IDEAS home Printed from https://ideas.repec.org/a/eee/proeco/v234y2021ics0925527321000128.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0925527321000128
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.ijpe.2021.108036?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. Teunter, Ruud H. & Fortuin, Leonard, 1999. "End-of-life service," International Journal of Production Economics, Elsevier, vol. 59(1-3), pages 487-497, March.
    6. Bogataj, Marija & Grubbström, Robert W., 2013. "Transportation delays in reverse logistics," International Journal of Production Economics, Elsevier, vol. 143(2), pages 395-402.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. Louis Eeckhoudt & Christian Gollier & Harris Schlesinger, 1995. "The Risk-Averse (and Prudent) Newsboy," Management Science, INFORMS, vol. 41(5), pages 786-794, May.
    13. 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.
    14. 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.
    15. 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.
    16. Rothschild, Michael & Stiglitz, Joseph E., 1971. "Increasing risk II: Its economic consequences," Journal of Economic Theory, Elsevier, vol. 3(1), pages 66-84, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Bogataj, David & Bogataj, Marija & Hudoklin, Domen, 2017. "Reprint of “Mitigating risks of perishable products in the cyber-physical systems based on the extended MRP model”," International Journal of Production Economics, Elsevier, vol. 194(C), pages 113-125.
    2. Bogataj, David & Bogataj, Marija & Hudoklin, Domen, 2017. "Mitigating risks of perishable products in the cyber-physical systems based on the extended MRP model," International Journal of Production Economics, Elsevier, vol. 193(C), pages 51-62.
    3. Poormoaied, Saeed & Atan, Zümbül, 2020. "A multi-attribute utility theory approach to ordering policy for perishable items," International Journal of Production Economics, Elsevier, vol. 225(C).
    4. Youhua (Frank) Chen & Minghui Xu & Zhe George Zhang, 2009. "Technical Note---A Risk-Averse Newsvendor Model Under the CVaR Criterion," Operations Research, INFORMS, vol. 57(4), pages 1040-1044, August.
    5. Grubbström, Robert W., 2019. "The dependence of the incremental risk rate of interest on absolute risk aversion - Applying the Laplace transform to risk preference evaluation," International Journal of Production Economics, Elsevier, vol. 212(C), pages 51-59.
    6. Rubio-Herrero, Javier & Baykal-Gürsoy, Melike, 2020. "Mean-variance analysis of the newsvendor problem with price-dependent, isoelastic demand," European Journal of Operational Research, Elsevier, vol. 283(3), pages 942-953.
    7. Grubbström, Robert W., 2010. "The Newsboy problem when customer demand is a compound renewal process," European Journal of Operational Research, Elsevier, vol. 203(1), pages 134-142, May.
    8. Bogataj, D. & Aver, B. & Bogataj, M., 2016. "Supply chain risk at simultaneous robust perturbations," International Journal of Production Economics, Elsevier, vol. 181(PA), pages 68-78.
    9. Wu, Jun & Wang, Shouyang & Chao, Xiuli & Ng, C.T. & Cheng, T.C.E., 2010. "Impact of risk aversion on optimal decisions in supply contracts," International Journal of Production Economics, Elsevier, vol. 128(2), pages 569-576, December.
    10. Andrew Butters, R., 2019. "On demand uncertainty in the newsvendor model," Economics Letters, Elsevier, vol. 185(C).
    11. Qin, Yan & Wang, Ruoxuan & Vakharia, Asoo J. & Chen, Yuwen & Seref, Michelle M.H., 2011. "The newsvendor problem: Review and directions for future research," European Journal of Operational Research, Elsevier, vol. 213(2), pages 361-374, September.
    12. Giri, B.C., 2011. "Managing inventory with two suppliers under yield uncertainty and risk aversion," International Journal of Production Economics, Elsevier, vol. 133(1), pages 80-85, September.
    13. repec:ehu:dfaeii:10739 is not listed on IDEAS
    14. Dai, Yue & Chao, Xiuli, 2016. "Price delegation and salesforce contract design with asymmetric risk aversion coefficient of sales agents," International Journal of Production Economics, Elsevier, vol. 172(C), pages 31-42.
    15. Turan G. Bali & Nusret Cakici & Fousseni Chabi-Yo, 2011. "A Generalized Measure of Riskiness," Management Science, INFORMS, vol. 57(8), pages 1406-1423, August.
    16. Niu, Cuizhen & Guo, Xu & McAleer, Michael & Wong, Wing-Keung, 2018. "Theory and application of an economic performance measure of risk," International Review of Economics & Finance, Elsevier, vol. 56(C), pages 383-396.
    17. Kuang-Liang Chang & Charles Ka Yui Leung, 2022. "How did the asset markets change after the Global Financial Crisis?," Chapters, in: Charles K.Y. Leung (ed.), Handbook of Real Estate and Macroeconomics, chapter 12, pages 312-336, Edward Elgar Publishing.
    18. Dai, Jiansheng & Meng, Weidong, 2015. "A risk-averse newsvendor model under marketing-dependency and price-dependency," International Journal of Production Economics, Elsevier, vol. 160(C), pages 220-229.
    19. Liu, Congzheng & Letchford, Adam N. & Svetunkov, Ivan, 2022. "Newsvendor problems: An integrated method for estimation and optimisation," European Journal of Operational Research, Elsevier, vol. 300(2), pages 590-601.
    20. Werner Jammernegg & Peter Kischka, 2007. "Risk-averse and risk-taking newsvendors: a conditional expected value approach," Review of Managerial Science, Springer, vol. 1(1), pages 93-110, April.
    21. Arcelus, F.J. & Kumar, Satyendra & Srinivasan, G., 2012. "Risk tolerance and a retailer's pricing and ordering policies within a newsvendor framework," Omega, Elsevier, vol. 40(2), pages 188-198, April.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:proeco:v:234:y:2021:i:c:s0925527321000128. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/ijpe .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.