On the Analysis of Asymmetric Directed Communication Structures in Electronic Election Markets

Markus Franke (), Andreas Geyer-Schulz () and Bettina Hoser ()
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Markus Franke: University of Karlsruhe
Andreas Geyer-Schulz: University of Karlsruhe
Bettina Hoser: University of Karlsruhe

A chapter in Agent-Based Computational Modelling, 2006, pp 37-59 from Springer

Abstract: Summary In this article we introduce a new general method of representing trading structures as complex adjacency matrices and transforming these into Hermitian adjacency matrices which are linear self-adjoint operators in a Hilbert space. The main advantages of the method are that no information is lost, no arbitrary decision on metrics is involved, and that all eigenvalues are real and, therefore, easily interpretable. The analysis of the resulting eigensystem helps in the detection of substructures and general patterns. While this approach is general, we apply the method in the context of analyzing market structure and behaviour based on the eigensystem of market transaction data and we demonstrate the method by analyzing the results of a political stock exchange for the 2002 federal elections in Germany.

Keywords: Election Market; Hermitian Matrice; Incentive Compatibility; Star Graph; Double Auction (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:conchp:978-3-7908-1721-8_3

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DOI: 10.1007/3-7908-1721-X_3

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