How to Win a War if You Must: Optimal Stopping Based on Success Runs
Starr, Norman
Ann. Math. Statist., Tome 43 (1972) no. 6, p. 1884-1893 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
A coin is tossed repeatedly at a fixed cost per toss. The payoff is the length of the terminal run of heads, less the cost of tossing. Properties of the dynamic programming solution are derived; the exact optimal policy and value of the game are obtained when the game has an infinite horizon, and the rate at which this solution is approached by the sequence of truncated strategies is analyzed numerically.
Publié le : 1972-12-14
Classification:  
@article{1177690859,
     author = {Starr, Norman},
     title = {How to Win a War if You Must: Optimal Stopping Based on Success Runs},
     journal = {Ann. Math. Statist.},
     volume = {43},
     number = {6},
     year = {1972},
     pages = { 1884-1893},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177690859}
}

Starr, Norman. How to Win a War if You Must: Optimal Stopping Based on Success Runs. Ann. Math. Statist., Tome 43 (1972) no. 6, pp.  1884-1893. http://gdmltest.u-ga.fr/item/1177690859/