Probability

Antes and Preflop Strategy

Using the simulation created in the previous post, we can find the strategy with the highest expected value when a specific hand is dealt. In this article, we will try to see how much the preflop strategy differs with and without an ante.
Probability

Preflop Strategy and Playing Style

We use Monte Carlo simulation to verify the validity of the claim made in poker books that players can gain an advantage by limiting their VPIP when playing the game.
Probability

VPIP and Hand Range

Assuming that players call or raise in order of the hands with the highest chance of winning, we will consider what the hand ranges of players with different VPIPs would be.
Probability

Preflop All-In and the Optimal Stopping Problem

We will consider a simplified example problem regarding preflop all-in and what hand range to enter with.
Probability

Model of the NIT in Texas Hold’em

We will consider the algorithm of actions of tight passive players, known as NITs, in Texas Hold'em. It only requires certain algorithmic actions, but we have implemented the game, so why not give it a try?
Probability

Bet Sizing in Texas Hold’em

There is a brief, fragmented discussion of bet sizing, pocket pairs, and preflop all-ins, plus some characteristics and strategies for dealing with tight passive players.
Probability

Post-flop Strategy in Texas Hold’em

This article will discuss post-flop betting strategies and bluffing in Texas Hold'em, as well as strategies to use against loose-aggressive opponents.
Probability

Texas Hold’em Flop Strategy

This article will provide an overview of strategies for the flop (second betting round) in Texas Hold'em. In addition, it will discuss strategies for playing against opponents with beginner-like playing styles (loose passive).
Probability

Pre-flop Strategy in Texas Hold’em

In my previous post, I wrote that at tables with a lot of beginners, tight aggressive players seem weaker than I expected, and I think I've figured out why, so the purpose of this article is to briefly explain it.
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.