Mean-deviation analysis, along with the existing theories of coherent risk measures and dual utility, is examined in the context of the theory of choice under uncertainty, which studies rational preference relations for random outcomes based on different sets of axioms such as transitivity, monotonicity, continuity, etc. An axiomatic foundation of the theory of coherent risk measures is obtaine...

In [arXiv:1006.4939] the enumeration order reducibility is defined on natural numbers. For a c.e. set A, [A] denoted the class of all subsets of natural numbers which are co-order with A. In definition 5 we redefine co-ordering for rational numbers. One of the main questions there, was:"For a specific c.e. set A, consider set of all enumerations of it which is generated by some Turing machine {...

Economic theories of rational addiction aim to describe consumer behavior in the presence of habit-forming goods. We provide a biological foundation for this body of work by formally specifying conditions under which it is optimal to form a habit. We demonstrate the empirical validity of our thesis with an in-depth review and synthesis of the biomedical literature concerning the action of opiat...

Rational partisan theory’s exclusive focus on electoral uncertainty ignores the importance of policy uncertainty for the economy. I develop a theory of policy risk to account for this uncertainty. Using an innovative measure of electoral probabilities based on Iowa Electronic Markets futures data for the United States from 1988 to 2000, I test both theories. As predicted by rational partisan th...

We study topological defect lines in two character rational conformal field theories. Among them one set of theories are commutant pairs $E_{8,1}$ theory. Using these we construct partition function the $E_8$ find that defects preserve only a part current algebra symmetry. also determine $c=24$ CFTs using 2 and that, with appropriate choice pairs, all symmetries c = 24 CFTs.

94 Motivation There are many reasons for researchers and developers to be interested in creating computational models of, and agent architectures inspired from, affective phenomena. Affective phenomena include core affect, mood, emotion, as well as personality. This chapter discusses useful terminology and specific theories of affective phenomena and introduces some of the main motivations for ...

Greenlees defined an abelian category A whose derived category is equivalent to the rational S1-equivariant stable homotopy category whose objects represent rational S1equivariant cohomology theories. We show that in fact the model category of differential graded objects in A models the whole rational S1-equivariant stable homotopy theory. That is, we show that there is a Quillen equivalence be...

We argue that one can understand the relationship between critical free-energy densities of theories connected via non-perturbative renormalization group flows, in terms of the the number of fields coupled to the class of different theories which flow into the same stationary renormalization group trajectory. As an explicit example, we study the free-energy density of bosonic and fermionic theo...