Results 1 to 10 of about 23,097 (257)

Finitely additive measures on 𝑁 and the additive property [PDF]

Proceedings of the American Mathematical Society, 1984
Finitely additive measures on N {\mathbf {N}} satisfying an approximation of countable additivity, called (AP), are studied. These measures are generalizations of p p -points. From a p p -point a translation invariant measure with (AP) is constructed.
openaire   +1 more source

Translation invariance and finite additivity in a probability measure on the natural numbers

International Journal of Mathematics and Mathematical Sciences, 2002
Inspired by the “two envelopes exchange paradox,” a finitely additive probability measure m on the natural numbers is introduced. The measure is uniform in the sense that m({i})=m({j}) for all i,j∈ℕ.
Robert Gardner, Robert Price
doaj   +1 more source

Convergence and submeasures in Boolean algebras [PDF]

, 2017
A Boolean algebra carries a strictly positive exhaustive submeasure if and only if it has a sequential topology that is uniformly Frechet.Comment: In memory of Bohuslav ...
Jech, Thomas
core   +2 more sources

Finitely additive and measurable stochastic games [PDF]

International Journal of Game Theory, 1993
We consider two-person zero-sum stochastic games with arbitrary state and action spaces, a finitely additive law of motion and limit superior payoff function. The players use finitely additive strategies and the payoff function is evaluated in accordance with the theory of strategic measures as developed by Dubins and Savage.
Maitra, A., Sudderth, W.
openaire   +2 more sources

Weak Sequential Convergence in Bounded Finitely Additive Measures [PDF]

Vietnam Journal of Mathematics, 2020
The second author is supported by Grant PGC2018-094431-B-I00 of the Ministry of Science, Innovation and Universities of Spain.
Salvador López-Alfonso, Manuel López-Pellicer   +1 more
openaire   +4 more sources

Supermartingales as Radon-Nikodym densities and related measure extensions

, 2015
Certain countably and finitely additive measures can be associated to a given nonnegative supermartingale. Under weak assumptions on the underlying probability space, existence and (non)uniqueness results for such measures are proven.Comment: Published ...
Perkowski, Nicolas, Ruf, Johannes
core   +1 more source

Existence of equilibria in countable games: an algebraic approach

, 2013
Although mixed extensions of finite games always admit equilibria, this is not the case for countable games, the best-known example being Wald's pick-the-larger-integer game.
Aliprantis, Baer, Bhaskara Rao, Candogan, Carmona, Carmona, Carmona, Chou, Cotter, Dasgupta, Day, de Finetti, de Finetti, de Finetti, Debreu, Dubins, Dunford, Fan, Følner, Glicksberg, Haar, Harris, Heath, Hildebrandt, Kindler, Maitra, Maitra, Marco Scarsini, Marinacci, Merkle, Morrison, Nash, Nash, Neumann, Olʼšanskiĭ, Paterson, Reny, Savage, Schervish, Simon, Simon, Stinchcombe, Stinchcombe, Valerio Capraro, von Neumann, Wald, Yanovskaya   +46 more
core   +1 more source

Outer measures, measurability, and lattice regular measures

International Journal of Mathematics and Mathematical Sciences, 1996
Let X be an arbitrary non-empty set, and ℒ a lattice of subsets of X such that ∅, X∈ℒ. 𝒜(ℒ) denotes the algebra generated by ℒ and I(ℒ) those zero-one valued, non-trivial, finitely additive measures on 𝒜(ℒ)Iσ(ℒ) denotes those elements of I(ℒ) that are σ ...
J. Ponnley
doaj   +1 more source

Webs and Bounded Finitely Additive Measures

Journal of Mathematical Analysis and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Special measures and repleteness

International Journal of Mathematics and Mathematical Sciences, 1993
Let X be an abstract set and ℒ a lattice of subsets of X. To each lattice-regular measure μ, we associate two induced measures μ⌢ and μ˜ on suitable lattices of the Wallman space IR(ℒ) and another measure μ′ on the space IRσ(ℒ).
El-Bachir Yallaoui
doaj   +1 more source