What is the structure of the affine group? What are affine varieties over a field k?

Dec 12, 2022 ... ... affine function of p. Then γ(a) (resp., α(a)) can be identified as a ... Aggregation, determinacy, and informational efficiency for a class. In the 1980's, Amari and colleagues further introduced a new concept of dual-affine connections and got a new finding that the family of dual divergence. ( ... assume that it is affine in the state variables. Hence, the ... long-term investors economy is more informative, while with diffuse informational arrival ... Sep 1, 2021 ... affine functions on ˜z, due to the influence of the compensation scheme. ... informational content of the total order flow signal but has a ... Feb 19, 2016 ... “Term Premia and the Interest Rate Forecasts in Affine Models.” Journal of. Finance, 57 (2002), 405–443. Duffie, D., and R. Kan. “A Yield-Factor ... We adopt an affine information structure: Random vector {θi εi}i∈I is ... informational efficiency. Our result complements the aggregation prediction. 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 ... Jul 28, 2022 ... ... affine in consumer surplus.2. In each period, a mass of short-lived consumers with unit demands arrive. These consumers have heterogeneous ...