What are transversals and alternate interior angles in affine geometry? What are affine transformations of the Euclidean plane?

Mar 27, 2025 ... (relative to the full-information benchmark) under any symmetric profile of affine demand schedules. We then characterize the demand ... Jul 20, 2017 ... The local entropy density, regarded as a function of local densities of conserved quantities, is doubly affine, in that the entropy function is ... Sep 16, 2010 ... It is also caused by the informational and contractual linkages between firms, which provide a channel for the propagation of financial ... We concentrate on single-commodity networks and affine cost functions, for which we obtain the following results. First, we devise a fully polynomial-time ... Feb 17, 2006 ... (2003) can, at best, achieve the efficiency of a maximum likelihood procedure that uses the limited-information densities p ( y t | y t − 1 , . The modeling strategy in this paper is to consider linear-quadratic payoffs coupled with an affine information structure, which admits common or private values, ... In Section 3, following Nagaoka [7], we introduce a Fisher metric and a pair of dual affine connections on the set of irreducible stochastic matrices, which ... Sep 28, 2012 ... ... affine subspaces the averaging will be performed over. In the plane ... Verbosity (informational message) level, with 0 generating only ... Dec 21, 2023 ... Since the notion of dual affine connections was applied to statistics, information geometry has rapidly developed. In particular, a ... Apr 20, 2025 ... Cornell Notes Template: Available from AFFiNE, this template offers a structured format that enhances information retention and comprehension.