کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
976194 933094 2010 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Laplace transform analysis of a multiplicative asset transfer model
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Laplace transform analysis of a multiplicative asset transfer model
چکیده انگلیسی
We analyze a simple asset transfer model in which the transfer amount is a fixed fraction f of the giver's wealth. The model is analyzed in a new way by Laplace transforming the master equation, solving it analytically and numerically for the steady-state distribution, and exploring the solutions for various values of f∈(0,1). The Laplace transform analysis is superior to agent-based simulations as it does not depend on the number of agents, enabling us to study entropy and inequality in regimes that are costly to address with simulations. We demonstrate that Boltzmann entropy is not a suitable (e.g. non-monotonic) measure of disorder in a multiplicative asset transfer system and suggest an asymmetric stochastic process that is equivalent to the asset transfer model.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Physica A: Statistical Mechanics and its Applications - Volume 389, Issue 14, 15 July 2010, Pages 2782-2792
نویسندگان
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