1 Introduction The purpose of this paper is to solve a class of combinatorial games consisting of one-pile counter pickup games for which the maximum number of counters that can be removed on each successive move changes during the play of the game. Two players alternate removing a positive number of counters from the pile. An ordered pair (N, x) of positive integers is called a position. The n...

A directed triple system of order v, DTS(v), is a pair (V,B) where V is a set of v elements and B is a collection of ordered triples of distinct elements of V with the property that every ordered pair of distinct elements of V occurs in exactly one triple as a subsequence. A set of triples in a DTS(v) D is a defining set for D if it occurs in no other DTS(v) on the same set of points. A definin...

This paper presents an ordered logit approach to model the optimal timing of buying a house in the life cycle. The model is applied to three recent Belgian household budget surveys. We find that households postpone homeownership or choose to be lifelong tenant due to an increase of the transaction tax rate, the real interest rate on mortgages and an indicator for the evolution of real house pri...

We prove the existence of at least one positive solution to the time-scale, delta-nabla dynamic equation, (g(u∆))∇ + c(t)f(u) = 0, with boundary conditions, u(a) − B0(u(ν)) = 0 and u(b) = 0. Here, g(z) = |z|p−2z for p > 1, ν ∈ (a, b), f and c are left-dense continuous, and B0 is a function “bounded” by two linear rays.

In this paper, we introduce tripled partially ordered sets and monotone functions on tripled partiallyordered sets. Some basic properties on these new dened sets are studied and some examples forclarifying are given.