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A Representative Trader Economy

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Abstract

To characterize the equilibrium and to facilitate existence proofs, this chapter introduces the notion of a representative trader. A representative trader is a hypothetical individual whose trades, in a sense to be made precise below, reflect the aggregate trades of all individuals in the economy. A representative trader is defined by her beliefs, utility function, and endowments.

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References

  1. K. Back, Asset Pricing and Portfolio Choice Theory (Oxford University Press, Oxford, 2010)

    Book  Google Scholar 

  2. S. Basak, D. Cuoco, An equilibrium model with restricted stock market participation. Rev. Financ. Stud. 11(2), 309–341 (1998)

    Article  Google Scholar 

  3. J. Choi, K. Larsen, Taylor Approximation of incomplete Radner equilibrium models. Finance Stoch. 19, 653–679 (2015)

    Article  MathSciNet  Google Scholar 

  4. P. Christensen, K. Larsen, Incomplete continuous time securities markets with stochastic income volatility. Rev. Asset Pric. Stud. 4(2), 247–285 (2014)

    Article  Google Scholar 

  5. C. Cuoco, H. He, Dynamic equilibrium in infinite-dimensional economies with incomplete financial markets. Working paper, Wharton (1994)

    Google Scholar 

  6. R. Dana, M. Jeanblanc, Financial Markets in Continuous Time (Springer, Berlin, 2003)

    Google Scholar 

  7. D. Duffie, Dynamic Asset Pricing Theory, 3rd edn. (Princeton University Press, Princeton, NJ, 2001)

    Google Scholar 

  8. C. Huang, R. Litzenberger, Foundations for Financial Economics. Classic Textbook (North-Holland, New York, 1988)

    Google Scholar 

  9. J. Hugonnier, Rational asset pricing bubbles and portfolio constraints. J. Econ. Theory 147, 2260–2302 (2012)

    Article  MathSciNet  Google Scholar 

  10. R. Jarrow, An equilibrium capital asset pricing model in markets with price jumps and price bubbles. Q. J. Finance (2017, forthcoming)

    Google Scholar 

  11. I. Karatzas and S. Shreve, Methods of Mathematical Finance (Springer, Berlin, 1999)

    Google Scholar 

  12. C. Kardaras, H. Xing, G. Zitkovic, Incomplete stochastic equilibria with exponential utilities close to Pareto optimality. SSRN (2015)

    Google Scholar 

  13. D. Kramkov, Existence of an endogenously complete equilibrium driven by a diffusion. Finance Stoch. 19, 1–22 (2015)

    Article  MathSciNet  Google Scholar 

  14. K. Larsen, Continuous equilibria with heterogeneous preferences and unspanned endowments. Working paper, Carnegie Mellon University (2009)

    Google Scholar 

  15. K. Larsen, T. Sae-Sue, Radner equilibrium in incomplete Levy models. Working paper, Carnegie Mellon University (2016)

    MATH  Google Scholar 

  16. H. Pham, Continuous time Stochastic Control and Optimization with Financial Applications (Springer, Berlin, 2009)

    Book  Google Scholar 

  17. A. Ruszczynski, Nonlinear Optimization (Princeton University Press, Princeton, NJ, 2006)

    MATH  Google Scholar 

  18. G. Zitkovic, Financial equilibria in the semimartingale setting: complete markets and markets with withdrawal constraints. Finance Stoch. 10, 99–119 (2006)

    Article  MathSciNet  Google Scholar 

  19. G. Zitkovic, An example of a stochastic equilibrium with incomplete markets. Finance Stoch. 16, 177–206 (2012)

    Article  MathSciNet  Google Scholar 

Download references

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Jarrow, R.A. (2018). A Representative Trader Economy. In: Continuous-Time Asset Pricing Theory. Springer Finance(). Springer, Cham. https://doi.org/10.1007/978-3-319-77821-1_14

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