Pig Visualizations

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For technical details of the solution: Todd W. Neller and Clifton G.M. Presser. Optimal Play of the Dice Game Pig, The UMAP Journal 25(1) (2004), pp. 25-47.
Solutions to other Pig variants, including Pass the Pigs®

If you cannot view the VRML files, download the Cortona VRML Client.

Thumbnail	Description	Media
	A cross section of the optimal policy when the opponent's score is 30. The optimal boundary is the black line. The player should roll again at any turn total below that boundary and hold for any total above. The gray areas show the scores and turn totals that are actually reachable by the optimal player.	Image Large Image
	The entire roll/hold boundary for the optimal Pig play policy.	Image Large Image Animation VRML
	A view of all of the states reachable by an optimal player. Notice that an optimal player (shown as player 1) will never hold with a value between 0 and 21.	Image Large Image Animation VRML
	Reachable states where rolling is optimal.	Image Large Image Animation VRML
	Probability contours in Pig space. The contours show where the probability of player 1 winning is 3%, 9%, 27% and 81%.	Image Large Image Animation VRML