“Dorfman–Steiner theorem”的意思、由来-开放百科全书

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Dorfman–Steiner theorem

释义

References

The Dorfman–Steiner theorem (or Dorfman–Steiner condition) is a neoclassical economics theorem which looks for the optimal level of advertising that a firm should undertake. The theorem is named after Robert Dorfman and Peter O. Steiner who developed the approach in their widely cited 1954 article in the American Economic Review. Firms can increase their sales by either decreasing the price of the good or persuading consumers to buy more by increasing advertising expenditure. The optimal level of advertising for a firm is found where the ratio of advertising to sales equals the price-cost margin times the advertising elasticity of demand. The obvious result is that the greater the degree of sensitivity of quantity demanded to advertising and the greater the margin on the extra output then the higher the level of advertising. ^[1]

A simple textbook presentation of the mathematical statement of the approach is as follows:

Where

is the price per unit of advertising

is the amount of advertising

is the price of the good

is the output of the good

is the average or marginal, depending on the assumptions, cost of production

is the advertising elasticity of demand.^[2]

References

1. ^Dorfman, Robert, and Peter O. Steiner. (1954) Optimal Advertising and Optimal Quality. American Economic Review 44, 826-36.
2. ^Andréosso-O'Callaghan, Bernadette, and David Jacobson. (2005). Industrial economics and organisation: a European perspective. London: McGraw-Hill

2 : Advertising|Economics theorems

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