It is hypothesized that an individual has a preferred unidimensional risk level in a coin-tossing game, and that his preferences are single-peaked over the risk scale. Risk was varied by increasing both the monetary denomination (D = le to $1) and number of tosses (N = 1 to 20) involved in a game. The rank order preference data of 30 subjects within sets of games having either constant D or N, ...

Let I a, b , J c, d be closed, bounded, and nondegenerate i.e., neither of them consists of a single point real intervals, and let f : I → I, F : J → J be continuous functions. The aim of this paper is to discuss, under some additional assumptions on the maps f and F, the problem of topological conjugacy of f and F. More precisely, we investigate the existence and uniqueness of solutions φ : I ...

We investigate under which conditions a transformation of an imprecise probability model of a certain type (coherent lower previsions, n-monotone capacities, minitive measures) produces a model of the same type. We give a number of necessary and sufficient conditions, and study in detail a particular class of such transformations, called filter maps. These maps include as particular models mult...

(1) Let S, T be up-complete Scott top-lattices and M be a subset of SCMaps(S,T ). Then ⊔ SCMaps(S,T ) M is a continuous map from S into T . Let S be a non empty relational structure and let T be a non empty reflexive relational structure. One can verify that every map from S into T which is constant is also monotone. Let S be a non empty relational structure, let T be a reflexive non empty rela...

If a posets lacks joins of directed subsets, one can pass to its ideal completion. But doing this means also changing the setting: The universal property of ideal completion of posets suggests that it should be regarded as a functor from the category of posets with monotone maps to the category of dcpos with Scott-continuous functions as morphisms. The same applies for the quantitative version ...

Effect algebras have been introduced in the 1990s in the study of the foundations of quantum mechanics, as part of a quantum-theoretic version of probability theory. This paper is part of that programme and gives a systematic account of Lebesgue integration for [0, 1]-valued functions in terms of effect algebras and effect modules. The starting point is the ‘indicator’ function for a measurable...

In this paper we introduce canonical extensions of partially ordered sets and monotone maps and a corresponding discrete duality. We then use these to give a uniform treatment of completeness of relational semantics for various substructural logics with implication as the residual(s) of fusion.

We study the nonlinear eigenproblem for monotone additively homogeneous maps f : Rn → Rn, and more generally, for monotone multiplicatively homogeneous maps on cones. When f is convex, monotone and additively homogeneous, we describe the nonlinear eigenspace of f using its subdifferential (or its tangent affine maps) [AG03]. This yields in particular an uniqueness result for the eigenvector of ...

The starting point of this paper is the recent important work of F. E. Browder, who extended degree theory to operators of monotone type. The degree function of Browder is generalized to maps of the form T+f+G , where T is maximal monotone, f is of class (S)+ bounded, and G{ •) is an u.s.c. compact multifunction. It is also generalized to maps of the form f+NG , with / of class (5)+ and 7VC the...