Economics

Economics

Optimal Heads-Up All-In

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

Pareto Principle

There was apparently an empirical rule that the top 20% of people in a nation account for 80% of the income. This rule is known as the Pareto Principle.