Equidistribution in Sharing Games

• 作者: Carlos D’ Andrea Emiliano Gómez
• 来源期刊: 离散数学期刊(英文)
• 学科: 数学
• 关键词: EQUIDISTRIBUTION ITERATION Linear TRANSFORMATION LIMIT Distribution
• 年，卷（期）: 2014,（1）
• 页码范围: 9-18
• 页数: 10页
• 分类号: O1

摘要

Games often provide a good introduction to interesting phenomena in mathematics. In this note, we examine three variations of an iterative sharing game played around a circular (or not so circular) table. More precisely, for each variation, we study the tendency toward equal distribution among the players. In the first variation, the players have discrete amounts at each step. The second variation removes this restriction, and the third one considers an infinitely long table with an infinite number of players.