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Original Articles

Fuzzy measures and asset prices: accounting for information ambiguity

Pages 135-149 | Published online: 14 Oct 2010

References

  • Avellaneda , M. , Levy , A. and Paràs , A. 1995 . Pricing and hedging derivative securities in markets with uncertain volatilities . Applied Mathematical Finance , 2 : 73 – 88 .
  • Avellaneda , M. and Paràs , A. 1996 . Managing the volatility risk of portfolios of derivative securities: the Lagrangian uncertain volatility model . Applied Mathematical Finance , 3 : 21 – 52 .
  • Camerer , C. and Weber , M. 1992 . Recent developments in modeling preferences: uncertainty and ambiguity . Journal of Risk and Uncertainty , 5 : 325 – 370 .
  • Choquet , G. 1954 . Theory of capacities . nnales de l'Institut Fourier, Grenoble , 5 : 131 – 295 .
  • Dempster , A. P. 1967 . Upper and lower probabilities induced by a multivated mapping . Annals of Mathematical Statistics , 38 : 325 – 339 .
  • Dow , J. and Werlang , S. R. C. 1992a . Excess volatility of stock prices and Knightian uncertainty . European Economic Review , 36 : 631 – 638 .
  • Dow , J. and Werlang , S. R. C. 1992b . Uncertainty aversion, risk aversion, and the optimal choice of portfolio . Econometrica , 60 ( 1 ) : 197 – 204 .
  • Ellsberg , D. 1961 . Risk, ambiguity and the Savage axioms . Quarterly Journal of Economics , 75 : 643 – 669 .
  • Epstein , L. G. and Melino , A. 1994 . An empirical analysis of asset returns under ‘non-Bayesian rational expectations , University of Toronto . unpublished manuscript
  • Epstein , L. G. and Wang , T. 1994 . Uncertainty, risk-neutral measures and security price booms and crashes , working paper no. 9410 University of Toronto .
  • Epstein , L. G. and Wang , T. 1994b . Intertemporal asset pricing under Knightian uncertainty . Econometrica , 62 ( 3 ) : 283 – 322 .
  • Föllmer , H. and Schweizer , M. 1991 . “ Hedging of contingent claims under incomplete information ” . In Applied Stochastic Analysis , Edited by: Davis , M. H. A. and Elliott , R. J. 389 – 414 . New York : Gordon and Breach .
  • Gilboa , I. 1987 . Expected utility with purely subjective non-additive probabilities . Journal of Mathematical Economics , 16 : 65 – 88 .
  • Gilboa , I. 1989 . “ Duality in non-additive expected utility theory ” . In Choice under Uncertainty, Annals of Operations Research , Edited by: Fishburn , P. and LaValle , I. H. 405 – 414 . Basel : J.C. Baltzer A. G .
  • Gilboa , I. and Schmeidler , D. 1989 . Maxmin expected utility with non-unique prior . Journal of Mathematical Economics , 16 : 141 – 153 .
  • Hofmann , N. , Platen , E. and Schweizer , M. 1992 . Option pricing under incompleteness and stochastic volatility . Mathematical Finance , 2 ( 3 ) : 153 – 187 .
  • Hu , J. 1993 . “ Excess return, excess volatility, and negative autocorrelation caused by uncertainty aversion and risk aversion ” . In Federal Reserve of Atlanta , working paper series, 93-16
  • Hu , J. 1994 . “ Market breakdowns and price crashes explained by information ambiguity ” . In Federal Reserve of Atlanta , working paper series, 94-13
  • Jouiny , E. and Kallal , H. 1995a . Arbitrage in securities markets with short scale constraints . Mathematical Finance , 5 ( 3 ) : 197 – 232 .
  • Jouiny , E. and Kallal , H. 1995b . Martingales and arbitrage in securities markets with transaction costs . Journal of Economic Theory , 66 : 178 – 197 .
  • Karni , E. and Schmeidler , D. 1990 . “ Utility theory with uncertainty ” . In Handbook of Mathematical Economics , Edited by: Hildebrand , W. and Sonnenshein , H. vol 4 , 1763 – 1831 . Amsterdam : North Holland .
  • Keynes , J. M. 1921 . A Treatise on Probability , London : Macmillan .
  • Klir , G. J. and Folger , T. A. 1988 . Fuzzy Sets, Uncertainty, and Information , Englewood Cliffs, New Jersey : Prentice-Hall .
  • Knight , F. H. 1921 . Risk, Uncertainty, and Profit , New York : Houghton Mifflin .
  • Lyons , T. J. 1995 . Uncertain volatilities and the risk free synthesis of derivatives . Applied Mathematical Finance , 2 : 117 – 133 .
  • Quiggin , J. 1982 . A theory of anticipated utility . Journal of Economic Behavior and Organization , 3 : 323 – 343 .
  • Sarin , R. and Wakker , P. 1992 . A simple axiomatization of nonadditive expected utility . Econometrica , 60 ( 6 ) : 1255 – 1272 .
  • Savage , L. J. 1954 . The Foundations of Statistics , Dover Editions , New York : John Wiley and Sons . 2nd edition 1972
  • Schmeidler , D. 1982 . Subjective probability without additivity , Foerder Institute for Economic Research . working paper
  • Schmeidler , D. 1986 . Integral representation without additivity . Proceedings of the American Mathematical Society , 97 : 255 – 261 .
  • Schmeidler , D. 1989 . Subjective probability and expected utility without additivity . Econometrica , 57 ( 3 ) : 571 – 587 .
  • Wang , Z. and Klir , G. J. 1992 . Fuzzy Measure Theory , New York : Plenum Press .
  • Yaari , M. E. 1987 . The dual theory of choice under risk . Econometrica , 55 ( 1 ) : 95 – 115 .
  • Yoo , K. R. 1990 . A theory of the underpricing of initial public offerings , Northwestern University . mimeo

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