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 frozen-time 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 |
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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 Decision-Making 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: | 05 Oct 2019 04:58 |
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) Fokker-Planck 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, 271-295. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/39377 |