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Original Articles

Cooperative Hedging in Incomplete Markets

Pages 475-489 | Received 23 Dec 2003, Accepted 03 Nov 2004, Published online: 15 Feb 2007

REFERENCES

  • Aubin , J.-P. 1993 . Optima and Equilibria . Berlin , Heidelberg : Springer .
  • Bondareva , O. N. 1963 . Some applications of linear programming methods to the theory of cooperative games . Problemy Kibernet . 10 : 119 – 139 ( in Russian ).
  • Browne , S. 1999 . Reaching goals by a deadline: Digital options and continuous time active portfolio management . Adv. Appl. Prob. 31 : 551 – 577 . [CSA] [CROSSREF]
  • Cvitanić , J. 2001 . Minimizing expected loss of hedging in incomplete and constrained markets . SIAM J. Cont. Opt. 38 : 1050 – 1066 . [CSA]
  • Cvitanić , J. , and I. Karatzas . 1999 . On dynamic measures of risk . Finance Stoch. 3 : 451 – 482 . [CSA] [CROSSREF]
  • Cvitanić , J. , and I. Karatzas . 2001 . Generalized Neyman-Pearson lemma via convex duality . Bernoulli. 7 : 79 – 97 . [CSA]
  • Delbaen , F. , and W. Schachermayer . 1994 . A general version of the fundamental theorem of asset pricing . Math. Annalen. 300 : 463 – 520 . [CSA] [CROSSREF]
  • Delbaen , F. , and W. Schachermayer . 1998 . The fundamental theorem of asset pricing for unbounded stochastic processes . Math. Annalen. 312 : 215 – 250 . [CSA] [CROSSREF]
  • El Karoui , N. , and M. C. Quenez . 1995 . Dynamic programming and pricing of contingent claims in an incomplete market . SIAM J. Cont. Opt. 33 : 29 – 66 . [CSA] [CROSSREF]
  • Föllmer , H. , and Y. M. Kabanov . 1998 . Optional decomposition theorem and Lagrange multipliers . Finance Stoch. 2 : 69 – 81 . [CSA]
  • Föllmer , H. , and P. Leukert . 1999. Quantile hedging. Finance Stoch. 3: 251–273. [CSA] [CROSSREF]
  • Föllmer , H. , and P. Leukert . 2000 . Efficient hedging: Cost versus shortfall risk . Finance Stoch. 4 : 117 – 146 . [CSA] [CROSSREF]
  • Heath , D. 1993 . A continuous-time version of Kulldorff's result . Unpublished manuscript .
  • Jonsson , M. , and K. R. Sircar . 2002 . Partial hedging in a stochastic volatility enviroment . Math. Finance. 12 : 375 – 409 . [CSA] [CROSSREF]
  • Karatzas , I. 1997 . Lectures on the Mathematics of Finance . Providence , RI : Amer. Math. Soc.
  • Kirch , M. 2002 . Efficient hedging in incomplete markets under model uncertainty . Preprint .
  • Kramkov , D. O. 1996 . Optional decomposition of supermartingales and hedging contingent claims in incomplete security markets . Prob. Theory Related Fields. 105 : 459 – 479 . [CSA]
  • Kramkov , D. , and W. Schachermayer . 1999 . The asymptotic elasticity of utility functions and optimal investment in incomplete markets . Ann. Appl. Prob. 9 : 904 – 950 . [CSA] [CROSSREF]
  • Kulldorff , M. 1993 . Optimal control of a favorable game with a time limit . SIAM J. Cont. Opt. 31 : 52 – 69 . [CSA] [CROSSREF]
  • Myerson , R. B. 1991 . Game Theory . Cambridge , MA : Harvard University Press .
  • Owen , G. 1995 . Game Theory . 3rd ed . San Diego , CA : Academic Press .
  • Shapley , L. S. 1967 . On balanced sets and cores . Naval Research Logistics Quarterly 14 : 453 – 460 . [CSA]
  • Spivak , G. , and J. Cvitanić . 1999 . Maximizing the probability of a perfect hedge . Ann. Appl. Prob. 9 : 1303 – 1328 . [CSA] [CROSSREF]
  • Xia , J. 2004 . Multi-agent investment in incomplete markets . Finance Stoch. 8 : 241 – 259 . [CSA] [CROSSREF]
  • Xia , J. , and J. A. Yan . 2003 . A new look at some basic concepts in arbitrage pricing theory . Science in China (Ser. A) 46 : 464 – 474 . [CSA]
  • Yan , J. A. 1998 . A new look at the fundamental theorem of asset pricing . J. Korean Math. Soc. 35 : 659 – 673 . [CSA]

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