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Modeling Interdependence and Analyzing Conflict: Mathematical Representation

Susumu Yamakage
International Political Science Review / Revue internationale de science politique
Vol. 3, No. 4, Mathematical Approaches to International Relations (1982), pp. 479-503
Published by: Sage Publications, Ltd.
Stable URL: http://www.jstor.org/stable/1600850
Page Count: 25
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Modeling Interdependence and Analyzing Conflict: Mathematical Representation
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Abstract

Conflict, one of the oldest concerns in international relations theory, and interdependence, one of the most recent concerns, are the interlocking problems that endanger world politics and economy. This article designs and constructs a mathematical model that causally explains how and why transactional interdependence between nations actualizes conflict. In addition to the two above concepts, the model deals with power and conflict resolution. Furthermore, in the framework provided by the model, various definitions, implications, and situations concerning interdependence, which make the concept elusive and confuse the controversy surrounding it, are rigorously postulated and compared. Validation follows the specification of the model in the context of North-South relations. While this article deals mainly with the simplest case, a two-actor, transaction, several directions for generalizing the model are suggested. /// Le conflit, l'un des plus anciens sujets abordés par la théorie des relations internationales, et l'interdépendance, l'un des plus récents points d'intérêt, sont les problèmes imbriqués qui menacent la politique et l'économie mondiales. Cet article décrit et construit un modèle mathématique qui explique de facon causale comment et pourquoi l'interdépendance transactionnelle des nations actualise le conflit. En plus des deux concepts ci-dessus, le modèle traite du pouvoir et de la résolution des conflits. En outre, dans le cadre de référence fourni par le modèle, diverses définitions, implications et situations relatives à l'interdépendance, lesquelles avaient rendu le concept difficile a saisir et la controverse a son sujet confuse, sont rigoureusement postulées et compareés. Une validation faite dans le contexte des relations Nord-Sud suit la spécification du modèle. Bien que cet article traite principalement du cas le plus simple, une transaction à deux acteurs, quelques directions permettant de généraliser le modèle sont suggérées explicitement.

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