ELO System for Skat and Other Games of Chance

04/07/2021
by   Stefan Edelkamp, et al.
0

Assessing the skill level of players to predict the outcome and to rank the players in a longer series of games is of critical importance for tournament play. Besides weaknesses, like an observed continuous inflation, through a steadily increasing playing body, the ELO ranking system, named after its creator Arpad Elo, has proven to be a reliable method for calculating the relative skill levels of players in zero-sum games. The evaluation of player strength in trick-taking card games like Skat or Bridge, however, is not obvious. Firstly, these are incomplete information partially observable games with more than one player, where opponent strength should influence the scoring as it does in existing ELO systems. Secondly, they are game of both skill and chance, so that besides the playing strength the outcome of a game also depends on the deal. Last but not least, there are internationally established scoring systems, in which the players are used to be evaluated, and to which ELO should align. Based on a tournament scoring system, we propose a new ELO system for Skat to overcome these weaknesses.

READ FULL TEXT

page 1

page 2

page 3

page 4

08/05/2021

Using Machine Learning to Predict Game Outcomes Based on Player-Champion Experience in League of Legends

League of Legends (LoL) is the most widely played multiplayer online bat...
11/22/2020

Play Like the Pros? Solving the Game of Darts as a Dynamic Zero-Sum Game

The game of darts has enjoyed great growth over the past decade with the...
06/21/2022

On the Limitations of Elo: Real-World Games, are Transitive, not Additive

Real-world competitive games, such as chess, go, or StarCraft II, rely o...
04/07/2021

On the Power of Refined Skat Selection

Skat is a fascinating combinatorial card game, show-casing many of the i...
01/23/2013

Bayesian Poker

Poker is ideal for testing automated reasoning under uncertainty. It int...
04/29/2014

Assessing the players'performance in the game of bridge: A fuzzy logic approach

Contract bridge occupies nowadays a position of great prestige being, to...
06/04/2019

Visual Fixations Duration as an Indicator of Skill Level in eSports

Using highly interactive systems like computer games requires a lot of v...