Adapting to heterogeneous comfort levels

Abstract

We study the learning dynamics of agents who adapt to heterogeneous comfort levels in the context of an El-Farol type game, and show that even an infinitesimal degree of heterogeneity in the resource levels leads to a significant reduction of the fluctuations of the collective action, and removes the phase transition observed in models with homogeneous comfort level. Our analysis is based on dynamical methods of disordered systems theory, in particular on a generating functional approach, and confirmed by numerical experiments. We also report on simulations of a system in which the comfort levels fluctuate in time, and point out crucial differences between models in which the comfort levels of the agents fluctuate collectively and individually respectively. Finally we comment on a possible characterisation of El-Farol and Minority Games according to the presence or absence of ergodicity-breaking phase transitions at infinite integrated response.

17 pages, 5 figures

References in corpus (7)

• Emergence of Cooperation and Organization in an Evolutionary Game
• Criticality and finite size effects in a simple realistic model of stock market
• Generating Functional Analysis of the Dynamics of the Batch Minority Game with Random External Information
• Continuum time limit and stationary states of the Minority Game
• Minority game with arbitrary cutoffs
• Broken ergodicity and memory in the minority game
• Minority mechanisms in models of agents learning collectively a resource level

Cited by in corpus (6)

• Mass Media Influence Spreading in Social Networks with Community Structure
• Statistical mechanics and stability of a model eco-system
• Statistical Mechanics of Competitive Resource Allocation using Agent-based Models
• Nonequilibrium Opinion Spreading on 2D Small-World Networks
• Market response to external events and interventions in spherical minority games
• Taking a shower in Youth Hostels: risks and delights of heterogeneity