We present an agent-based model of a minimal economy containing households, retail banks, and producers of consumer and capital goods. Household behavior is based on the buffer-stock savings model by Deaton (1961), while the profit-maximizing firms employ reinforcement learning to determine pricing and production. Competitive retail banks facilitate the flow of funds between households and prod...

We present an agent-based model of a minimal economy containing households, retail banks, and producers of consumer and capital goods. Household behavior is based on the buffer-stock savings model by Deaton (1961), while the profit-maximizing firms employ reinforcement learning to determine pricing and production. Competitive retail banks facilitate the flow of funds between households and prod...

We treat the complex harmonic function on the Np–ball which is defined by the Np–norm related to the Lie norm. As a subspace, we treat Hardy spaces and consider the Bergman kernel on those spaces. Then, we try to construct the Bergman kernel in a concrete form in 2–dimensional Euclidean space. Introduction. In [2], [4], [6] and [7], we studied holomorphic functions and analytic functionals on t...

in this paper, a new identification of the lagrange multipliers by means of the sumudu transform, is employed to  btain a quick and accurate solution to the fractional black-scholes equation with the initial condition for a european option pricing problem. undoubtedly this model is the most well known model for pricing financial derivatives. the fractional derivatives is described in caputo sen...

in this paper, the researchers present a multi-objective linear fractional inventory model using fuzzy pro-gramming. the proposed method in this paper is applied to a problem with two objective functions. the re-sulted fuzzy model is transformed into an ordinary linear programming. the implementation of the develop-ing model presented in this paper is demonstrated through the use of some numeri...

Let D be a bounded domain in C". The invariant distance in D is given by I I v I \ is l \\ '/2\ l/2 Kp(z,i)K„(w,w) It is shown that one half of the length of a piecewise C1 curve y: [a, b] -* D with respect to the Bergman metric is equal to the length of y measured by pD, which implies that the associated inner distance p*D coincides (up to the factor {) with the Bergman-distance. Also it was p...

A mathematical model of the changes in plasma glucose and insulin concentrations during mild-tomoderate physiological exercise was developed for type 1 diabetic patients. From a metabolic prospective, the significant metabolic changes in the body induced by exercise are: increased glucose uptake rate by the working tissues; increased hepatic glucose production to maintain overall glucose homeos...

A procedure is presented that synthesizes fractional crystallization separation processes to obtain pure solids from multi-component solutions. The method includes a procedure to generate a network flow model to identify alternative process designs for fractional crystallization. The main advantage of this systematic procedure with respect to other reported procedures is using non-equilibri...