On a Theorem of De Finetti, Oddsmaking, and Game Theory

Heath, David C.; Sudderth, William D.

Ann. Math. Statist., Tome 43 (1972) no. 6, p. 2072-2077 / Harvested from Project Euclid

Résumé

A theorem of de Finetti states that if odds are posted on each set in a finite partition of a probability space, then either the odds are consistent with a finitely additive probability measure or a sure win is possible. A generalization of this result is proved which in turn implies a generalization of Von Neumann's theorem on the existence of the value of a game. Also, two horse race examples are considered.

Publié le : 1972-12-14
Classification:

@article{1177690887,
     author = {Heath, David C. and Sudderth, William D.},
     title = {On a Theorem of De Finetti, Oddsmaking, and Game Theory},
     journal = {Ann. Math. Statist.},
     volume = {43},
     number = {6},
     year = {1972},
     pages = { 2072-2077},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177690887}
}

Heath, David C.; Sudderth, William D. On a Theorem of De Finetti, Oddsmaking, and Game Theory. Ann. Math. Statist., Tome 43 (1972) no. 6, pp.  2072-2077. http://gdmltest.u-ga.fr/item/1177690887/