Periodicity of equilibrium structures in a time dependent markov model under stochastic environment

✍ Scribed by Tsantas, N. ;Georgiou, A. C.

• Publisher: John Wiley and Sons
• Year: 1994
• Tongue: English
• Weight: 478 KB
• Volume: 10
• Category: Article
• ISSN: 8755-0024
• DOI: 10.1002/asm.3150100405

✦ Synopsis

The problem of periodicity for a non-homogeneous Markov model in a stochastic environment is studied. The stochastic concept is established through the notion of optional scenarios applied on the transition process. It is proved that the sequence of so-called aggregate structures follows a certain periodic pattern that can split into converging subsequences according to alternative policies. These limits are highly influenced by the different scenarios utilized in the model, but always lie on a convex region that also depends on the pool of alternatives.