kaname.hirano

Economics

Optimal Heads-Up All-In

This article considers optimal all-in strategies in heads-up games using counterfactual regret minimization.
Music

I Made a Song based on Texas Hold’em

This is a story about making a song using a music generation AI service called Suno AI.
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.
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.
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.
Analysis

Differentiation of Holomorphic Functions

This article will briefly explain the differentiation of complex functions (holomorphic functions). It may be boring because it is textbook content, but I have written it in a way that makes it easy to understand the difference with the differentiation of real functions.
Probability

Probability of Hitting a Strong Hand on the Flop

This article shows the probability of getting a strong hand of two pairs or more on the flop in Texas Hold'em. We will consider which hands are given priority when choosing which hands to enter in order of the probability of getting two pairs or more.
Probability

Ultra Deep Stack Texas Hold’em

We will consider strategies for Texas Hold'em games with very deep stacks (500bb matches). The optimal strategy seems to be significantly different from that of regular Texas Hold'em.
Probability

Multi-Armed Bandit Problem

I will give an overview of the multi-armed bandit problem. I would like to consider applying it to Texas Hold'em in the future.
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.