Truel: The expanded version

• Main Authors: Morales, Arvien V., Santillan, Mark David M.
• Format: text
• Language: English
• Published: Animo Repository 2006
• Subjects: Game theory; Mathematica (Computer file)
• Online Access: https://animorepository.dlsu.edu.ph/etd_bachelors/17432
• Institution: De La Salle University

This study of truel, a three player duel, is an exposition of the article, The Truel , by Marc Kilgour and Steven Brams (1997). It focuses on the firing orders such as the Random Firing and the Sequential Firing. The markmanship, which is the probability of player hitting its target, plays a big factor in affecting the winning probabilities of each. The detailed derivation of transition probabilities for each absorbent state, that is, the state wherein there is a lone survivor, in a specific firing order are presented using the concept of Markov Chain. Under each firing order, strategies are being adopted in determining the survivors of the game. Moreover, for some strategies, certain combinations of markmanship are being analyzed in order to satisfy the given conditions. These were examined using Mathematica because of the rigorous computations it possesses. Aside from the elimination process, the convincing abilities of each player with regard to their rivals are also analyzed. Unlike the preceding discussions, the winning player is determined if it convinced all of its rivals and so markmanship of each player is also a factor in dominating the game. Mathematica is again used to analyze this variant of the game truel.