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Related Experiment Video

Updated: Jan 21, 2026

Author Spotlight: Exploring the Long-Term Health Impacts of Intracytoplasmic Sperm Injection on Offspring

Author Spotlight: Exploring the Long-Term Health Impacts of Intracytoplasmic Sperm Injection on Offspring

Published on: May 17, 2024

Intergenerational resource transfers with random offspring numbers.

Kenneth J Arrow¹, Simon A Levin

¹Department of Economics, Stanford University, Stanford, CA 94305-6072, USA.

Proceedings of the National Academy of Sciences of the United States of America

|July 21, 2009

Summary

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Genomic MRI - a Public Resource for Studying Sequence Patterns within Genomic DNA

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Published on: May 9, 2011

Area of Science:

Interdisciplinary research bridging biology and economics.
Focus on resource allocation and intergenerational transfers.

Background:

Parental resource allocation to offspring is a fundamental biological and economic process.
Previous models often assumed a known number of offspring.

Purpose of the Study:

To model parental resource allocation when the number of offspring is uncertain.
To analyze the impact of uncertainty on consumption and investment decisions.

Main Methods:

Developed a theoretical framework based on three core assumptions:
1. Resources are allocated between parental consumption and child transfers.
2. Parental welfare incorporates a recursively discounted concern for offspring welfare.
3. Transferred resources are subject to productive investment (growth or decline).

Main Results:

Derived precise formulas for resource allocation under uncertainty.
Demonstrated that uncertainty about offspring number can influence the balance between parental consumption and investment.
Wealth distribution is predicted to follow a log-normal pattern.

Conclusions:

Parental resource allocation decisions are sensitive to the uncertainty of offspring numbers.
The study provides a framework for understanding intergenerational resource transfers in dynamic environments.
Economic implications include potential shifts in consumption patterns and wealth distribution.