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" "The formal structure of a decision problem in any area can be put into four parts: (1) the choice of an objective function defining the relative desirability of different outcomes; (2) specification of the policy alternatives which are available to the agent, or decision-maker, (3) specification of the model, that is, empirical relations that link the objective function, or the variables that enter into it, with the policy alternatives and possibly other variables; and (4) computational methods for choosing among the policy alternatives that one which performs best as measured by the objective function.
Kenneth Joseph Arrow (August 23, 1921 – February 21, 2017) was an American economist, who was Professor Emeritus of Economics in Stanford, and joint winner of the Nobel Memorial Prize in Economics with John Hicks in 1972.
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For the voucher system to work, it would be necessary to have informed parents. One cannot be dogmatic without empirical evidence, but I would be surprised if the average parent has the time or patience or competence to digest the relevant information. Indeed, one wonders where the information is to come from and in what form it should exist. Do we use test scores, themselves affected by the selection processes of the students? Impressions of individual teachers or of the physical appearance of the school will tend to dominate.