In Kholfi and Mahmoud (2011) the class of tenable irreducible nondegenerate zero-balanced Pólya urn schemes is introduced and its asymptotic behavior in various phases is studied. In the absence of an initially dominant subset of colors, the counts of balls of all the colors satisfy...

The present paper makes three distinct improvements over an earlier investigation of Kalpathy and Ward. We analyze the length of the entire election process (not just one participant’s duration), for a randomized election algorithm, with a truncated geometric number of survivors in each round....

In this paper we investigate the relation between the structure and dynamics of molecules, using a level of coarse graining at which we consider a molecular structure as a "random structure". A random structure consists of (i) a (random) contract graph and (ii) a family of relations imposed on...

We build a simple dynamic model to study the effects of technological learning, market selection and international competition in the determination of export flows and market shares. The model features two countries populated by firms with heterogeneous productivity levels and sales. Market...

This analysis of the PÓlya urn scheme focuses on proving two new important results. First, the correlation structure between draws of a PÓlya urn scheme is uniform. Second, fixing the number of draws and the composition of the urn, a convex stochastic ordering is induced by the number of balls...

The Pólya process is obtained by embedding the usual (discrete-time) Pólya urn scheme in continuous time. We study the class of tenable Pólya processes of white and blue balls with zero balance (no change in n, the total number of balls, over time). This class includes the...

This analysis of the Pólya urn scheme focuses on proving two new important results. First, the correlation structure between draws of a Pólya urn scheme is uniform. Second, fixing the number of draws and the composition of the urn, a convex stochastic ordering is induced by the number of balls...

We study Hoeffding decomposable exchangeable sequences with values in a finite set D={d1,…,dK}. We provide a new combinatorial characterization of Hoeffding decomposability and use this result to show that, for every K≥3, there exists a class of neither Pólya nor i.i.d. D-valued...

We discuss a special Pólya lattice model to study cascading failures of firms in a simple industrial economy. In particular, every firm is represented by a Pólya-like urn, whose reinforcement is function of time, of the neighboring urns and their compositions, and of a random variable...