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Modeling Aggregate Behavior and Fluctuations in Economics

Stochastic Views of Interacting Agents

Modeling Aggregate Behavior and Fluctuations in Economics by Masanao Aoki
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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.
Cambridge University Press; December 2001
281 pages; ISBN 9780511030741
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Title: Modeling Aggregate Behavior and Fluctuations in Economics
Author: Masanao Aoki
 
ISBNs
0511030746
9780511030741
9780521781268