--- abstract: "Until now, formal models of bipolar choice have been phenomenological and were not related to the deep principles of processing information by live organisms, which limited the applications of these models and made it difficult to generalize them to the case of multi-alternative choice. We demonstrate here how to deduce a model theoretically based on a general definition of the self-reflexive system and one assumption which we called the Axiom of the Second Choice. We show further that such a deduction of the model reveals its unexpected connection to the relations between an internal variable of the self-reflexive system, a partial derivative of the entropy of the environmental influence, and a partial derivative of the entropy of choice made by the system. This connection allows us to expand the two-alternative model of bipolar choice to the case of an arbitrary number of alternatives.\n" altloc: [] chapter: ~ commentary: ~ commref: ~ confdates: 'July 18-21, 2004' conference: 'The 8th World Multi-Conference on Systemics, Cybernetics and Informatics' confloc: 'Orlando, FL' contact_email: ~ creators_id: [] creators_name: - family: Lefebvre given: Vladimir A. honourific: '' lineage: '' date: 2004 date_type: published datestamp: 2004-09-11 department: ~ dir: disk0/00/00/37/61 edit_lock_since: ~ edit_lock_until: ~ edit_lock_user: ~ editors_id: [] editors_name: - family: Calaos given: Nagib honourific: '' lineage: '' - family: Lefebvre given: Vladimir honourific: '' lineage: '' - family: Hansen given: Elizabeth honourific: '' lineage: '' - family: Dickopp given: Tilo honourific: '' lineage: '' - family: Jaw-Sin given: Su honourific: '' lineage: '' eprint_status: archive eprintid: 3761 fileinfo: /style/images/fileicons/application_pdf.png;/3761/1/Entro%2DField_whole.pdf full_text_status: public importid: ~ institution: ~ isbn: ~ ispublished: pub issn: ~ item_issues_comment: [] item_issues_count: 0 item_issues_description: [] item_issues_id: [] item_issues_reported_by: [] item_issues_resolved_by: [] item_issues_status: [] item_issues_timestamp: [] item_issues_type: [] keywords: 'axiom of the second choice, reflexivity, matching law, bipolarity' lastmod: 2011-03-11 08:55:40 latitude: ~ longitude: ~ metadata_visibility: show note: ~ number: ~ pagerange: 95-99 pubdom: FALSE publication: ~ publisher: Unternational Institute of Informatics and Systemics refereed: TRUE referencetext: | [1] Lefebvre, V. A. (1992). A Psychological Theory of Bipolarity and Reflexivity. Lewiston, N.Y.: The Edwin Mellen Press. [2] Lefebvre, V. A. (2001). Algebra of Conscience, 2-nd enlarged edition. Dordrecht, Holland: Kluwer Academic Publishers. [3] Lefebvre, V. A. (2003). Mentalism and Behaviorism: Merging? Reflexive Processes and Control, 2, 2, 56-76. [4] Adams-Webber, J. (1997). Self-reflexion in Evaluating Others. American Journal of Psychology, 110, 527-541. [5] Kaiser, T. B. & Schmidt, S. E. (2003). Terrorist Recruitment and Reflexive Control. Journal of Reflexive Processes and Control, 2, 2, 92-101. [6] Miller, L. D. (2003). Essential Singularity Structure of Multi-Attribute Utility Function. Reflexive Processes and Control, 2, 1, 103-118. [7] Miller, L. D. & Sulcoski, M. F. (1999). Reflexive Model of Human Behavior: Variations on Lefebvre's Theme. Proceedings of the Workshop on Multi-Reflexive Models of Agent Behavior. Los Alamos, NM: Army Research Laboratory, 51-62. [8] Miller, L. D. & Sulcoski, M. F. (1999). Application of Generalized Reflexive Behavior: Models for Situation-Specific Decisions. Proceedings of the Workshop on Multi-Reflexive Models of Agent Behavior. Los Alamos, NM: Army Research Laboratory, 69-94. [9] Taran, T. A. (1999). The Formalization of Ethical Values in Models of Reflexive Behavior. Proceedings of the Workshop on Multi-Reflexive Models of Agent Behavior. Los Alamos, NM: Army Research Laboratory, 95-108. [10] Taran, T. (2001). Many-Valued Boolean Model of the Reflexive Agent. Journal of Multiple-Valued Logic, 7, 97-127. [11] Lefebvre, V. A. (1965). On Self-reflexive and Self-organizing Systems, In: Problemy Issledovania Sistem i Struktur. Moscow: Izdatelstvo AN USSR. English translation in Applied Ergonomics, (1994), 1, 6-9. [12] Mickens, R. E. (1990). Difference Equation. New York: Van Nostrand Reinhold. [13] Herrnstein, R. J. (1961). Relative and Absolute Strength of Response As a Function of Frequency of Reinforcement. Journal of the Experimental Analysis of Behavior, 4, 267-272. [14] Baum, W. M. (1974). On Two Types of Deviation from the Matching Law: Bias and Undermatching. Journal of the Experimental Analysis of Behavior, 22, 231-242. [15] Baum, W. M. (2002). From Molecular to Molar: A Paradigm Shift In Behavior Analysis. Journal of the Experimental Analysis of Behavior, 78, 95-116. relation_type: [] relation_uri: [] reportno: ~ rev_number: 12 series: ~ source: ~ status_changed: 2007-09-12 16:53:22 subjects: - cog-psy - behanal succeeds: ~ suggestions: ~ sword_depositor: ~ sword_slug: ~ thesistype: ~ title: 'Bipolarity, Choice, and Entro-Field' type: confpaper userid: 493 volume: IV