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Shadow Price Implications Of Several Stochastic Dominance Criteria

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  • McCamley, Francis P.
  • Rudel, Richard K.

Abstract

Stochastic dominance criteria can be, but seldom are explicitly, applied to problems having continuous variables. A previously developed model is modified to facilitate exploration of sets of shadow price vectors for decreasing (non-increasing) absolute risk aversion stochastic dominance (DSD), a combination, TGSD, of third degree stochastic dominance (TSD) and generalized stochastic dominance (GSD) and a combination, DGSD, of DSD and GSD. The model is illustrated by applying it to two risk efficient (primal) solutions of a problem by Anderson, Dillon and Hardaker. For each of the two primal solutions and, where relevant, three risk aversion coefficient intervals, selected aspects of the sets of shadow price vectors consistent with TSD, DSD, TGSD and DGSD are compared with each other and with sets of shadow price vectors consistent with GSD and second degree stochastic dominance (SSD).

Suggested Citation

  • McCamley, Francis P. & Rudel, Richard K., 2001. "Shadow Price Implications Of Several Stochastic Dominance Criteria," 2001 Annual Meeting, July 8-11, 2001, Logan, Utah 36163, Western Agricultural Economics Association.
  • Handle: RePEc:ags:waealo:36163
    DOI: 10.22004/ag.econ.36163
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    References listed on IDEAS

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    1. McCamley, Francis P. & Rudel, Richard K., 2000. "Shadow Price Implications Of Second Degree Stochastic Dominance Efficiency," 2000 Annual Meeting, June 29-July 1, 2000, Vancouver, British Columbia 36370, Western Agricultural Economics Association.
    2. McCamley, Francis & Kliebenstein, James B., 1986. "Necessary Conditions For Dsd Efficiency Of Mixtures Of Risky Alternatives," 1986 Annual Meeting, July 27-30, Reno, Nevada 278149, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    3. McCamley, F. P. & Kliebenstein, James, 1986. "Necessary Conditions for Generalized Stochastic Dominance Efficiency of Mixtures of Risky Alternatives," Staff General Research Papers Archive 10627, Iowa State University, Department of Economics.
    4. Meyer, Jack, 1977. "Choice among distributions," Journal of Economic Theory, Elsevier, vol. 14(2), pages 326-336, April.
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    6. Anderson, Jock R. & Dillon, John L. & Hardaker, Brian, 1977. "Agricultural Decision Analysis," Monographs: Applied Economics, AgEcon Search, number 288652, November.
    7. Dybvig, Philip H & Ross, Stephen A, 1982. "Portfolio Efficient Sets," Econometrica, Econometric Society, vol. 50(6), pages 1525-1546, November.
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