Alternative Axiomatizations of One-Way Expected Utility

Fishburn, Peter C.

Ann. Math. Statist., Tome 43 (1972) no. 6, p. 1648-1651 / Harvested from Project Euclid

Résumé

An axiomatization for one-way expected utility, $P \succ Q \Rightarrow E(u, P) > E(u, Q)$, is given which places no restriction on the cardinality of the consequence set. In comparison with a previous axiomatization [Ann. Math. Statist. $\mathbf{42}$ (1971) 572-577] for finite consequence sets, the new axioms strengthen the Archimedean property and weaken the order-independence conditions. In particular, the new theory avoids the criticism of indifference due to threshold phenomena that affects the previous axiomatization.

Publié le : 1972-10-14
Classification:

@article{1177692397,
     author = {Fishburn, Peter C.},
     title = {Alternative Axiomatizations of One-Way Expected Utility},
     journal = {Ann. Math. Statist.},
     volume = {43},
     number = {6},
     year = {1972},
     pages = { 1648-1651},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1177692397}
}

Fishburn, Peter C. Alternative Axiomatizations of One-Way Expected Utility. Ann. Math. Statist., Tome 43 (1972) no. 6, pp.  1648-1651. http://gdmltest.u-ga.fr/item/1177692397/