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Production decisions based on absolute vs. relative risk aversion and their extensions

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  • Grubbström, Robert W.

Abstract

In this paper we compare the two basic risk preference measures suggested independently by John W. Pratt (1964) and Kenneth J. Arrow (1965) as to their impact on simple production decisions with uncertain economic outcomes. We develop a further related concept by introducing a risk aversion leverage measuring the dependence of absolute risk aversion on wealth.

Suggested Citation

  • Grubbström, Robert W., 2021. "Production decisions based on absolute vs. relative risk aversion and their extensions," International Journal of Production Economics, Elsevier, vol. 234(C).
  • Handle: RePEc:eee:proeco:v:234:y:2021:i:c:s0925527321000128
    DOI: 10.1016/j.ijpe.2021.108036
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    References listed on IDEAS

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    1. Nicholas C. Petruzzi & Maqbool Dada, 1999. "Pricing and the Newsvendor Problem: A Review with Extensions," Operations Research, INFORMS, vol. 47(2), pages 183-194, April.
    2. Tang, Ou & Grubbstrom, Robert W., 2002. "Planning and replanning the master production schedule under demand uncertainty," International Journal of Production Economics, Elsevier, vol. 78(3), pages 323-334, August.
    3. Robert J. Aumann & Roberto Serrano, 2008. "An Economic Index of Riskiness," Journal of Political Economy, University of Chicago Press, vol. 116(5), pages 810-836, October.
    4. Grubbstrom, Robert W. & Tang, Ou, 2000. "Modelling rescheduling activities in a multi-period production-inventory system," International Journal of Production Economics, Elsevier, vol. 68(2), pages 123-135, November.
    5. Borgonovo, E. & Peccati, L., 2009. "Financial management in inventory problems: Risk averse vs risk neutral policies," International Journal of Production Economics, Elsevier, vol. 118(1), pages 233-242, March.
    6. Louis Eeckhoudt & Christian Gollier & Harris Schlesinger, 1995. "The Risk-Averse (and Prudent) Newsboy," Management Science, INFORMS, vol. 41(5), pages 786-794, May.
    7. Stylianos Perrakis & Izzet Sahin, 1976. "On Risky Investments with Random Timing of Cash Returns and Fixed Planning Horizon," Management Science, INFORMS, vol. 22(7), pages 799-809, March.
    8. Ahmed, Shabbir & Cakmak, Ulas & Shapiro, Alexander, 2007. "Coherent risk measures in inventory problems," European Journal of Operational Research, Elsevier, vol. 182(1), pages 226-238, October.
    9. Jevons, William Stanley, 1871. "The Theory of Political Economy," History of Economic Thought Books, McMaster University Archive for the History of Economic Thought, number jevons1871.
    10. Andrew Vazsonyi, 1955. "The Use of Mathematics in Production and Inventory Control--II (Theory of Scheduling)," Management Science, INFORMS, vol. 1(3-4), pages 207-223, 04-07.
    11. Teunter, Ruud H. & Fortuin, Leonard, 1999. "End-of-life service," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 487-497, March.
    12. Bogataj, Marija & Grubbström, Robert W., 2013. "Transportation delays in reverse logistics," International Journal of Production Economics, Elsevier, vol. 143(2), pages 395-402.
    13. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
    14. Robert W. Grubbström & Brian G. Kingsman, 2004. "Ordering and Inventory Policies for Step Changes in the Unit Item Cost: A Discounted Cash Flow Approach," Management Science, INFORMS, vol. 50(2), pages 253-267, February.
    15. Arıkan, Emel & Fichtinger, Johannes, 2017. "The risk-averse newsvendor problem under spectral risk measures: A classification with extensions," European Journal of Operational Research, Elsevier, vol. 256(1), pages 116-125.
    16. Bogataj, Marija & Grubbström, Robert W., 2012. "On the representation of timing for different structures within MRP theory," International Journal of Production Economics, Elsevier, vol. 140(2), pages 749-755.
    17. Schulze, Klaas, 2014. "Existence and computation of the Aumann–Serrano index of riskiness and its extension," Journal of Mathematical Economics, Elsevier, vol. 50(C), pages 219-224.
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