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Expected Growth Criterion: An Axiomatization

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  • Joshua Lawson

Abstract

I provide necessary and sufficient conditions for an agent's preferences to be represented by a unique ergodic transformation. Put differently, if an agent seeks to maximize the time average growth of their wealth, what axioms must their preferences obey? By answering this, I provide economic theorists a clear view of where "Ergodicity Economics" deviates from established models.

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  • Joshua Lawson, 2022. "Expected Growth Criterion: An Axiomatization," Papers 2212.09617, arXiv.org.
    • Handle: RePEc:arx:papers:2212.09617
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    1. David M. Kreps & Evan L. Porteus, 2013. "Temporal von Neumann—Morgenstern and Induced Preferences," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 11, pages 181-206, World Scientific Publishing Co. Pte. Ltd..
    2. Paul A. Samuelson, 2011. "Why We Should Not Make Mean Log of Wealth Big Though Years to Act Are Long," World Scientific Book Chapters, in: Leonard C MacLean & Edward O Thorp & William T Ziemba (ed.), THE KELLY CAPITAL GROWTH INVESTMENT CRITERION THEORY and PRACTICE, chapter 34, pages 491-493, World Scientific Publishing Co. Pte. Ltd..
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