Title :
Chilled Domineering
Author :
Kao, Kuo-Yuan ; Wu, I-Chen ; Shan, Yi-Chang ; Lin, Hung-Hsuan
Author_Institution :
Dept. of Inf. Manage., Nat. Penghu Univ., Penghu, Taiwan
Abstract :
This paper introduces a new game named Chilled Domineering, together with its mathematical analysis. Chilled Domineering is modified from the Domineering game by allowing a player placing a 1×1 domino while unable to place a 2×1 domino at a position. After modifying the rule, each position in the game becomes an infinitesimal. Many interesting infinitesimals are found in this new game. This paper calculates the game values of all sub-graphs of 3×3 squares and presents a rule to determine the outcome of any sum of these positions.
Keywords :
game theory; mathematical analysis; Chilled Domineering; game theory; mathematical analysis; Domineering; combinatorial games; infinitesimals;
Conference_Titel :
Technologies and Applications of Artificial Intelligence (TAAI), 2010 International Conference on
Conference_Location :
Hsinchu City
Print_ISBN :
978-1-4244-8668-7
Electronic_ISBN :
978-0-7695-4253-9
DOI :
10.1109/TAAI.2010.74
