[go: up one dir, main page]
IDEAS home Printed from https://ideas.repec.org/a/ags/jpjjre/242139.html
   My bibliography  Save this article

Linear Structural Models of Production under Price Uncertainty: A Mean-Standard Deviation Approach

Author

Listed:
  • Nakashima, Takahiro
Abstract
The linearization of structural models of random price production may be carried out by exploiting the mean-standard deviation approach under a location and scale parameter condition. As shown here, the linearization problem may be solved under widely employed assumptions on production technology (i.e., a homogeneous production function) and on the type of risk aversion (i.e., constant absolute risk aversion or constant relative risk aversion). The linear structural models proposed in this study are more practical than those developed using the expected utility approach, for several reasons. First, they remarkably reduce the cost of estimating agent risk parameters. Second, they facilitate the calculation of various analytic measures that are useful for understanding production behavior, such as the risk premium and the elasticity of supply. Third, they allow for geometric explanations of agent attitudes toward price uncertainty. These practical attributes would facilitate a structural examination of farmer production behavior in the face of price risk. Furthermore, since the location and scale parameter condition under which all the arguments in this study are made is satisfied in a large number of economic models, the structural model simplification procedure considered here would be effective for developing tractable structural models involving alternative types of randomness, such as yield and financial uncertainties.

Suggested Citation

  • Nakashima, Takahiro, 2006. "Linear Structural Models of Production under Price Uncertainty: A Mean-Standard Deviation Approach," Japanese Journal of Agricultural Economics (formerly Japanese Journal of Rural Economics), Agricultural Economics Society of Japan (AESJ), vol. 8, pages 1-11.
    • Handle: RePEc:ags:jpjjre:242139
    DOI: 10.22004/ag.econ.242139
    as

    Download full text from publisher

    File URL: https://ageconsearch.umn.edu/record/242139/files/Nakashima-06.pdf
    Download Restriction: no
    File URL: https://libkey.io/10.22004/ag.econ.242139?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
    ---><---

    References listed on IDEAS

    as
    1. Atanu Saha & C. Richard Shumway & Hovav Talpaz, 1994. "Joint Estimation of Risk Preference Structure and Technology Using Expo-Power Utility," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 76(2), pages 173-184.
    2. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    3. Håkan Eggert & Ragnar Tveteras, 2004. "Stochastic Production and Heterogeneous Risk Preferences: Commercial Fishers' Gear Choices," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 86(1), pages 199-212.
    4. Milton Friedman & L. J. Savage, 1948. "The Utility Analysis of Choices Involving Risk," Journal of Political Economy, University of Chicago Press, vol. 56(4), pages 279-279.
    5. Jean-Paul Chavas & Matthew T. Holt, 1990. "Acreage Decisions Under Risk: The Case of Corn and Soybeans," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 72(3), pages 529-538.
    6. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    7. Carl H. Nelson, 2004. "Toward exploring the location-scale condition: a constant relative risk aversion location-scale objective function," European Review of Agricultural Economics, Oxford University Press and the European Agricultural and Applied Economics Publications Foundation, vol. 31(3), pages 273-287, September.
    8. Lau, Lawrence J., 1969. "Duality and the structure of utility functions," Journal of Economic Theory, Elsevier, vol. 1(4), pages 374-396, December.
    9. Hansen, Lars Peter & Singleton, Kenneth J, 1983. "Stochastic Consumption, Risk Aversion, and the Temporal Behavior of Asset Returns," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 249-265, April.
    10. Murat Isik & Madhu Khanna, 2003. "Stochastic Technology, Risk Preferences, and Adoption of Site-Specific Technologies," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(2), pages 305-317.
    11. Chambers,Robert G., 1988. "Applied Production Analysis," Cambridge Books, Cambridge University Press, number 9780521314275, September.
    12. Feder, Gershon, 1980. "Farm Size, Risk Aversion and the Adoption of New Technology under Uncertainty," Oxford Economic Papers, Oxford University Press, vol. 32(2), pages 263-283, July.
    13. Gershon Feder & Richard E. Just & Andrew Schmitz, 1980. "Futures Markets and the Theory of the Firm under Price Uncertainty," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 94(2), pages 317-328.
    14. Rulon D. Pope & Richard E. Just, 1991. "On Testing the Structure of Risk Preferences in Agricultural Supply Analysis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(3), pages 743-748.
    15. Holthausen, Duncan M, 1979. "Hedging and the Competitive Firm under Price Uncertainty," American Economic Review, American Economic Association, vol. 69(5), pages 989-995, December.
    16. Elie Appelbaum & Aman Ullah, 1997. "Estimation Of Moments And Production Decisions Under Uncertainty," The Review of Economics and Statistics, MIT Press, vol. 79(4), pages 631-637, November.
    17. Chavas, Jean-Paul & Holt, Matthew T, 1996. "Economic Behavior under Uncertainty: A Joint Analysis of Risk Preferences and Technology," The Review of Economics and Statistics, MIT Press, vol. 78(2), pages 329-335, May.
    18. H. Alan Love & Steven T. Buccola, 1991. "Joint Risk Preference-Technology Estimation with a Primal System," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 73(3), pages 765-774.
    19. Thomas, Alban & Bontems, Philippe, 1998. "Information Value And Risk Premium In Agricultural Production Under Risk: The Case Of Split Nitrogen Application For Corn," 1998 Annual meeting, August 2-5, Salt Lake City, UT 20844, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    20. Philippe Bontems & Alban Thomas, 2000. "Information Value and Risk Premium in Agricultural Production: The Case of Split Nitrogen Application for Corn," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 82(1), pages 59-70.
    21. Meyer, Jack, 1987. "Two-moment Decision Models and Expected Utility Maximization," American Economic Review, American Economic Association, vol. 77(3), pages 421-430, June.
    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. Gomez-Limon, Jose A. & Arriaza, Manuel & Riesgo, Laura, 2003. "An MCDM analysis of agricultural risk aversion," European Journal of Operational Research, Elsevier, vol. 151(3), pages 569-585, December.
    2. Gomez-Limon, Jose Antonio & Riesgo, Laura & Arriaza Balmón, Manuel, 2002. "Agricultural Risk Aversion Revisited: A Multicriteria Decision-Making Approach," 2002 International Congress, August 28-31, 2002, Zaragoza, Spain 24827, European Association of Agricultural Economists.
    3. CARPENTIER, Alain & GOHIN, Alexandre & SCKOKAI, Paolo & THOMAS, Alban, 2015. "Economic modelling of agricultural production: past advances and new challenges," Review of Agricultural and Environmental Studies - Revue d'Etudes en Agriculture et Environnement (RAEStud), Institut National de la Recherche Agronomique (INRA), vol. 96(1), March.
    4. Robert G. Chambers & Margarita Genius & Vangelis Tzouvelekas, 2021. "Invariant Risk Preferences and Supply Response under Price Risk," American Journal of Agricultural Economics, John Wiley & Sons, vol. 103(5), pages 1802-1819, October.
    5. Murat Isik & Madhu Khanna, 2003. "Stochastic Technology, Risk Preferences, and Adoption of Site-Specific Technologies," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 85(2), pages 305-317.
    6. Philippe Bontems & Celine Nauges, 2018. "Production choices with water markets and risk aversion: the role of initial allocations and forward trading," Post-Print hal-02349932, HAL.
    7. Just, Richard E., 2003. "Risk research in agricultural economics: opportunities and challenges for the next twenty-five years," Agricultural Systems, Elsevier, vol. 75(2-3), pages 123-159.
    8. Serra, Teresa & Goodwin, Barry K. & Featherstone, Allen M., 2011. "Risk behavior in the presence of government programs," Journal of Econometrics, Elsevier, vol. 162(1), pages 18-24, May.
    9. Teresa Serra & David Zilberman & José M. Gil, 2008. "Differential uncertainties and risk attitudes between conventional and organic producers: the case of Spanish arable crop farmers," Agricultural Economics, International Association of Agricultural Economists, vol. 39(2), pages 219-229, September.
    10. Bontems, Philippe & Thomas, Alban, 2001. "Optimal Regulation Under Asymmetric Information And Risk Aversion With An Application To Pollution Control," 2001 Annual meeting, August 5-8, Chicago, IL 20727, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    11. Ahearn, Mary Clare & Collender, Robert N. & Diao, Xinshen & Harrington, David H. & Hoppe, Robert A. & Korb, Penelope J. & Makki, Shiva S. & Morehart, Mitchell J. & Roberts, Michael J. & Roe, Terry L. , 2004. "Decoupled Payments In A Changing Policy Setting," Agricultural Economic Reports 33981, United States Department of Agriculture, Economic Research Service.
    12. Just, David R., 2011. "Calibrating the wealth effects of decoupled payments: Does decreasing absolute risk aversion matter?," Journal of Econometrics, Elsevier, vol. 162(1), pages 25-34, May.
    13. Bontemps, Christophe & Bougherara, Douadia & Nauges, Céline, 2020. "Do Risk Preferences Really Matter? The Case of Pesticide Use in Agriculture," TSE Working Papers 20-1095, Toulouse School of Economics (TSE).
    14. Broll, Udo & Egozcue, Martín & Wong, Wing-Keung & Zitikis, Ričardas, 2010. "Prospect theory and hedging risks," Dresden Discussion Paper Series in Economics 05/10, Technische Universität Dresden, Faculty of Business and Economics, Department of Economics.
    15. De Pinto, Alessandro & Robertson, Richard D. & Obiri, Beatrice Darko, 2013. "Adoption of climate change mitigation practices by risk-averse farmers in the Ashanti Region, Ghana," Ecological Economics, Elsevier, vol. 86(C), pages 47-54.
    16. Alfons Oude Lansink, 1999. "Area Allocation Under Price Uncertainty on Dutch Arable Farms," Journal of Agricultural Economics, Wiley Blackwell, vol. 50(1), pages 93-105, January.
    17. Li, Chenguang & Sexton, Richard J., 2009. "Impacts of Retailers’ Pricing Strategies for Produce Commodities on Farmer Welfare," 2009 Conference, August 16-22, 2009, Beijing, China 51720, International Association of Agricultural Economists.
    18. Kim, Tae-Hun, 2008. "The measurement of farmers' risk attitudes using a non-structural approach," Journal of Rural Development/Nongchon-Gyeongje, Korea Rural Economic Institute, vol. 31(2), pages 1-18, May.
    19. Travis J. Lybbert & David R. Just, 2007. "Is Risk Aversion Really Correlated with Wealth? How Estimated Probabilities Introduce Spurious Correlation," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 89(4), pages 964-979.
    20. Just, Richard E. & Just, David R., 2011. "Global identification of risk preferences with revealed preference data," Journal of Econometrics, Elsevier, vol. 162(1), pages 6-17, May.

    More about this item

    Keywords

    Risk and Uncertainty;

    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:ags:jpjjre:242139. 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: AgEcon Search (email available below). General contact details of provider: https://edirc.repec.org/data/aesjjea.html .

    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.