Paraconsistent Games and the Limits of Rational Self-Interest

Australasian Journal of Logic, Vol. 12, Issue 1, pp.17-42, 2015

Posted: 14 Mar 2015

See all articles by Arief Daynes

Arief Daynes

University of Portsmouth - Business School

Paraskevas Pagas

University of Portsmouth

David Latimer

Portsmouth Business School

Panagiotis Andrikopoulos

Centre for Financial and Corporate Integrity (CFCI), Coventry University

Date Written: March 1, 2015

Abstract

It is shown that logical contradictions are derivable from natural translations into first order logic of the description and background assumptions of the Soros Game, and of other games and social contexts that exhibit conflict and reflexivity. The logical structure of these contexts is analysed using proof theoretic and model-theoretic techniques of first order paraconsistent logic. It is shown that all the contradictions that arise contain the knowledge operator K. Thus, the contradictions do not refer purely to material objects, and do not imply the existence of inconsistent, concrete, physical objects, or the inconsistency of direct sensory experience. However, the decision-making of rational self-interested agents is stymied by the appearance of such intentional contradictions. Replacing the rational self-interest axioms with axioms for an appropriate moral framework removes the inconsistencies. Rational moral choice in conflict-reflexive social contexts then becomes possible.

Keywords: Market reflexivity, Paraconsistent games, Rational moral choice, Soros game

JEL Classification: C79, G19

Suggested Citation

Daynes, Arief and Pagas, Paraskevas and Latimer, David and Andrikopoulos, Panagiotis, Paraconsistent Games and the Limits of Rational Self-Interest (March 1, 2015). Australasian Journal of Logic, Vol. 12, Issue 1, pp.17-42, 2015. Available at SSRN: https://ssrn.com/abstract=2577599

Arief Daynes (Contact Author)

University of Portsmouth - Business School ( email )

Portsmouth, PO1 3DE
United Kingdom
+44 23 92844182 (Phone)
+44 23 92844037 (Fax)

HOME PAGE: http://www.port.ac.uk/departments/academic/ams/staff/title,1246,en.html

Paraskevas Pagas

University of Portsmouth ( email )

Department of Accounting and Finance
Portsmouth Business School
Portsmouth, Hants PO1 3DE
United Kingdom
+44(0)23 9284 4721 (Phone)
+44(0)23 9284 4037 (Fax)

David Latimer

Portsmouth Business School ( email )

Portsmouth, PO1 3DE
United Kingdom

Panagiotis Andrikopoulos

Centre for Financial and Corporate Integrity (CFCI), Coventry University ( email )

Priory Street
Coventry, CV1 5FB
United Kingdom
+44(0)247 765 7920 (Phone)

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