Optimal Play of the Dice Game Pig

@inproceedings{Neller2004OptimalPO,
  title={Optimal Play of the Dice Game Pig},
  author={Todd W. Neller and Clifton G. M. Presser},
  year={2004}
}
The object of the jeopardy dice game Pig is to be the first player to reach 100 points. Each player's turn consists of repeatedly rolling a die. After each roll, the player is faced with two choices: roll again, or hold (decline to roll again). • If the player rolls a 1, the player scores nothing and it becomes the opponent's turn. • If the player rolls a number other than 1, the number is added to the player's turn total and the player's turn continues. • If the player holds, the turn total… CONTINUE READING

Citations

Publications citing this paper.
SHOWING 1-10 OF 22 CITATIONS

On a staged successive approximation procedure for approximate dynamic programming solutions to board game playing

  • 2015 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM)
  • 2015
VIEW 17 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

Retrograde Approximation Algorithms for Jeopardy Stochastic Games

VIEW 12 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

A non-iterative algorithm for generalized pig games

VIEW 3 EXCERPTS
CITES BACKGROUND & METHODS
HIGHLY INFLUENCED

Recent studies on the Dice Race Problem and its connections

VIEW 4 EXCERPTS
CITES METHODS & BACKGROUND
HIGHLY INFLUENCED

Dynamic decision making and race games

Elena Calvert Awardfor
  • 2017
VIEW 2 EXCERPTS
CITES BACKGROUND & METHODS

References

Publications referenced by this paper.
SHOWING 1-10 OF 29 REFERENCES

Farmer Klaus and the mouse

Campbell, J. Paul
  • The UMAP Journal 23 (2): 121–134. 2004. Errata. 24 (4): 484.
  • 2002

Durango Bill’s “Pig (Pig-out)” analysis

Butler, Bill.
  • http://www. durangobill.com/Pig.html.
  • 2001

Game of PIG—Sixes

Beardon, Toni, Elizabeth Ayer.
  • NRICH (June 2001 and May 2004). http://www.nrich.maths.org/public/viewer. php?obj_id=1258 .
  • 2001

Numerical Analysis

Burden, L. Richard, J. Douglas Faires.
  • 7th ed. Pacific Grove, CA: Brooks/Cole Publishing Co.
  • 2001

Weird dice

Peterson, Ivars.
  • Muse Magazine. (May/June): 18.
  • 2000