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Cost-Loss Decision Models with Risk Aversion

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2008
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Instituto Complutense de Estudios Internacionales
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Es generalmente aceptado que determinados fenómenos metereológicos extremos acontecidos durante las pasadas décadas están conectados con el cambio climático. Algunos de estos hechos, como sequías o heladas, afectan a la agricultura haciendo obligada la gestión del riesgo. El objetivo de este trabajo es analizar las decisiones de los agricultores respecto a la gestión del riesgo, tomando en cuenta la información climática y metereológica. El trabajo considera una situación en la que el agricultor, en su gestión de la producción agraria, tiene tecnología disponible para proteger la cosecha de los efectos del tiempo meteorológico. Este enfoque ha sido usado por Murphy et al. (1985), Katz and Murphy (1990) y otros en el caso de que los agricultores maximicen los beneficios esperados. No obstante, en esta ocasión, el modelo introduce un análisis de la actitud hacia al riesgo, de modo que se pueda evaluar cómo la decisión óptima es afectada por el coeficiente de aversión absoluta al riesgo de Arrow-Pratt; y se pueda al tiempo computar el valor económico de la información en semejante contexto.
Extreme meteorological events have increased over the last decades and it is widely accepted that it is due to climate change. Some of the extremes, like drought or frost episodes largely affect agricultural outputs and risk management becomes crucial. The goal of this work it is to analyze farmers’ decisions about risk management, taking into account climatological and meteorological information. We consider a situation in which the farmer, as part of crop management, has available a technology to protect the harvest from weather effects. This approach has been used by Murphy et al. (1985), Katz and Murphy (1990) and others in the case that the farmer maximizes the expected returns. Nevertheless, in our model we introduce the attitude towards risk, so we can evaluate how the optimal decision is affected by the absolute risk aversion coefficient of Arrow-Pratt, and compute the economic value of the information in this context.
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Katz, R.W., Murphy, A.H. (1997), “Forecast value: prototype decision –making models”, in Richard W. Katz, Allan H. Murphy (eds.), Economic Value of Weather and Climate Forecasts, Cambridge University Press, Cambridge, pp. 183-217. Katz, R.W. (1993), “Dynamic cost-loss ratio decision making model with an autocorrelated climate variable”, Journal of Climate, 5, pp. 151-160. Katz, R.W., Murphy, A.H. (1990), “Quality/value relationship for imperfect weather forecasts in a prototype multistage decision-making model”, Journal of Forecasting, 9, pp. 75-86. Keeney, R.L. (1982), “Decision analysis: an overview”, Operations Research, 30, pp. 803-838. Mas-Collel, A., Whinston, M.D., Green, J.R. (1995), Microeconomic Theory, Oxford University Press, New York. McNew, K.P., Mapp, H.P. (1990), “Sources and Uses of Weather Information by Oklahoma Farmers and Ranchers”, Oklahoma Current Farm Economics, 63(2), pp. 15-30. Murphy, A. H. (1977), “The value of climatological, categorical and probabilistic forecasts in the costloss ratio situation”, Monthly Weather Review, 105, pp. 803-816. Murphy, A. H., Katz, R.W., Winkler, R.L., Hsu, W. (1985), “Repetitive decision making and the value of forecasts in the cost-loss ratio situation: a dynamic model”, Monthly Weather Review, 113, pp. 801-813. Thompson, J. C., Brier, G. W. (1955), “The economic utility of weather forecasts”, Monthly Weather Review, 83, pp. 249-254. Thompson, J. C. (1952), “On the operational deficiencies in categorical weather forecasts”, Bulletin of the American Meteorological Society, 33, pp. 223-226. Thompson, J. C. (1962), “Economic gains from scientific advances and operational improvements in meteo-rological prediction”, Journal of Applied Meteorology, 1, pp. 13-17. Wilks, D.S. (1997), “Forecast value: prescriptive decision studies”, in Richard W. Katz, Allan H. Murphy (eds.), Economic Value of Weather and Climate Forecasts, Cambridge University Press, Cambridge, pp. 109-145. Winkler, R.L., Murphy, A.H. (1985), “Decision analysis”, in A.H. Murphy, R.W. Katz (eds.), Probability, Statistics and Decision Making in the Atmospheric Sciences, Westview Press, Boulder, Co, pp. 493-524. Winkler, R.L., Murphy, A.H., Katz, R.W. (1983), “The value of climate information: a decision-analytic approach”, Journal of Climatology, 3, pp. 187-197.