The theory of autocatalytic binary ligation is reviewed within the context of a rigorously applied Michaelis-Menten quasi-steady-state approximation to obtain explicit analytical results describing time-course data from experiments. A detailed protocol for the step-wise elucidation of a minimal...

Adaptive walks are an optimization technique for searching a space of possible solutions, for example, a space of different molecules. The goal is to find a point in space (a molecule) optimal or near-optimal in some property, generally referred to as the ``fitness,'' such as its ability to bind...

Zipf's law states that the frequency of a word is a power function of its rank. The exponent of the power is usually accepted to be close to (-)1. Great deviations between the predicted and real number of different words of a text, disagreements between the predicted and real exponent of the...

We investigate the importance of Veblen effects on work hours, namely the manner in which a desire to emulate the consumption standards of the rich influences individuals' allocation of time between labor and leisure. Our model of the choice of work hours captures Veblen effects by taking...

In statistics it is necessary to study the relation among many probability distributions. Information geometry elucidates the geometric structure on the space of all distributions. When combined with Bayesian decision theory, it leads to the new concept of "ideal estimates." They uniquely exist...

Statistics requires consideration of the ``ideal estimates'' defined through the posterior mean of fractional powers of finite measures. In this paper we study , the linear space spanned by th power of finite measures, . It is shown that generalizes the Lebesgue function space , and shares most...

The paper generalizes the Kiyotaki-Wright trade model by treating the trading period as a finite game, so Nash's theorem can be used to prove the existence of equilibrium, and by treating the economy as a Markov process, so an ergodic theorem can be used to show the existence of equilibria with...

Many of the applications of game theory have been to economics where the individuals under study are assumed to be maximizing profits or Òutility'' or some other conventional economic goal of Òstatus.'' Loosely stated we think of status as one's position in a society compared with others,...

There is increasing evidence that collective behavior, such as social choice, price dynamics, and strategic behavior, is related to nonlinear dynamics and thus has the potential for instability and complex behavior. This paper presents experimental results where subjects are placed in a...

Within the resource-based view of the firm, a dynamic story has emerged in which the knowledge accumulated over the history of a firm and embedded in organizational routines and structures influences the firmÕs ability to recognize the value of new resources and capabilities. This paper...