@article{2009-InformationGeometryAggregator-0901.2586
, author={Richard Nock and Brice Magdalou and Nicolas Sanz and Eric Briys and Fred Celimene and Frank Nielsen}
, title={Information geometries and microeconomic theories}
, journal={Computing Research Repository (CoRR)}
, month={January}
, year={2009}
, volume={abs/0901.2586}
, abstract={
  More 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. 
}
}