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Heterogeneous agent models
Vošvrda, Miloslav ; Vácha, Lukáš
The Efficient Markets Hypothesis provides a theoretical basis for trading rules. Fundamentalists rely on their model employing fundamental information basis to forecasting of the next price period. The traders determine whether current conditions call for the acquisition of fundamental information in a forward looking manners, rather than relying on past performance.
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Stochastic optimization problems and dependent data
Kaňková, Vlasta
It is well-known that empirical estimates are usually employed when it is necessary to solve a stochastic decision problem depending on a completely unknown probability measure. The aim of this paper is to recall and summarize some rather new results achieved for dependent data that correspond rather often to economic activities.
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Extended Kalecki-Kaldor model revisited
Kodera, Jan ; Sladký, Karel ; Vošvrda, Miloslav
This contribution is devoted to an extended Kalecki-Kaldor model. Differential equations for the development of the real product (output) and capital stock of the economy are formulated for a given value of the inflation rate. A dynamical model of money market is considered either the LM model or the Fisherian model. Stability and robustness are analysed for the complete model.
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Heterogeneous agent model with memory and asset price behaviour
Vošvrda, Miloslav ; Vácha, Lukáš
The Efficient Markets Hypothesis provides a theoretical basis on which technical trading rules are rejected as a viable trading strategy. Technical trading rules, providing a signal of when to buy or sell asset based on such price patterns to the user, should not be useful for generating excess returns. Technical traders and chartists tend to put little faith in strict efficient markets.
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Bifurcation routes and heterogenous formation
Vošvrda, Miloslav
The heterogenity of expectation among trades introduces an important nonlinearity in to the financial markets. Heteregenous formation asset prices are characterized by phases of close to the fundamental price fluctuations. In this paper is discussed a position of fundamentals and their influence to the economic stability.
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Open Leontief model with alternative choice of input-output matrices
Sladký, Karel
We consider an open Leontief (input-output) model such that the input-output matrix can be selected by a decision maker from a given finite set A of nonnegative matrices fulfilling the "product property." We present algorithmic procedures for testing if the set A contains feasible solutions (i.e. if A contains a matrix having the spectral radius less than unity), and for finding feasible solutions of the considered open Leontief (input-output) model.
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Bifurcation routes in financial markets
Vošvrda, Miloslav
The heterogeneity of expectations among traders introduces an important non-linearity into the financial markets. In a series of papers, Brock and Hommes, propose to model economic and financial markets as adaptive belief systems. Asset price fluctuations in adaptive belief systems are characterized by phases of close-to-the-fundamental-price fluctuations, phases of optimism where most agents follow an upward price trend, and phases of pessimism with small or large market crashes.
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Multiobjective stochastic programming and empirical data
Kaňková, Vlasta
We consider a mutiobjective optimization problem depending on a probability measure and, moreover, we assume that the problem must be solved on the basis of emipirical data. Estimates of the corresponding characteristics, as e.g. the "efficient" points, can be only obtained by this approach. Our aim is to investigate statistical properties of these "estimates".
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