Strati, Francesco (2012): A mathematical introduction to transitional lotteries.

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Abstract
When we face a decision matter we do not face a frozentime where all keep still while we are making a decision, but the time goes by and the probability distribution keeps moving by new available information. In this paper I want to build up the mathematical framework of a special kind of lottery: the transitional lotteries. This theory could be helpful to give to the decision theory a new key so as to dene a more accurate mental path. In orther to do that we will need a mathematical framework based upon the Kolmogorov operator which will be our transitional object, the core of this kind of lottery.
Item Type:  MPRA Paper 

Original Title:  A mathematical introduction to transitional lotteries 
Language:  English 
Keywords:  Kolmogorov equations, Decision theory, lotteries 
Subjects:  D  Microeconomics > D8  Information, Knowledge, and Uncertainty > D81  Criteria for DecisionMaking under Risk and Uncertainty C  Mathematical and Quantitative Methods > C0  General > C02  Mathematical Methods 
Item ID:  39377 
Depositing User:  Francesco Strati 
Date Deposited:  12. Jun 2012 01:02 
Last Modified:  26. Feb 2013 14:23 
References:  1 Bourbaki, Nicolas (1968) Theory of sets, Hermann 2 Carfì, David (2012) Fondamenti di teoria delle decisioni: Teoria dei preordini e applicazioni, Volume I, Antipodes. 3 Carfì, David (2008) Optimal boundaries for decisions, MPRA Paper No. 29243. 4 Da Prato, Giuseppe (2011) An Introduction to Kolmogorov equations in Hilbert spaces, Lecture notes Scuola Normale Superiore (Pisa). 5 Da Prato, Giuseppe (2012) FokkerPlanck equations in Hilbert spaces, Lecture notes Scuola Normale Superiore (Pisa). 6 Da Prato, Giuseppe (2004) Functional Analytic Methods for Evolution Equations, Springer. 7 Da Prato, Giuseppe Zabczyk, Jerzy (2004) Second Order Partial Dierential Equations in Hilbert Spaces, Cambridge University Press. 8 Gr�atzer, George (2011) Lattice Theory: Foundation, Springer Basel 2011. 9 Priola, Enrico (1999) On a class of Markov type semigroups in spaces of uniformly continuousand bounded functions, Studia Math., 136, 271295. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/39377 