Two Equations on the Pareto-Efficient Sharing of Real GDP Risk

Eagle, David M. and Christensen, Lars (2012): Two Equations on the Pareto-Efficient Sharing of Real GDP Risk.

Abstract

For a pure-exchange, closed economy without storage, Eagle and Domian (2005) and Koenig (2011) derive similar but different equations of Pareto-efficient risk sharing. We confirm that both equations are correct. We also generalize and reinterpret Koenig’s equation. We find that Koenig’s equation as the superior one when we use the harmonic mean to compute average relative risk aversion. Our reinterpretation of Koenig’s generalized equation is that Pareto efficiency requires that the consumption of an individual with average relative risk should be proportional to the real GDP.

• Item Type: MPRA Paper
• Language: English
• Keywords: risk sharing, Pareto efficiency, nominal GDP targeting, quasi-real indexing, inflation indexing
• Subjects: E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles > E31 - Price Level ; Inflation ; Deflation; E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E52 - Monetary Policy; D - Microeconomics > D6 - Welfare Economics > D60 - General

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