Multiple Objective Dynamic Programming

Optimal strategies in the fighting fantasy gaming system: Influencing stochastic dynamics by gambling with limited resource

“…Markov analysis, dynamic programming, and simulation have been recently used to explore strategies and outcomes in a variety of games, sports, and TV challenges ( Clarke & Norman, 2003;Johnston, 2016;Lee, 2012;Percy, 2015;Perea & Puerto, 2007;Smith, 2007 ). Specific analyses of popular recreational games with a stochastic element including Solitaire ( Kuykendall & Mackenzie, 1999;Rabb, 1988 ), Flip ( Trick, 2001 ), Farmer Klaus and the Mouse ( Campbell, 2002 ), Tetris ( Kostreva & Hartman, 2003 ), and The Weakest Link ( Thomas, 2003 ). These approaches typically aim to identify the optimal strategy for a given state, and, in win/lose games, the overall probability of victory over all possible instances of the game ( Smith, 2007 ).…”