Finitely additive behavioral strategies: when do they induce an unambiguous expected payoff?
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DOI: 10.1007/s00182-024-00892-5
Abstract: We examine infinite horizon decision problems with arbitrary bounded payoff functions in which the decision maker uses finitely additive behavioral strategies. Since we only assume that the payoff function is bounded, it is well-known that… read more here.
Keywords: unambiguous expected; finitely additive; expected payoff; behavioral strategies ... See more keywords
Convergence to the Truth Without Countable Additivity
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DOI: 10.1007/s10992-020-09569-2
Abstract: Must probabilities be countably additive? On the one hand, arguably, requiring countable additivity is too restrictive. As de Finetti pointed out, there are situations in which it is reasonable to use merely finitely additive probabilities.… read more here.
Keywords: countable additivity; convergence truth; additivity; finitely additive ... See more keywords
Finitely additive measures and complementability of Lipschitz-free spaces
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DOI: 10.1007/s11856-019-1829-y
Abstract: We prove in particular that the Lipschitz-free space over a finite-dimensional normed space is complemented in its bidual. For Euclidean spaces the norm of the respective projection is 1. As a tool to obtain the… read more here.
Keywords: additive measures; lipschitz free; free spaces; complementability lipschitz ... See more keywords
Finitely additive mixtures of probability measures
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DOI: 10.1016/j.jmaa.2021.125114
Abstract: Abstract Let D be a linear space of real bounded functions and P : D → R a coherent functional. Also, let Q be a collection of coherent functionals on D. Under mild conditions, there… read more here.
Keywords: finitely additive; additive mixtures; mixtures probability; probability measures ... See more keywords
General Markov Chains: Dimension of the Space of Invariant Finitely Additive Measures and Their Ergodicity—Problematic Examples
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DOI: 10.3390/math13223690
Abstract: This study considers general Markov chains (MCs) with discrete time in an arbitrary phase space. The transition function of the MC generates two operators: T, which acts on the space of measurable functions, and A,… read more here.
Keywords: general markov; space; additive measures; finitely additive ... See more keywords