Mr. Milton, Mr. Bradley—Meet Andrey Andreyevich Markov

Philip J. Davis and William G. Chinn

Chapter 23 in 3.1416 And All That, 1985, pp 164-171 from Springer

Abstract: Abstract SOME OF YOU may be familiar with the board game called “Chutes and Ladders.” It’s a very simple game, and many young children have it in their game chest. The object of the game is to move a piece over a path consisting of a hundred consecutive squares. The first person to reach “home”—the square 100— wins. Players take turns spinning a spinner (Figure 2) and their pieces are moved accordingly. To add interest to the game, the path is peppered with nine ladders and ten chutes (Figure 1). If you are lucky and land on the foot of a ladder, you advance to the top of the ladder, that is, to a square farther along the path. If you are unlucky and land on the top of a chute you immediately plunge to the bottom, that is, to a square back along the path. Near the end of the game, there is an added fillip in the rule that you can advance home only by an exact spin.

Keywords: Markov Chain; Transition Matrix; Equal Probability; Russian Mathematician; Simple Game (search for similar items in EconPapers)
Date: 1985
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DOI: 10.1007/978-1-4615-8519-0_23

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