1 Three Axioms for a Determinant Function Let d be a scalar-valued function on the space Mn×n of all n×n matrices. Let A1, A2, . . . , An be the n rows of an n×n matrix A. We will denote the value d(A) of A under the function d as d(A) = d(A1, A2, . . . , An), indicating that d is a scalar-valued function of n n-dimensional row vectors A1, A2, . . . , An. The scalar-valued function d is called ...

We introduce the Bounded Axiom A Forcing Axiom(BAAFA). It turns out that it is equiconsistent with the existence of a regular Σ2-correct cardinal and hence also equiconsistent with BPFA. Furthermore we show that, if consistent, it does not imply the Bounded Proper Forcing Axiom(BPFA).

Following Kreps [11], Nehring [15, 16] and Dekel, Lipman and Rustichini [5], we study the demand for ‡exibility and what it reveals about subjective uncertainty. As in the cited papers, the latter is represented by a subjective state space consisting of possible future preferences over actions to be chosen ex post. One contribution is to provide axiomatic foundations for a range of alternative ...

Within the multi-attribute framework of Nehring and Puppe [Econometrica, 70 (2002) 1155], hierarchies and lines represent the simplest and most fundamental models of diversity. In both cases, the diversity of any set can be recursively determined from the pairwise dissimilarities between its elements. The present paper characterizes the restrictions on the dissimilarity metric entailed by the t...

Breirem, K. (1939). Tierernuhrung, 11, 487. Breirem, K. (1954). In Festschrift anlasslich des 100 jahrigen Bestehens der Landwirtschaftlichen Versuchsstation Leipzig-Mockern. Vol. 2. IOO Jahre Mockern. Die Bewertung des Futterstoffe und andere Probleme der Tierernuhrung, p. 91. [K. Nehring, editor.] Berlin : Deutscher Bauernverlag. James, A. T. & Martin, A. J. P. (1952). Biochem. J. 50, 679. Ke...

In fuzzy set theory non-idempotency arises when the conjunction is interpreted by arbitrary t-norms. There are many instances in mathematics where set theory ought to be non-commutative and/or non-idempotent. The purpose of this paper is to combine both ideas and to present a theory of non-commutative and non-idempotent quantale sets (among other things, standard concepts like fuzzy preorders a...