Modelling investment in artificial stock markets: Analytical and Numerical Results

dc.creatorda Silva, Roberto
dc.creatorBaraviera, Alexandre Tavares
dc.creatorDahmen, Silvio R.
dc.date2005-04-29
dc.date.accessioned2026-07-07T03:22:56Z
dc.date.available2026-07-07T03:22:56Z
dc.descriptionIn this article we study the behavior of a group of economic agents in the context of cooperative game theory, interacting according to rules based on the Potts Model with suitable modifications. Each agent can be thought of as belonging to a chain, where agents can only interact with their nearest neighbors (periodic boundary conditions are imposed). Each agent can invest an amount σ_{i}=0,...,q-1. Using the transfer matrix method we study analytically, among other things, the behavior of the investment as a function of a control parameter (denoted β) for the cases q=2 and 3. For q>3 numerical evaluation of eigenvalues and high precision numerical derivatives are used in order to assess this information.
dc.description19 pages 10 figures
dc.identifierhttps://arxiv.org/abs/cs/0505001
dc.identifierhttp://arxiv.org/abs/cs/0505001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/32750
dc.subjectComputational Engineering, Finance, and Science
dc.titleModelling investment in artificial stock markets: Analytical and Numerical Results
dc.typetext

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