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Modeling aggregate behavior and fluctuations in economics : = stochastic views of interacting agents /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Modeling aggregate behavior and fluctuations in economics :/ Masanao Aoki.
其他題名:	stochastic views of interacting agents /
其他題名:	Modeling Aggregate Behavior & Fluctuations in Economics
作者:	Aoki, Masanao,
面頁冊數:	1 online resource (xv, 263 pages) :digital, PDF file(s). :
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Demand (Economic theory) - Mathematical models. -
電子資源:	https://doi.org/10.1017/CBO9780511510649
ISBN:	9780511510649 (ebook)

Modeling aggregate behavior and fluctuations in economics : = stochastic views of interacting agents /
Aoki, Masanao,

Modeling aggregate behavior and fluctuations in economics :stochastic views of interacting agents /Modeling Aggregate Behavior & Fluctuations in EconomicsMasanao Aoki. - 1 online resource (xv, 263 pages) :digital, PDF file(s).

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Our Objectives and Approaches --

This book has two components: stochastic dynamics and stochastic random combinatorial analysis. The first discusses evolving patterns of interactions of a large but finite number of agents of several types. Changes of agent types or their choices or decisions over time are formulated as jump Markov processes with suitably specified transition rates: optimisations by agents make these rates generally endogenous. Probabilistic equilibrium selection rules are also discussed, together with the distributions of relative sizes of the bases of attraction. As the number of agents approaches infinity, we recover deterministic macroeconomic relations of more conventional economic models. The second component analyses how agents form clusters of various sizes. This has applications for discussing sizes or shares of markets by various agents which involve some combinatorial analysis patterned after the population genetics literature. These are shown to be relevant to distributions of returns to assets, volatility of returns, and power laws.

ISBN: 9780511510649 (ebook)Subjects--Topical Terms:

1447070
Demand (Economic theory)
--Mathematical models.

LC Class. No.: HB842 / .A57 2002

Dewey Class. No.: 338.5/212

Modeling aggregate behavior and fluctuations in economics : = stochastic views of interacting agents /
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
505 0 0 $t Our Objectives and Approaches -- $t Partial List of Applications -- $t States: Vectors of Fractions of Types and Partition Vectors -- $t Vectors of Fractions -- $t Partition Vectors -- $t Jump Markov Processes -- $t The Master Equation -- $t Decomposable Random Combinatorial Structures -- $t Sizes and Limit Behavior of Large Fractions -- $t Setting Up Dynamic Models -- $t Two Kinds of State Vectors -- $t Empirical Distributions -- $t Exchangeable Random Sequences -- $t Partition Exchangeability -- $t Transition Rates -- $t Detailed-Balance Conditions and Stationary Distributions -- $t The Master Equation -- $t Continuous-Time Dynamics -- $t Power-Series Expansion -- $t Aggregate Dynamics and Fokker-Planck Equation -- $t Discrete-Time Dynamics -- $t Introductory Simple and Simplified Models -- $t A Two-Sector Model of Fluctuations -- $t Closed Binary Choice Models -- $t A Polya Distribution Model -- $t Open Binary Models -- $t Two Logistic Process Models -- $t Model 1: The Aggregate Dynamics and Associated Fluctuations -- $t Model 2: Nonlinear Exit Rate -- $t A Nonstationary Polya Model -- $t An Example: A Deterministic Analysis of Nonlinear Effects May Mislead! -- $t Aggregate Dynamics and Fluctuations of Simple Models -- $t Dynamics of Binary Choice Models -- $t Dynamics for the Aggregate Variable -- $t Potentials -- $t Critical Points and Hazard Function -- $t Multiplicity--An Aspect of Random Combinatorial Features -- $t Evaluating Alternatives -- $t Representation of Relative Merits of Alternatives -- $t Value Functions -- $t Extreme Distributions and Gibbs Distributions -- $t Type I: Extreme Distribution.
520 $a This book has two components: stochastic dynamics and stochastic random combinatorial analysis. The first discusses evolving patterns of interactions of a large but finite number of agents of several types. Changes of agent types or their choices or decisions over time are formulated as jump Markov processes with suitably specified transition rates: optimisations by agents make these rates generally endogenous. Probabilistic equilibrium selection rules are also discussed, together with the distributions of relative sizes of the bases of attraction. As the number of agents approaches infinity, we recover deterministic macroeconomic relations of more conventional economic models. The second component analyses how agents form clusters of various sizes. This has applications for discussing sizes or shares of markets by various agents which involve some combinatorial analysis patterned after the population genetics literature. These are shown to be relevant to distributions of returns to assets, volatility of returns, and power laws.
650 0 $a Demand (Economic theory) $x Mathematical models. $3 1447070
650 0 $a Supply and demand $x Mathematical models. $3 1447071
650 0 $a Consumption (Economics) $x Mathematical models. $3 669669
650 0 $a Business cycles $x Mathematical models. $3 565218
650 0 $a Statics and dynamics (Social sciences) $x Mathematical models. $3 809495
650 0 $a Stochastic processes $x Mathematical models. $3 577666
776 0 8 $i Print version: $z 9780521781268
856 4 0 $u https://doi.org/10.1017/CBO9780511510649