Insuring uninsurable income

Michiko Ogaku

Papers from arXiv.org

Abstract: We study dynamic mechanism design in a pure-exchange economy with privately observed idiosyncratic income. In the standard infinitely lived hidden-income benchmark of Green (1987) and Thomas-Worrall (1990), constrained-efficient allocations exhibit immiseration. We propose a simple recursive mechanism -- adapted from Marcet-Marimon (1992) -- that shifts each income shock forward by one period, keeps promised utilities in a bounded set, and, under a transparent ``moderate risk-aversion'' condition, delivers sequential efficiency. In a stationary \emph{overlapping-generations} setting, we further show that under additional symmetry and curvature assumptions, a second-order approximation yields a sufficient condition for period-by-period budget balance; early cohorts pre-fund later transfers; for suitable initial promises, all cohorts are better off than under autarky. Our analysis uses a single state (promised utility), closed-form transfers, and a Bellman verification.

Date: 2022-04, Revised 2026-03
New Economics Papers: this item is included in nep-ias
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