November 2023 A Diceless Game of the Classic and Finite Hyper Dice Backgammon: A New Class of Partizan Combinatorial Games
Elham Mehdi-Nezhad, Amir M. Rahimi
Missouri J. Math. Sci. 35(2): 210-220 (November 2023). DOI: 10.35834/2023/3502210

Abstract

We introduce the notion of a combinatorial game defined on a finite hyper dice backgammon (which is a generalization of the standard backgammon) by omitting the dice from it and call it Diceless or No Chance hyper dice backgammon. Instead of a random element, players choose their own numbers under certain constraints in full view of the opponent. The idea for this new game is simple and converts a non-combinatorial game (a game of chance) into an extended Partizan Combinatorial Game.

Citation

Download Citation

Elham Mehdi-Nezhad. Amir M. Rahimi. "A Diceless Game of the Classic and Finite Hyper Dice Backgammon: A New Class of Partizan Combinatorial Games." Missouri J. Math. Sci. 35 (2) 210 - 220, November 2023. https://doi.org/10.35834/2023/3502210

Information

Published: November 2023
First available in Project Euclid: 28 November 2023

Digital Object Identifier: 10.35834/2023/3502210

Subjects:
Primary: 26A33
Secondary: 34A55

Keywords: (diceless) hyper dice backgammon (= (diceless) HD-gammon) , (extended) partizan combinatorial game , Backgammon , combinatorial game theory , hyper die of size $n$ (= $n$-sided die) , perfect-information game , two-player game

Rights: Copyright © 2023 Central Missouri State University, Department of Mathematics and Computer Science

JOURNAL ARTICLE
11 PAGES

This article is only available to subscribers.
It is not available for individual sale.
+ SAVE TO MY LIBRARY

Vol.35 • No. 2 • Nov 2023
Back to Top