@article {IOPORT.05712189, author = {Haven, Emmanuel}, title = {The Blackwell and Dubins theorem and R\'enyi's amount of information measure: Some applications.}, year = {2010}, journal = {Acta Applicandae Mathematicae}, volume = {109}, number = {3}, issn = {0167-8019}, pages = {743-757}, publisher = {Springer, Dordrecht}, doi = {10.1007/s10440-008-9343-y}, abstract = {In this interesting survey paper, the author justifies how quantum-like concepts can be used in macroscopic environments. First, the author briefly describes a theory that allows the existence of a wave function as an information wave function; multiplicity of paths; and non-locality. He believes that this theory can be beneficial in microscopic setting such as economics. Then the author provides arguments for the justification for the use of the concept of a quantum mechanical wave function as an information wave function, $\Psi (q)$. He present a convincing argument how $|\Psi (q) |^2$, can be interpreted as a Radon-Nikodym derivative. Further, he shows how this derivative can be used in [{\it A. R\'enyi}'s, Proc. 4th Berkeley Symp. Math. Stat. Probab. 1, 547--561 (1961; Zbl 0106.33001)] measure of quantity of information. Finally, the author provides an interpretation of the {\it D. Blackwell} and {\it L. Dubins} [Ann. Math. Stat. 33, 882--886 (1962; Zbl 0109.35704)] Theorem using R\'enyi's measure of quantity of information.}, reviewer = {Prasanna Sahoo (Louisville)}, identifier = {05712189}, }