A discussion is presented of the effects of stochasticity in the decision-making of agents in the minority game. Both simulational and analytic results are reported and discussed for both additive and multiplicative noise. As a function of the ratio d of information dimension to number of agents...

In this paper we consider the evolutionary minority game with different capacities. With the increase of capacity level ρ1, the probability γn of room1 with n agents changes from one normal distribution to two normal distributions and back to one normal distribution again. When room2 is the...

The inverse statistics is the distribution of waiting times needed to achieve a predefined level of return obtained from (detrended) historic asset prices [I. Simonsen, M.H. Jensen, A. Johansen, Eur. Phys. J. 27 (2002) 583; M.H. Jensen, A. Johansen, I. Simonsen, Physica A 234 (2003) 338]. Such a...

Inverse statistics in economics is considered. We argue that the natural candidate for such statistics is the investment horizons distribution. This distribution of waiting times needed to achieve a predefined level of return is obtained from (often detrended) historic asset prices. Such a...

A variation of the Minority Game has been applied to study the timing of promotional actions at retailers in the fast moving consumer goods market. The underlying hypotheses for this work are that price promotions are more effective when fewer than average competitors do a promotion, and that a...

In many social and biological systems, agents compete for limited resources over an extended, connected network, but at any moment compete for resources semi-locally using incomplete, private information. To understand such systems, it is important to understand the nature of competition for...

A simple model for the collective behaviour of diverse speculative agents in a competitive market is considered from the point of view of statistical physics. The only information about other agents available to any one is the total trade effected at each time-step. Evidence is presented for...

Sales data in a commodity market (supermarket sales to consumers) has been analysed by studying the fluctuation spectrum and noise correlations. Three related products (ketchup, mayonnaise and curry sauce) have been analysed. Most noise in sales is caused by promotions, but here we focus on the...

We present a new strategy for the Minority Game. Players who were successful in the previous timestep stay with their decision, while the losers change their decision with a probability p. Analytical results for different regimes of p and the number of players N are given and connections to...

We use the Minority Game as a testing frame for the problem of the emergence of diversity in socio-economic systems. For the MG with heterogeneous impacts, we show that the direct generalisation of the usual agents’ profit does not fit some real-world situations. As a typical example we use...