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Least-Squares Prices of Games

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  • Yukio Hirashita

Abstract

What are the prices of random variables? In this paper, we define the least-squares prices of coin-flipping games, which are proved to be minimal, positive linear, and arbitrage-free. These prices depend both on a set of games that are available for investing simultaneously and on a risk-free interest rate. In addition, we show a case where the mean-variance portfolio theory is inappropriate.

Suggested Citation

  • Yukio Hirashita, 2007. "Least-Squares Prices of Games," Papers math/0703079, arXiv.org, revised Apr 2008.
  • Handle: RePEc:arx:papers:math/0703079
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    File URL: http://arxiv.org/pdf/math/0703079
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