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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 multialternative choice. We demonstrate here how to deduce a model theoretically based on a general definition of the selfreflexive 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 selfreflexive 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 twoalternative model of bipolar choice to the case of an arbitrary number of alternatives.

Lefebvre
Vladimir A.
July 1821, 2004
The 8th World MultiConference on Systemics, Cybernetics and Informatics
Orlando, FL

Calaos
Nagib

Lefebvre
Vladimir

Hansen
Elizabeth

Dickopp
Tilo

JawSin
Su
pub
axiom of the second choice, reflexivity, matching law, bipolarity
9599
FALSE
Unternational Institute of Informatics and Systemics
TRUE
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[9] Taran, T. A. (1999). The Formalization of Ethical Values in Models of Reflexive Behavior. Proceedings of the Workshop on MultiReflexive Models of Agent Behavior. Los Alamos, NM: Army Research Laboratory, 95108.
[10] Taran, T. (2001). ManyValued Boolean Model of the Reflexive Agent. Journal of MultipleValued Logic, 7, 97127.
[11] Lefebvre, V. A. (1965). On Selfreflexive and Selforganizing Systems, In: Problemy Issledovania Sistem i Struktur. Moscow: Izdatelstvo AN USSR. English translation in Applied Ergonomics, (1994), 1, 69.
[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, 267272.
[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, 231242.
[15] Baum, W. M. (2002). From Molecular to Molar: A Paradigm Shift In Behavior Analysis. Journal of the Experimental Analysis of Behavior, 78, 95116.
 cogpsy
 behanal
Bipolarity, Choice, and EntroField
IV
published
2004
public