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Systemic geopolitical modeling. Part 2: subjectivity in prediction of geopolitical events

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Abstract

This paper studies subjective priorities for the data amounts in the processing of geopolitical data accoding to Mazis I. Th., theoretical paradigm of Systemic Geopolitical Analysis. After defining geopolitical plans and geopolitical focus sets, they are introduced geopolitical preferences and geopolitical management capacities. The geopolitical rational choice is studied, as well as the geopolitical preference-capacity distributions. Then, they are investigated geopolitical contrasts of subjective priorities by several geopolitical operators, and it is shown that there are cores and equilibriums of geopolitical contrasts, the study of which may provide useful information.

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Notes

  1. A distribution \( \mu \) on \( {\mathbb{P}} \times {\mathbb{K}} \) is atomless if \( \mu \left( {{\mathfrak{X}}, \succ ,{\boldsymbol{\mathcal{C}}}_{{\boldsymbol{\mathcal{M}}}} } \right) = 0 \) for every \( \left( {{\mathfrak{X}}, \succ ,{\boldsymbol{\mathcal{C}}}_{{\boldsymbol{\mathcal{M}}}} } \right) \in {\mathcal{P}} \times {\mathbb{R}} \).

  2. \( {\mathcal{B}}\left( M \right) \) denotes the Borel \( \sigma\)-algebra generated by the open subsets of \( M \).

  3. If \( M \) is a metric space, \( f \) is a measurable mapping of \( {{\Omega }} \) into \( M \) and \( h \) is a measurable mapping of \( M \) into \( {\mathbb{K}} \), then \( h \) is \( m \circ f^{ - 1}\)-integrable if and only if \( h \circ f \) is \( m\)-integrable and \( \int_{M} {h\,dm} = \int_{{{\Omega }}} {h \circ f\,dm} \).

  4. A relation \( \varphi \) of the metric space \( {\rm M} \) into the metric space \( {\rm N} \) is said to be upper hemi-continuous at \( x \in {\rm M} \) if \( \varphi \left( x \right){ \not\equiv }\varphi \) and if for every neighborhood \( U_{\varphi \left( x \right)} \) of \( \varphi \left( x \right) \) there exists a neighborhood \( U_{x} \) of \( x \) such that \( \varphi \left( {U_{x} } \right) \, \subset \, U_{\varphi \left( x \right)} \). A relation \( \psi \) of the metric space \( {\rm M} \) into the metric space \( {\rm N} \) is said to be lower hemi-continuous at \( x \in {\rm M} \) if \( \psi \left( x \right){ \not\equiv }\psi \) and if for every open set \( G \) in \( {\rm N} \) with \( \psi \left( x \right) \, \bigcap \, G \ne \psi \) there exists a neighborhood \( U_{x} \) of \( x \) such that \( \psi \left( {U_{x} } \right) \, \bigcap \, G \ne \psi \).

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Authors and Affiliations

  1. Department of Mathematics and Engineering Sciences, Hellenic Military Academy, 166 73, Vari Attikis, Greece

    Nicholas J. Daras

  2. Faculty of Economic and Political Sciences, National and Kapodistrian University of Athens, 26, Kaplanon Str., 106 80, Athens, Greece

    John Th. Mazis

Authors
  1. Nicholas J. Daras
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  2. John Th. Mazis
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Correspondence to Nicholas J. Daras.

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Daras, N.J., Mazis, J.T. Systemic geopolitical modeling. Part 2: subjectivity in prediction of geopolitical events. GeoJournal 82, 81–108 (2017). https://doi.org/10.1007/s10708-015-9670-2

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  • DOI: https://doi.org/10.1007/s10708-015-9670-2

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