This paper extends to incomplete preferences the formulation of strategic complementarity in Milgrom and Shannon (1994). It is shown, by example, that quasi-supermodularity and single-crossing no longer su¢ce to guarantee monotone comparative statics with incomplete preferences. However, when incomplete preferences satisfy monotone closure in addition to quasi-supermodularity and single-crossin...

We study the representation theory of three towers of algebras which are related to the symmetric groups and their Hecke algebras. The first one is constructed as the algebras generated simultaneously by the elementary transpositions and the elementary sorting operators acting on permutations. The two others are the monoid algebras of nondecreasing functions and nondecreasing parking functions....

In this paper a general theorem on absolute weighted mean summability factors has been proved under weaker conditions by using an almost increasing and δ-quasi-monotone sequences.

In this paper connectedness is studied in weaker (monotone, quasi-directed) spaces and we examine sets having the ending property (e.p.). 2000 Mathematics Subject Classification: 54A99, 54C05

The weighted Sitting Closer to Friends than Enemies (SCFE) problem is find an injection of the vertex set a given graph into metric space so that, for every pair incident edges with different weight, end vertices heavier edge are closer lighter edge. Seriation simultaneous reordering rows and columns symmetric matrix such that entries monotone nondecreasing in when moving towards diagonal. If e...

In this paper, a general theorem concerning absolute matrix summability is established by applying the concepts of almost increasing and δ-quasi-monotone sequences.

Random variables can be described by their cumulative distribution functions, a class of nondecreasing functions on the real line. Those functions can in turn be identified, after the possible vertical gaps in their graphs are filled in, with maximal monotone relations. Such relations are known to be the subdifferentials of convex functions. Analysis of these connections yields new insights. Th...

Regular languages were characterized as sets closed with respect to monotone well-quasi orders. A similar result is proved here for tree languages. Moreover, families of quasi orders that correspond to positive varieties of tree languages and varieties of finite ordered algebras are characterized.

in this article, we investigate sufficient conditions for existence of maximal and minimalsolutions to a coupled system of highly nonlinear differential equations of fractional order with mixedtype boundary conditions. to achieve this goal, we apply monotone iterative technique togetherwith the method of upper and lower solutions. also an error estimation is given to check theaccuracy of the me...