Optimal stopping problems require people to choose from a sequence of values, under the constraint that they cannot return to an earlier option once it is rejected. We study how people solve optimal stopping problems when the distribution of values they must choose from is not uniform, but is constructed to contain many high values or many low values. We present empirical evidence that people a...

We find the threshold between avoidable and unavoidable repetitions in circular words over k letters for any k > 6. Namely, we show that the number CRT(k) = ⌈k/2⌉+1 ⌈k/2⌉ satisfies the following properties. For any n there exists a k-ary circular word of length n containing no repetition of exponent greater than CRT(k). On the other hand, k-ary circular words of some lengths must have a repetit...

An integer polynomial p of n variables is called a threshold gate for a Boolean function f of n variables if for all x ∈ {0, 1} f(x) = 1 if and only if p(x) > 0. The weight of a threshold gate is the sum of its absolute values. In this paper we study how large a weight might be needed if we fix some function and some threshold degree. We prove 2 ) lower bound on this value. The best previous bo...

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In 1987-2001 unemployment and inßation have the opposite inßuences on the popularities of Finnish and Swedish leftist and rightist parties. The popularities of the Finnish right-wing (left-wing) parties decrease (increase) when unemployment and inßation increase but in Sweden the opposite happens although the countries experience simultaneously an economic crisis. Fitting a threshold model in t...

We investigate opinion spreading by a threshold model in a situation in which the influence of people is heterogeneously distributed. We assume that there is a coupling between the influence of an individual (measured by the out-degree) and the threshold for accepting a new opinion or habit. We find that if the coupling is strongly positive, the final state of the system will be a mix of differ...

This paper presents a dynamic bandwidth allocation scheme for new and handoff voice calls in cellular networks. The main idea of the new scheme is based on monitoring the elapsed real time of handoff calls and according to both a time threshold (te) and a dynamically changing bandwidth threshold (Bt) parameters, a handoff call is either prioritized or treated as a new call. Also in this paper, ...

Josef Ladenbauer, 2, ∗ Judith Lehnert, Hadi Rankoohi, 2 Thomas Dahms, Eckehard Schöll, and Klaus Obermayer 2 Institut für Softwaretechnik und Theoretische Informatik, Technische Universität Berlin, Marchstraße 23, 10587 Berlin, Germany Bernstein Center for Computational Neuroscience Berlin, Philippstraße 13, 10115 Berlin, Germany Institut für Theoretische Physik, Technische Universität Berlin, ...

Extreme precipitation events have significant environmental consequences because they may cause considerable damages to urban as well as rural areas. The aim of this work is to construct a threshold model which will describe the exceedances over a threshold for the daily precipitation totals over Athens, Greece. The data used are daily precipitation totals recorded at the National Observatory o...

The first essay “A Simple Threshold Model of Theft” proposes and estimates a simple threshold model of theft, where all individuals have access to the same distribution of theft opportunities, and what differentiates them is their expectation of the cost of theft. The data support the basic assumptions of the model. The best predictors of theft are variables that are good proxies for patience a...