Stochastic

Due to the transition from 30 to 10 frequencies for

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Unformatted text preview: (diamonds on the graph), and three Community Chest squares at 2, 17, 33 (squares on the graph), where you draw a card, which can send you to another square. 31 1.6. SPECIAL EXAMPLES 3.5 3 2.5 2 1.5 1 0.5 0 0 5 10 15 20 25 30 35 40 Figure 1.1: Stationary distribution for monopoly. The graph gives the long run frequencies of being in di↵erent squares on the Monopoly board at the end of your turn, as computed by simulation. We have removed the 9.46% chance of being In Jail to make the probabilities easier to see. The value reported for square 10 is the 2.14% probability of Just Visiting Jail, i.e., being brought there by the roll of the dice. Square 30, Go to Jail, has probability 0 for the obvious reasons. The other three lowest values occur for Chance squares. Due to the transition from 30 to 10, frequencies for squares near 20 are increased relative to the average of 2.5% while those after 30 or before 10 are decreased. Squares 0 (Go) and 5 (Reading Railroad) are exceptions to this trend since there are Chance cards that instruct you to go there. 1.6.2 Detailed...
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This document was uploaded on 03/06/2014 for the course MATH 4740 at Cornell.

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