The Kolkata Paise Restaurant problem and resource utilization |
| |
Authors: | Anindya Sundar Chakrabarti Arnab Chatterjee |
| |
Institution: | a Economic Research Unit, Indian Statistical Institute, 203 B. T. Road, Kolkata 700108, India b Theoretical Condensed Matter Physics Division and Center for Applied Mathematics and Computational Science, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India c Condensed Matter and Statistical Physics Section, The Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy |
| |
Abstract: | We study the dynamics of the “Kolkata Paise Restaurant problem”. The problem is the following: In each period, N agents have to choose between N restaurants. Agents have a common ranking of the restaurants. Restaurants can only serve one customer. When more than one customer arrives at the same restaurant, one customer is chosen at random and is served; the others do not get the service. We first introduce the one-shot versions of the Kolkata Paise Restaurant problem which we call one-shot KPR games. We then study the dynamics of the Kolkata Paise Restaurant problem (which is a repeated game version of any given one shot KPR game) for large N. For statistical analysis, we explore the long time steady state behavior. In many such models with myopic agents we get under-utilization of resources, that is, we get a lower aggregate payoff compared to the social optimum. We study a number of myopic strategies, focusing on the average occupation fraction of restaurants. |
| |
Keywords: | Minority games Resource utilization Dynamics of choice problems |
本文献已被 ScienceDirect 等数据库收录! |
|