Kelly Criterion

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.
Probability

The Kelly Criterion in Gambling: Implementation

Some readers may want to try using the Kelly Criterion, so I have included the source code in VBA and python. This will probably be the last in "The Kelly Criterion in Gambling" series.
Probability

Extension of the Kelly Criterion in Gambling: Mean-Variance Utility Function

As another variant of the Kelly criterion, we define the utility function in terms of the mean and variance of the assets and consider the problem of maximizing it.
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.
Probability

The Kelly Criterion in Gambling

This article will explain the specific calculation method of the Kelly criterion in gambling according to Kelly's paper.