Rigorous proof of the Boltzmann-Gibbs distribution of money on connected graphs

DOI10.1007/s10955-017-1744-8zbMath1376.82040arXiv1701.00889OpenAlexW3103390498MaRDI QIDQ2409972

Nicolas. Lanchier

Publication date: 16 October 2017

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.00889

zbMATH Keywords

interacting particle systemseconophysicsBoltzmann-Gibbs distribution

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Equilibrium statistical mechanics (82B99) Spatial models in economics (91B72)

Related Items (6)

Uncovering a Two-Phase Dynamics from a Dollar Exchange Model with Bank and Debt ⋮ Derivation of wealth distributions from biased exchange of money ⋮ Rigorous results for the distribution of money on connected graphs ⋮ The role of cooperation in spatially explicit economical systems ⋮ Rigorous results for the distribution of money on connected graphs (models with debts) ⋮ A viral load-based model for epidemic spread on spatial networks

Cites Work

• Yard-Sale exchange on networks: wealth sharing and wealth appropriation
• Effects of network topology on wealth distributions
• Sociophysics: A new approach of sociological collective behaviour. I. mean‐behaviour description of a strike
• Introduction to Econophysics
• Essentials of Stochastic Processes
• Kinetic models of immediate exchange
• The immediate exchange model: an analytical investigation
• Unnamed Item

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