Rigorous results for the distribution of money on connected graphs

DOI10.1007/s10955-018-2024-yzbMath1395.82150arXiv1801.00485OpenAlexW2782032713MaRDI QIDQ723389

Stephanie Reed, Nicolas. Lanchier

Publication date: 31 July 2018

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

Full work available at URL: https://arxiv.org/abs/1801.00485

zbMATH Keywords

interacting particle systemseconophysicsdistribution of moneyimmediate exchange modeluniform reshufflinguniform saving

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Applications of statistical mechanics to specific types of physical systems (82D99) 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 ⋮ Entropy dissipation and propagation of chaos for the uniform reshuffling model ⋮ Explicit decay rate for the Gini index in the repeated averaging model ⋮ 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

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• Stochastic modeling
• Rigorous proof of the Boltzmann-Gibbs distribution of money on connected graphs
• Kinetic models of immediate exchange
• The immediate exchange model: an analytical investigation

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