Spēles ar nepilnīgu informāciju, Texas holdem spēles situāciju modelēšana
Date
2020
Authors
Āboliņš, Roberts
Journal Title
Journal ISSN
Volume Title
Publisher
Latvijas Universitāte
Abstract
Bakalaura darbā pētītas pretinieku modelēšanas metodes, risināti un analizēti spēlētāju stratēģiju veidi. Lai to paveiktu, ir nepieciešams iepazīties ar Spēļu teoriju. Skaidrākam kontekstam tiek aplūkoti spēļu teorijas jēdzieni, spēļu klasifikācija, tuvāk apskatītas spēles ar nepilnīgu informāciju, kas sevī iekļauj arī Beijesa formulas pielietošanu praktiski, kas nepieciešama, lai sekmīgi analizētu spēli. Kā pētāmā spēle izmantota pokera veids – Texas Hold’em, kuras noteikumi un izspēles gaita ir aprakstīta darbā. Spēlei ir izveidotas pretinieku modelēšanas metodes un aprēķinātas uzvaras varbūtības pie noteiktu izspēļu variantiem. Darba noslēgumā ir simulēta 2 spēlētāju spēle, lai praktiski apskatītu aprakstītos modeļus.
The bachelor's thesis studies opponent modeling methods to solve and analyze the types of player strategies. To do this, it is necessary to describe and study Game Theory. For a clearer context, the concepts of game theory, game classification, games with incomplete information are examined, which also includes the consideration and application of the Bayesian formula in practice, which is necessary to successfully study the game under study. The type of poker used as the research game is Texas Hold'em, the rules and course of which are described in the work. For this game, methods of modeling opponents have been developed and the probabilities of winning at certain game variants have been calculated. At the end of the work, a 2-player game is simulated to practically view the described models.
The bachelor's thesis studies opponent modeling methods to solve and analyze the types of player strategies. To do this, it is necessary to describe and study Game Theory. For a clearer context, the concepts of game theory, game classification, games with incomplete information are examined, which also includes the consideration and application of the Bayesian formula in practice, which is necessary to successfully study the game under study. The type of poker used as the research game is Texas Hold'em, the rules and course of which are described in the work. For this game, methods of modeling opponents have been developed and the probabilities of winning at certain game variants have been calculated. At the end of the work, a 2-player game is simulated to practically view the described models.
Description
Keywords
Matemātika , spēļu teorija , spēles ar nepilnīgu informāciju , Beijesa formula , pokers , Texas Hold’em.