Goal problems in gambling theory

A short introduction to goal problems in abstract gambling theory is given, along with statementes of some of the main theorems and a number of examples, open problems and references. Emphasis is on the finite-state, countably-additive setting with such classical objectives as reaching a goal, hitti...

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Autor Principal: Hill, Theodore
Formato: Artículo
Idioma: Español
Publicado: 2015
Acceso en línea: http://revistas.ucr.ac.cr/index.php/matematica/article/view/173
http://hdl.handle.net/10669/12810
Sumario: A short introduction to goal problems in abstract gambling theory is given, along with statementes of some of the main theorems and a number of examples, open problems and references. Emphasis is on the finite-state, countably-additive setting with such classical objectives as reaching a goal, hitting a goal  infinitely often, staying in the goal, and maximizing the average time spent at a goal.keywords: gambling theory, stochastic processes, Markov strategies.