Economics Pre-flop Player Model – Position and VPIP In this article, we consider a behavioral model for pre-flop. We consider a model that changes pre-flop hand ranges depending on the number of players at the table and their positions. 2025.07.20 EconomicsProbability
Economics Optimal Heads-Up All-In This article considers optimal all-in strategies in heads-up games using counterfactual regret minimization. 2025.06.28 EconomicsProbability
Economics Incomplete Information Games and Counterfactual Regret Minimization This article provides an overview of an algorithm called Counterfactual Regret Minimalization (CFR), which is used in poker solvers. 2025.06.21 EconomicsProbability
Economics Pre-flop Player Model – continued Continuing from last time, we will consider pre-flop behavioral models, including mixed strategies and changes in VPIP for each position. 2025.06.18 EconomicsProbability
Economics Pre-flop Player Model This article considers a model of a player's preflop behavior in Texas Hold'em. In particular, we consider a method to express the player's preference ranking of which hand to use first. 2025.06.07 EconomicsProbability
Economics ICM (Independent Chip Model) This article introduces a model called ICM (Independent Chip Model) that estimates the expected prize money that can be won in a Texas Hold'em tournament. 2025.04.27 EconomicsProbability
Economics Texas Hold’em and Expected Utility Functions – Addendum – This article will supplement my previous posts with information about Texas Hold'em and expected utility functions. In addition, I will briefly describe my impressions of playing Texas Hold'em. 2025.01.16 Economics
Economics Texas Hold’em and Game Theory This article outlines how to predict the opponent's hand (hand range) in Texas Hold'em and how to apply game theory. By adding these elements as player functions in the game, it may be possible to create a stronger NPC player. 2024.12.27 Economics
Economics Texas Hold’em and Expected Utility Theory In order to design the behavior of NPCs in Texas Hold'em, we consider how to make decisions using expected utility theory. At the same time, we consider what factors represent the strength and weakness of players. 2024.12.16 Economics
Economics Extension of the Kelly Criterion in Gambling: CRRA-type Utility Function In this article, we extend the Kelly criterion to a more general utility function (CRRA-type utility function) and explain how to determine a betting portfolio based on a gambler's risk aversion. 2024.07.06 EconomicsProbability