The major aim of the research is to examine the influence that valuers and valuations have on the workings of the commercial property investment market in the UK. The research described involved interviews with 30 fund managers and owners and their property advisors. It finds evidence that valuations do not stand above the market, but are instead an integral part of it. Opportunities for client...

The formal definition of valuation was firstly given by the Hungarian mathematician J. Kürschák in 1912 supported with ideas of Hensel. Valuation theory, based on this concept, has been developed by a large number of contributors (some of them distinguished mathematicians as Krull or Zariski) and it has a wide range of applications in different context and research areas as, for instance, algeb...

In a paper entitled Noncommutative valuations, Schilling [8] proved that if an algebra of finite order over its center is relatively complete in a valuation (where the value group of the nonarchimedean, exponential valuation is not assumed to be commutative) then the value group is commutative. A similar type of theorem, proved by Albert [l], states that if an algebra of finite order over a fie...

A classification of SL(n) and translation covariant Minkowski valuations on log-concave functions is established. The moment vector and the recently introduced level set body of log-concave functions are characterized. Furthermore, analogs of the Euler characteristic and volume are characterized as SL(n) and translation invariant valuations on log-concave functions. 2000 AMS subject classificat...

This paper introduces new valuation schemes called actuarial-consistent valuations for insurance liabilities which depend on both financial and actuarial risks, imposes that all risks are priced via standard principles. We propose to extend principles by a procedure, we call ‘two-step valuations’. In the case coherent, show equivalent two-step valuations. also discuss connection with market-con...

In this paper, we endow the space of continuous translation invariant valuations on convex sets generated by mixed volumes coupled with a suitable Radon measure tuples bodies two appropriate norms. This enables us to construct extension convolution operator smooth non-smooth valuations, which are in completion spaces respect these The novelty our approach lies fact that proof does not rely gene...

The Nash social welfare problem asks for an allocation of indivisible items to agents in order maximize the geometric mean agents' valuations. We give overview constant-factor approximation algorithm when have Rado valuations [Garg et al. 2021]. are a common generalization assignment (OXS) and weighted matroid rank functions. Our approach also gives first asymmetric under same valuations, provi...

We give a non-trivial class of valuation functions for which we give auctions that are efficient, truthful and envy-free. We give interesting classes of valuations for which one can design such auctions. Surprisingly, we also show that minor modifications to these valuations lead to impossibility results, the most surprising of which is that for a natural class of valuations, one cannot achieve...

The notion of a semivaluation has been introduced in [Sch98]. Aside from providing a novel concept generalizing valuations on lattices to the context of semilattices, semivaluations shed new light on the notion of a “partial metric” well known from theoretical computer science (e.g. [Mat94], [Mat95], [O’N97], [BS97] and [BSh97]). As discussed in [Sch98], the characterization of partial metrics ...