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New approaches to macroeconomic modeling : evolutionary stochastic dynamics, multiple equilibria, and externalities as field effects
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ISBN: 0521482070 0521637694 0511664672 0511887620 9780521482073 9780521637695 9780511664670 Year: 1996 Publisher: Cambridge : Cambridge university press,

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Abstract

This book contributes substantively to state-of-the-art macroeconomic modeling by providing a method for modeling large collections of heterogeneous agents subject to non-pairwise externality called field effects, i.e. feedback of aggregate effects on individual agents or agents using state-dependent strategies. Adopting a level of microeconomic description which keeps track of compositions of fractions of agents by 'types' or 'strategies', time evolution of the microeconomic states is described by (backward) Chapman-Kolmogorov equations. Macroeconomic dynamics naturally arise by expansion of the solution in some power series of the number of participants. Specification of the microeconomic transition rates thus leads to macroeconomic dynamic models. This approach provides a consistent way for dealing with multiple equilibria of macroeconomic dynamics by ergodic decomposition and associated calculations of mean first passage times, and stationary probabilities of equilibria further provide useful information on macroeconomic behavior.

Theory of probability : a critical introductory treatment
Authors: --- ---
ISBN: 0471201413 0471201421 9780471201410 9780471201427 Year: 1975 Publisher: London: Wiley,

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