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Decision Theory and Stochastic Growth

Author

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  • Steiner, Jakub
  • Robson, Arthur
  • Samuelson, Larry

Abstract

This paper examines connections between stochastic growth and decision problems. We use tools from the theory of large deviations to show that wishful thinking decision problems are equivalent to utility maximization problems, both of which are equivalent to growth maximization under idiosyncratic risk. Rational inattention problems are equivalent to growth-optimal portfolio problems, both of which are equivalent to growth maximization under aggregate risk. Stochastic growth generates extreme inequality, with nearly all wealth eventually held by those who happen to have faced an empirical distribution of shocks that matches the solution to the wishful thinking or rational inattention problem.

Suggested Citation

  • Steiner, Jakub & Robson, Arthur & Samuelson, Larry, 2022. "Decision Theory and Stochastic Growth," CEPR Discussion Papers 17541, C.E.P.R. Discussion Papers.
  • Handle: RePEc:cpr:ceprdp:17541
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    JEL classification:

    • D8 - Microeconomics - - Information, Knowledge, and Uncertainty
    • D9 - Microeconomics - - Micro-Based Behavioral Economics
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • N1 - Economic History - - Macroeconomics and Monetary Economics; Industrial Structure; Growth; Fluctuations

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