Projective Market Model Approach to AHP Decision-Making

Details Projective Market Model Approach to AHP Decision-Making Projective Market Model Approach to AHP Decision-Making

2007-09-27

arxiv.org/abs/0709.4358v2

Economy

Quantitative Finance

Portfolio Management

APFA 6 - Applications of Physics in Financial Analysis 6th International Conference, 4-7 July 2007, Lisbon, Portugal

Scientific paper

10.1016/j.physa.2008.01.053

In this paper we describe market in projective geometry language and give definition of a matrix of market rate, which is related to the matrix rate of return and the matrix of judgements in the Analytic Hierarchy Process (AHP). We use these observations to extend the AHP model to projective geometry formalism and generalise it to intransitive case. We give financial interpretations of such generalised model and propose its simplification. The unification of the AHP model and projective aspect of portfolio theory suggests a wide spectrum of new applications such extended model.

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