By A.K. Sharma
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Extra resources for Application of Integral Calculus
In the real world, we do not expect producers to be in equilibrium and, therefore, the equilibrium demand function needs to be converted into a dynamic one. In order to obtain a dynamic demand function, we combine the equilibrium theory with a partial adjustment model of producer decision-making. Demand in period t is then made a function, not only of relative prices in the same period, but also of demand in the previous period. In addition, actual demand may also be a function of the level of available liquid assets if farm-firms face a capital funds constraint.
The latter suggests that the adjustment of aggregate stock between the end of the last production period and the end of the present period is some fraction of the difference between the equilibrium stock in the present period and the actual stock in the last period. 41) where γ is the adjustment coefficient. 42) to obtain a dynamic demand function for capital stock. e. 43) Replacement investment is related in some way to the level of past stock. 43) indicates that gross investment is a function of current relative prices and the level of past stock.
0 - β)Ρΐ-1 And if we successively substitute for we obtain: PPN, = /MV, + 0 - 0 βΡΡ,+η= βΡΡ^2 + (1 - β)2 βΡ„,_3 + ... 14) This means that the greater the coefficient of expectations, β, the t Marc Nerlove, Distributed lags and estimation of long run supply and demand elasticities: theoretical considerations, Journal of Farm Economics, vol. 40, 1958, p. 303. 31 Theory of Resource Demand greater is the weight placed on most recent experience and the fewer are the past prices that have any substantial influence on PPt.