The Kolkata Paise Restaurant problem and resource utilization

Anindya Sundar Chakrabarti, Bikas K. Chakrabarti, Arnab Chatterjee and Manipushpak Mitra

Physica A: Statistical Mechanics and its Applications, 2009, vol. 388, issue 12, 2420-2426

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 (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (16)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:388:y:2009:i:12:p:2420-2426

DOI: 10.1016/j.physa.2009.02.039

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