniel Baier (Chair of Marketing and Innovation Management) (Chair of Marketing and Innovation Management)

  2. Department of Medical Biometrics Charité Virchow-Klinikum, Humboldt University Berlin, 13344, Berlin, Germany

    Klaus-Dieter Wernecke

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© 2005 Springer-Verlag Berlin · Heidelberg

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Kosiorowski, D. (2005). Individual Rationality Versus Group Rationality in Statistical Modelling Issues. In: Baier, D., Wernecke, KD. (eds) Innovations in Classification, Data Science, and Information Systems. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-26981-9_28

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