On a Boltzmann-type price formation model

Martin Burger, Luis A. Caffarelli, Peter A. Markowich, Marie Therese Wolfram

Research output: Contribution to journalArticlepeer-review

25 Scopus citations


In this paper, we present a Boltzmann-type price formation model, which is motivated by a parabolic free boundary model for the evolution of price presented by Lasry and Lions in 2007. We discuss the mathematical analysis of the Boltzmann-type model and show that its solutions converge to solutions of the model by Lasry and Lions as the transaction rate tends to infinity. Furthermore, we analyse the behaviour of the initial layer on the fast time scale and illustrate the price dynamics with various numerical experiments. © 2013 The Author(s) Published by the Royal Society. All rights reserved.
Original languageEnglish (US)
Pages (from-to)20130126
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2157
StatePublished - Jul 3 2013

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Engineering(all)
  • Mathematics(all)


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