Modeling aggregate behavior and fluctuations in economics : stochastic views of interacting agents [EBook] / Masanao Aoki.
Modeling aggregate behavior and fluctuations in economics : stochastic views of interacting agents [EBook] / Masanao Aoki.
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...
Personal Name(s):  Aoki, Masanao, (author) 

Imprint: 
Cambridge :
Cambridge University Press,
2002

Physical Description: 
1 online resource (xv, 263 pages) 
Note: 
englisch 
ISBN: 
9780521781268 9780511510649 9780521606196 
Subject (LOC):  
Full Text 
Table of Contents:
 Our Objectives and Approaches
 Partial List of Applications
 States: Vectors of Fractions of Types and Partition Vectors
 Vectors of Fractions
 Partition Vectors
 Jump Markov Processes
 The Master Equation
 Decomposable Random Combinatorial Structures
 Sizes and Limit Behavior of Large Fractions
 Setting Up Dynamic Models
 Two Kinds of State Vectors
 Empirical Distributions
 Exchangeable Random Sequences
 Partition Exchangeability
 Transition Rates
 DetailedBalance Conditions and Stationary Distributions
 The Master Equation
 ContinuousTime Dynamics
 PowerSeries Expansion
 Aggregate Dynamics and FokkerPlanck Equation
 DiscreteTime Dynamics
 Introductory Simple and Simplified Models
 A TwoSector Model of Fluctuations
 Closed Binary Choice Models
 A Polya Distribution Model
 Open Binary Models
 Two Logistic Process Models
 Model 1: The Aggregate Dynamics and Associated Fluctuations
 Model 2: Nonlinear Exit Rate
 A Nonstationary Polya Model
 An Example: A Deterministic Analysis of Nonlinear Effects May Mislead!
 Aggregate Dynamics and Fluctuations of Simple Models
 Dynamics of Binary Choice Models
 Dynamics for the Aggregate Variable
 Potentials
 Critical Points and Hazard Function
 Multiplicity
 An Aspect of Random Combinatorial Features
 Evaluating Alternatives
 Representation of Relative Merits of Alternatives
 Value Functions
 Extreme Distributions and Gibbs Distributions
 Type I: Extreme Distribution.