Gambler’s ruin problem on Erdős-Rényi graphs

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• 作者：Zoltá ; n Né ; da^a ; ^{zneda@phys.ubbcluj.ro} ; Larissa Davidova^a ; Szeré ; na Ú ; jvá ; ri^a ; Gabriel Istrate^b ; ^c
• 关键词：Ruin game ; Random graphs ; Wealth distribution models
• 刊名：Physica A: Statistical Mechanics and its Applications
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：468
• 期：Complete
• 页码：147-157
• 全文大小：590 K
• 卷排序：468

文摘

A simple and theoretically solvable model is proposed for wealth redistribution phenomena on random graphs. Analytical approximations are derived and compared with numerical calculations. Compact formulas are derived for the length of the game and for the statistics of the final state. Interdisciplinary applications of the model are discussed.