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.
kaname.hirano
Economics 
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.
Probability Omaha Hold’em
I have developed several tools for Texas Hold'em, but I have also developed a similar tool for Omaha Hold'em, so I will provide a link to it. In addition, I will provide an overview of the rules and features of Omaha Hold'em.
Probability VPIP and Hand Range: Omaha Hold’em
Assuming that players call or raise in order of the hands with the highest winning probability, we will consider what the hand ranges are for players with different VPIP in Omaha Hold'em.
Probability Omaha Hold’em Hand Combinations
We will consider how to represent hand combinations in Omaha Hold'em.
Probability Short Deck Hold’em
I have developed several tools for Texas Hold'em, but I have also developed a similar tool for Short Deck Hold'em, so I will post a link to it. In addition, I will outline the rules and features of Short Deck Hold'em.