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Wealth condensation as a zero range process

Presented by: 
D Johnston [Heriot-Watt]
Thursday 16th February 2006 - 11:00 to 12:00
INI Seminar Room 2

We discuss the wealth condensation mechanism in a simple toy economy in which individual agent's wealths are distributed according to a Pareto power law and the overall wealth is fixed. The observed behaviour is the manisfestation of a transition which occurs in Zero Range Processes (ZRPs) or ``balls in boxes'' models. An amusing feature of the transition in this context is that the condensation can be induced by {\it increasing} the exponent in the power law, which one might have naively assumed penalized greater wealths more.

Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons