A convergence model with wealth accumulation subject to i.i.d. random shocks is examined. The transfer function shows what k_{t+1} - wealth at t+1 - would be, given k_t, with no shock: It has a positive slope, but its concavity/convexity is indeterminate. The stationary distribution of wealth satisfies a Fredholm integral equation. This distribution can be examined by direct analysis of the wealth-accumulation stochastic process and via the Fredholm equation. The analysis resembles some econometric theory of time series. Economic theory forces consideration of a broad range of cases, including some which violate B-convergence. "Twin peaks" in the stationary distribution cannot be excluded.
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Paper provided by Economics Group, Nuffield College, University of Oxford in its series Economics Papers with number
2002-W6.
Find related papers by JEL classification: D3 - Microeconomics - - Distribution E1 - Macroeconomics and Monetary Economics - - General Aggregative Models
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References listed on IDEAS Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
Barro, Robert J & Sala-i-Martin, Xavier, 1992.
"Convergence,"
Journal of Political Economy,
University of Chicago Press, vol. 100(2), pages 223-51, April.
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