The Stationary Distributions of a Class of Markov Chains

• 作者: Chris Cannings
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Parker’s MODEL MARKOV CHAINS INTEGER SEQUENCES
• 年，卷（期）: yysxyw_2013,（5）
• 页码范围: 769-773
• 页数: 5页
• 分类号: O1

摘要

The objective of this paper is to find the stationary distribution of a certain class of Markov chains arising in a biological population involved in a specific type of evolutionary conflict, known as Parker’s model. In a population of such players, the result of repeated, infrequent, attempted invasions using strategies from{0,1,2,…,m-1}, is a Markov chain. The stationary distributions of this class of chains, for m ε {3,4,…,∞} are derived in terms of previously known integer sequences. The asymptotic distribution (for m →∞) is derived.