The Dependent Chip Model (DCM): a simple and more realistic alternative to the Independent Chip Model (ICM)

TL;DR

The paper introduces the Dependent Chip Model (DCM), a recursive poker tournament model that accounts for initial chip stacks, providing more realistic prize distributions and influencing strategic decisions compared to the traditional ICM.

Contribution

The paper presents DCM as a novel, recursive alternative to ICM that better reflects the impact of initial stacks on tournament outcomes.

Findings

DCM often awards more money to top positions than ICM.

Last positions receive less money under DCM compared to ICM.

Differences between DCM and ICM can significantly alter tournament strategies.

Abstract

The Dependent Chip Model (DCM) is proposed as an alternative to the Independent Chip Model (ICM) usually employed in poker tournament negotiations. DCM constitutes a recursive exploration of a multiplayer Texas hold'em poker game tree tracking. The DCM procedure considers all players as having exactly the same playing skills and probabilities to win a single poker hand, but submitted to their stacks in order to survive along the successive hands. So, the final differences among bestowed prizes arise purely from the initial chip amounts, hence the name of this new proposed procedure. By considering DCM, the first podium positions usually collect more money than the amount granted by ICM. Conversely, the last podium positions receive less money than the quantities proposed by ICM. The differences among both methods sometimes lead to take distinct actions in tournaments. This can lead to very important monetary implications for professional players.