On Keynes's Z-function

This paper is intended to give a general, but rigorous view about what is the Z-function and what are the hidden relations of the Keynes’s General Theory. In Section 1 I shall depict the concept of probability and that of the weight of argument, in Section 2 I shall introduce quite an important definitions such as the Z-function is different from the Z∗-curve, and some paramount notions. The Section 4 is intended to grasp the importance of the chapters 20-21 of the General Theory, whereas in Section 5 I shall comment, very quickly, some properties of Z∗ in a topological view

A first introduction to S-Transitional Lotteries

In this paper I shall introduce a new method by which it is possible to study the dynamical decision maker's behaviour. It can be tought of as an application of the S -Linear Algebra of Professor David Carfì, thus this theory it is assumed to be known. I shall focus on the Feynman's propagator and thus the Feynman-Strati propagator. The latter stems form the former. It will be of utmost importance so as to give a meaning to both the evolution and the H-operator by which I shall derive the probability density of this kind of tempered distributio

A mathematical introduction to transitional lotteries

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

The nature of the S-linear algebra: For an S-propagator

This paper is intended to analyse an S-linear algebra’s application so as to build an S-propagator's concept. In particular we shall study a semi -deterministic propagator via superposition (it is intended the Carfì ́s notion of superposition)

A mathematical introduction to transitional lotteries

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

A first introduction to S-Transitional Lotteries

In this paper I shall introduce a new method by which it is possible to study the dynamical decision maker's behaviour. It can be tought of as an application of the S -Linear Algebra of Professor David Carfì, thus this theory it is assumed to be known. I shall focus on the Feynman's propagator and thus the Feynman-Strati propagator. The latter stems form the former. It will be of utmost importance so as to give a meaning to both the evolution and the H-operator by which I shall derive the probability density of this kind of tempered distributio

Le Preferenze Condizionate: Una Introduzione

This paper concerns a non-rigorous introduction to the theory of the "conditioning cognitive-behavioural" (or C-C-C). Rather it will be introduced a consumer approach which well explains the non-rational buy-actions with respect to several goods. In few words it will be considered a new determinant for the Slutsky equation: the social reinforcer. The aim of this work is to "introduce" the subject, a more rigorous form will be published

On superpositional filtrations

In this present work I shall define the basic notions of superpositional filtrations. Given a superposition integral I shall find a general measure theory by means of cylinder sets and then I shall define the properties of the s-filtration for a general process X

Le Preferenze Condizionate: Una Introduzione

This paper concerns a non-rigorous introduction to the theory of the "conditioning cognitive-behavioural" (or C-C-C). Rather it will be introduced a consumer approach which well explains the non-rational buy-actions with respect to several goods. In few words it will be considered a new determinant for the Slutsky equation: the social reinforcer. The aim of this work is to "introduce" the subject, a more rigorous form will be published

On Keynes's Z-function

This paper is intended to give a general, but rigorous view about what is the Z-function and what are the hidden relations of the Keynes’s General Theory. In Section 1 I shall depict the concept of probability and that of the weight of argument, in Section 2 I shall introduce quite an important definitions such as the Z-function is different from the Z∗-curve, and some paramount notions. The Section 4 is intended to grasp the importance of the chapters 20-21 of the General Theory, whereas in Section 5 I shall comment, very quickly, some properties of Z∗ in a topological view