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SCHOOL OF FINANCE AND ECONOMICS UTS:BUSINESS WORKING PAPER NO. 26 MARCH, 1993 An Economic Analysis of Genetic Improvement Within a Commercial Livestock Population Maxwell Stevenson ISSN: 1036-7373 http://www.business.uts.edu.au/finance/

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Page 1: SCHOOL OF FINANCE AND ECONOMICS · SCHOOL OF FINANCE AND ECONOMICS UTS: ... "Applications of Control Theory to Economic Growth," in G.B ... Variations and Optimal Control in Economics

SCHOOL OF FINANCE AND ECONOMICS

UTS:BUSINESS

WORKING PAPER NO. 26 MARCH, 1993

An Economic Analysis of Genetic Improvement Within a Commercial Livestock Population Maxwell Stevenson ISSN: 1036-7373 http://www.business.uts.edu.au/finance/

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References

Arrow, K.J., (1968), "Applications of Control Theory to Economic Growth," in G.B. Dantzig and Veinott, A.F., Jr. (eds), Mathematics of the Decision Sciences, Providence, R.I., American Mathematical Society, 1968. ·

Arrow, K.J. and Kurz, M., (1970), Public Investment, the Rate of Return. and Optimal Fiscal Policy, Baltimore, John Hopkins Press, J 970.

Bichard, M., (1971) "Dissemination of Genetic Improvement through a Livestock Industry," Animal Production, 13, pp. 401-411.

Burmeister, E., and Dobell, A., (1970), Mathematical Theories of Econom ic Growth, Macmillan, New York.

Chakravarty, S., (1969), Capital and Development Planning, MIT Press, Cambridge, Mass.

Davis, B., and Elzinga, D., (1971), "The Solution of an Optimal Control Problem in Financial Modelling," Operations Research, 19, pp. 1419-1433.

Elsen, J.M. and Mocquot, J.C., (1974), "Recherches pour une rationalisation technique et economique des schemes de selection des bouvins et ovins," Bull, Tech. Dep Genet, Anim (INRA), 17.

Hadley, G., and Kemp, M., (1971), Variational Methods in Economics, North-Holland, New York.

Harris, M., (1976), "Optimal Planning Under Transaction Costs: The Demand for Money and Other Assets," Journal of Economic Theory, 12, pp. 298-314, April.

Hill, W.G., (1971), "Investment Appraisal for National Breeding Programmes," Animal Production, 13, pp. 37-50.

Intriligator, M., (1971), Mathematical Optimization and Economic Theory, Prentice- Hall.

James, J., (1972), "Optimum Selection Intensity in Breeding Programmes," Animal Production, 14, pp. 1-9.

James, J., (1977), "Open Nucleus Breeding Systems," Animal Production, 24, pp. 287-305.

James, J., (1980), "The analysis of sire buying policies," Ann. Genet. Sel. anim., 12(1), pp. 41-55.

Kamien, M., and Schwartz, M., (1974), "Product Durability Under Monopoly and Competition," Econometrica, 42, pp. 289-301, March.

Kamien, M., and Schwartz, N., (1977), "Optimal Capital Accumulation and Durable Durable Goods Production," Zeitschrift fur Nationalokonomie; 37, pp. 25-43.

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Kamien, M., and Schwartz, N., (1981), Dynamic Optimization: The Calculus of Variations and Optimal Control in Economics and Management, North-Holland, New York.

Leban, R. and Lesourne, J., (1963), "Adaptive Strategies of the Firm Through a Business Cycle," Journal of Economic Dynamics and Control, 5, pp. 201-234.

Leonard, D., and Long, N.V., (1992), Optimal Control Theory and Static Optimisation in Economics, Cambridge University Press.

Leonard, D., (1987), "Co-state Variables Correctly Value Stocks At Each Instant; A Proof," Journal of Economic Dynamics and Control 11, pp. 117-22.

Leonard, D., (1988), "Internalizing the Bequest Motive," mimeograph, University of New South Wales.

Miller, R., (1979), Dynamic Optimization and Economic Applications, McGraw-Hill, N.Y.

Pitchford, J., (1977), "Two state variable problems," Pitchford, J. and Turnovsky, S., (eds), Applications of Control Theory to Economic Analysis, North-Holland.

Pontryagin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V. and Mishchenko, E.F. (trans K. Trinogoff; ed. L. Neustadi), (1962), The Mathematical Theory of Optimal Processes, Wiley-Interscience, N.Y.

Poutous, M. and Vissac, B., (1962), "Recherche Theorique des Conditions de Rentabilite Maximum de L'epreuve de Descendance des Tauraux D'insemination Artificielle", Annis Zootech., 11, pp. 233-256.

Ramsey, F., (1928), "A Mathematical Theory of Saving," Economic Journal, Vol. 38, pp. 543-559, December.

Robertson, A., (1953), "A Numerical Description of Breed Structure," Journal of Agricultural Science, Cambridge, 43, pp. 334-336.

Robertson, A., and Asker, A., (1951), "The genetic history and breed-structure of British Freisian cattle," Emp. J. exp. Agric., 19, pp. 113-130.

Seater, J., (1970), "Job Search and Vacancy Contracts," Americnn Economic Review, 69, pp. 411-419, June.

Seirstad, A. and Sydsaeter, K., (1977), "Sufficient Conditions in Optimal Control Theory," International Economic Review, Vol. 18, No. 2, June 1977, pp. 367-391.

Stevenson, M.J., (1991), "The Economics of Genetic Improvement ·within a Commercial Cattle Herd," unpublished Ph.D. thesis, School of Economics, University of New South Wales.

Stutzer, M., (1980), "Chaotic Dynamics and Bifurcation in a Macro Model," Journal of Economic Dynamics and Control 2, pp. 353-376, North-Holland.

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