Equilibrium in a Simplified Dynamic, Stochastic Economy with Heterogeneous Agents PDF Download

Author: Ioannis Karatzas
Publisher:
ISBN:
Category : Equilibrium (Economics)
Languages : en
Pages : 26

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Author: Elisabeth Pröhl
Publisher:
ISBN:
Category :
Languages : en
Pages : 108

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Author: Hamilton Galindo Gil
Publisher: Springer Nature
ISBN: 3031581059
Category :
Languages : en
Pages : 473

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Author: Tianli Zhao
Publisher:
ISBN:
Category :
Languages : en
Pages : 96

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Author: Burkhard Heer
Publisher: Springer
ISBN: 9783540801993
Category : Business & Economics
Languages : en
Pages : 540

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Book Description
Modern business cycle theory and growth theory uses stochastic dynamic general equilibrium models. Many mathematical tools are needed to solve these models. The book presents various methods for computing the dynamics of general equilibrium models. In part I, the representative-agent stochastic growth model is solved with the help of value function iteration, linear and linear quadratic approximation methods, parameterised expectations and projection methods. In order to apply these methods, fundamentals from numerical analysis are reviewed in detail. Part II discusses methods for solving heterogeneous-agent economies. In such economies, the distribution of the individual state variables is endogenous. This part of the book also serves as an introduction to the modern theory of distribution economics. Applications include the dynamics of the income distribution over the business cycle or the overlapping-generations model. Through an accompanying home page to this book, computer codes to all applications can be downloaded.

Author: Lawrence A. Boland
Publisher: Oxford University Press
ISBN: 0190274336
Category : Business & Economics
Languages : en
Pages : 289

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Book Description
The purpose and problems for equilibrium models -- Equilibrium models and explanation -- Equilibrium attainment vs. equilibrium necessities -- Does general equilibrium attainment imply universal maximization? -- Time and knowledge matters : general equilibrium attainment -- Equilibrium concepts and critiques : two cultures -- The limits of equilibrium models -- Recognizing knowledge in equilibrium models -- Limits of equilibrium methodology an educational dialogue -- Equilibrium models vs. realistic understanding -- Macroeconomic equilibrium model building and the stability problem -- Equilibrium models intended to overcome limits -- Equilibrium models vs. evolutionary economic models -- Equilibrium models vs. complexity economics -- Building models of price dynamics -- Building models of non-clearing markets -- Building models of learning and the equilibrium process -- Bibliography -- Names index -- Subject index

Author: Eddy Mayer-Wolf
Publisher: Academic Press
ISBN: 1483218708
Category : Mathematics
Languages : en
Pages : 553

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Book Description
Stochastic Analysis: Liber Amicorum for Moshe Zakai focuses on stochastic differential equations, nonlinear filtering, two-parameter martingales, Wiener space analysis, and related topics. The selection first ponders on conformally invariant and reflection positive random fields in two dimensions; real time architectures for the Zakai equation and applications; and quadratic approximation by linear systems controlled from partial observations. Discussions focus on predicted miss, review of basic sequential detection problems, multigrid algorithms for the Zakai equation, invariant test functions and regularity, and reflection positivity. The text then takes a look at a model of stochastic differential equation in Hubert spaces applicable to Navier Stokes equation in dimension 2; wavelets as attractors of random dynamical systems; and Markov properties for certain random fields. The publication examines the anatomy of a low-noise jump filter, nonlinear filtering with small observation noise, and closed form characteristic functions for certain random variables related to Brownian motion. Topics include derivation of characteristic functions for the examples, proof of the theorem, sequential quadratic variation test, asymptotic optimal filters, mean decision time, and asymptotic optimal filters. The selection is a valuable reference for researchers interested in stochastic analysis.

Author: Anmol Bhandari
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
We develop a perturbational technique to approximate equilibria of a wide class of discrete-time dynamic stochastic general equilibrium heterogeneous-agent models with complex state spaces, including multi-dimensional distributions of endogenous variables. We show that approximating policy functions and stochastic process that governs the distributional state to any order is equivalent to solving small systems of linear equations that characterize values of certain directional derivatives. We analytically derive the coefficients of these linear systems and show that they satisfy simple recursive relations, making their numerical implementation quick and efficient. Compared to existing state-of-the-art techniques, our method is faster in constructing first-order approximations and extends to higher orders, capturing the effects of risk that are ignored by many current methods. We illustrate how to apply our method to a broad set of questions such as impacts of first- and second-moment shocks, welfare effect of macroeconomic risk and stabilization policies, endogenous household portfolio formation, and transition dynamics in heterogeneous agent general equilibrium settings.

Author: Alan Sutherland
Publisher:
ISBN:
Category : Economics
Languages : en
Pages : 28

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Author: Felix Kubler
Publisher:
ISBN:
Category :
Languages : en
Pages : 0

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Book Description
In this paper we examine non-parametric restrictions on counterfactual analysis in a simple dynamic stochastic general equilibrium model. Under the assumption of time-separable expected utility and complete markets all equilibria in this model are stationary, the Arrow-Debreu prices uniquely reveal the probabilities and discount factor and the equilibrium correspondence defined as the map from endowments to stationary (probability-free) state prices, is identical to the equilibrium correspondence in a standard Arrow-Debreu exchange economy with additively separable utility. We examine observable restriction on this correspondence and give necessary as well as sufficient conditions on profiles of individual endowments that ensure that associated equilibrium prices cannot be arbitrary. While often there are restrictions on possible price changes we also show that in most cases results from a single agent economy do not carry over to a setting with heterogeneous agents.