Information geometries and Microeconomic Theories

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dc.creatorNock, Richard
dc.creatorMagdalou, Brice
dc.creatorSanz, Nicolas
dc.creatorBriys, Eric
dc.creatorCelimene, Fred
dc.creatorNielsen, Frank
dc.date2009-01-16
dc.date.accessioned2026-07-07T12:31:26Z
dc.date.available2026-07-07T12:31:26Z
dc.descriptionMore than thirty years ago, Charnes, Cooper and Schinnar (1976) established an enlightening contact between economic production functions (EPFs) -- a cornerstone of neoclassical economics -- and information theory, showing how a generalization of the Cobb-Douglas production function encodes homogeneous functions. As expected by Charnes \textit{et al.}, the contact turns out to be much broader: we show how information geometry as pioneered by Amari and others underpins static and dynamic descriptions of microeconomic cornerstones. We show that the most popular EPFs are fundamentally grounded in a very weak axiomatization of economic transition costs between inputs. The strength of this characterization is surprising, as it geometrically bonds altogether a wealth of collateral economic notions -- advocating for applications in various economic fields --: among all, it characterizes (i) Marshallian and Hicksian demands and their geometric duality, (ii) Slutsky-type properties for the transformation paths, (iii) Roy-type properties for their elementary variations.
dc.identifierhttps://arxiv.org/abs/0901.2586
dc.identifierhttp://arxiv.org/abs/0901.2586
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216445
dc.subjectGeneral Finance
dc.subjectInformation Theory
dc.subjectJ.4
dc.titleInformation geometries and Microeconomic Theories
dc.typetext

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