DeepAI AI Chat
Log In Sign Up

The Game of Blocking Pebbles

12/04/2017
by   Michael Fisher, et al.
0

Graph Pebbling is a well-studied single-player game on graphs. We introduce the game of Blocking Pebbles which adapts Graph Pebbling into a two-player strategy game in order to examine it within the context of Combinatorial Game Theory. Positions with game values matching all integers, all nimbers, and many infinitesimals and switches are found.

READ FULL TEXT

page 1

page 2

page 3

page 4

07/25/2018

Maker-Breaker domination game

We introduce the Maker-Breaker domination game, a two player game on a g...
08/14/2022

Move first, and become unbeatable: Strategy study of different Tic-tac-toe

The main challenge of combinatorial game theory is to handle combinatori...
03/24/2021

The combinatorial game nofil played on Steiner Triple Systems

We introduce an impartial combinatorial game on Steiner triple systems c...
06/15/2020

Blocking defector invasion by focusing on the most successful partner

According to the standard protocol of spatial public goods game, a coope...
01/19/2021

Game values of arithmetic functions

Arithmetic functions in Number Theory meet the Sprague-Grundy function f...
06/12/2015

New Results for Domineering from Combinatorial Game Theory Endgame Databases

We have constructed endgame databases for all single-component positions...
04/19/2018

Analysis of the Game "2048" and its Generalization in Higher Dimensions

We theoretically analyze the popular mobile app game `2048' for the firs...