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References

  1. Arthur T. Benjamin and Matthew T. Fluet. The best way to Knock 'm Down. The UMAP Journal, 20(1):11--20, 1999.
  2. Arthur T. Benjamin and Matthew T. Fluet. What's best? Amer. Math. Monthly, 107(6):560--562, 2000. MR1767066
  3. Arthur T. Benjamin, Matthew T. Fluet, and Mark L. Huber. Optimal token allocations in Solitaire Knock 'm Down. Electron. J. Combin., 8(2):Research Paper 2, 8 pp., 2001. In honor of Aviezri Fraenkel on the occasion of his 70th birthday. MR1853253
  4. Ky Fan. Minimax theorems. Proc. Nat. Acad. Sci. U.S.A., 39:42--47, 1953. MR0055678
  5. Matthew T. Fluet. Searching for optimal strategies in Knock 'm Down, 1999. Senior thesis, Harvey Mudd College, Claremont, CA.
  6. James A. Fill and David B. Wilson. Solitaire Knock 'em Down, 2006. Manuscript.
  7. Gordon Hunt. Knock 'm down. Teaching Stat., 20(2):59--62, 1998.
  8. Pertti Mattila. Geometry of Sets and Measures in Euclidean Spaces, fractals and rectifiability, volume 44 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, 1995. MR1333890
  9. Daniel W. Stroock. Probability Theory, an analytic view. Cambridge University Press, Cambridge, 1993. MR1267569
  10. Maurice Sion and Philip Wolfe. On a game without a value. In Contributions to the theory of games, vol. 3, Annals of Mathematics Studies, no. 39, pages 299--306. Princeton University Press, Princeton, N. J., 1957. MR0093742


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