Given a valuation on the function field k(x, y), we examine the set of images of nonzero elements of the underlying polynomial ring k[x, y] under this valuation. For an arbitrary field k, a Noetherian power series is a map z : Q → k that has Noetherian (i.e., reverse well-ordered) support. Each Noetherian power series induces a natural valuation on k(x, y). Although the value groups correspondi...

Based on the provincial data of China’s high-tech industries from 2009 to 2019, this paper constructs a stepwise regression analyze effect innovation inputs, independent and secondary innovation, value, while being mediated moderated by ability network, respectively. We found that in general, inputs had significant positive direct valuation: one unit increase increased 0.60 units valuation, inp...

This paper examines the role of management accounting systems (MASs) in the valuation of highgrowth start-up companies. Start-up companies face acute problems of information asymmetry and agency conflicts between founder-manager and external investors that can lead to significant financing frictions and valuation distortions. We postulate that adoption of MASs has a positive impact on firm valu...

We examine the crucial policy question of whether the South African (SA) stock market values a dual board leadership structure (DBLS) using a sample of 169 listed firms from 2002 to 2007. We find a significant positive link between DBLS and market valuation, but only in firms with independent chairpersons, implying that the market values firms with independent DBLS more highly. Our results are ...

Recall from the previous lecture that in combinatorial auction each bidder has an associated real-valued valuation function V defined for each subset of items S. An allocation of items S1, S2, . . . , Sn among the bidders with valuation function V1, V2, . . . , Vn respectively is socially efficient if the allocation maximizes the social welfare ∑ i Vi(Si). Combinatorial auction is a very genera...

We apply tools coming from singularity theory, as Hamburger-Noether expansions, and from valuation theory, as generating sequences, to explicitly describe order functions given by valuations of 2-dimensional function fields. We show that these order functions are simple when their ordered domains are isomorphic to the value semigroup algebra of the corresponding valuation. Otherwise, we provide...