Dynamic analysis may have deeper implications if we depart from the analysis of stationary states. The frim must now serve some additional roles. In the absence of futures markets, the firm must serve as a forecaster and as a bearer of uncertainty. Further, from a general equilibrium point of view, the forecasts of others become relevant to the evaluation of the firm's shares and therefore possibly of the firm's behavior.

While economic theory in general may be defined as the theory of how an economic condition or an economic development is determined within an institutional framework, the deals with how to judge whether one condition can be said to be better in some way than another and whether it is possible, by altering the institutional framework, to achieve a better condition than the present one.

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Multiple discoveries are in fact very common in science and for much the same reason. Developments in related fields with different motivation help one to understand a difficult problem better. Since these developments are public knowledge, many scholars can take advantage of them. It is pleasant to the ego to be first or among the first with a new discovery. However, in this case at least, the evidence is clear that the development of general equilibrium theory would have gone on quite as it did without me.

If markets were sufficiently complete, with all futures periods and all uncertain contingencies already provided for in the contracts, the concept of property would cease to be problematic. All decisions would have been made in advance, and there would be no further questions of transfers to treat as just or unjust. Because in fact many of these markets do not exist, there are direct non-market relations which affect individuals' levels of satisfaction. Voluntary transfers become possible, but not all conceivable transfers can be made. Hence, voluntary transfers become biassed in direction, and the possible injustice of the whole system of transfers must be recognized.

The problem of measuring utility has frequently been compared with the problem of measuring temperature. This comparison is very apt. Operationally, the temperature of a body is the volume of a unit mass of a perfect gas placed in contact with it (provided the mass of the gas is small compared with the mass of the body). Why, it might be asked, was not the logarithm of the volume or perhaps the cube root of the volume of the gas used instead? The reason is simply that the general gas equation assumes a particularly simple form when temperature is defined in the way indicated. But there is no deeper significance.

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Democracy is a form of government in which political decisions are ultimately governed by the bulk of the adult population, though, of course, usually indirectly through election of representatives. It is fair to say that political liberties, freedom of speech and of the press, are so closely inherent in meaningful democracy as to constitute part of the definition. But one can perfectly well imagine democracy without freedom of religion or in a society where every move is reported and internal passports are needed. Whether or not these restrictions are incompatible with the persistence of democracy is a contingent question, not a tautologous consequence of a definition.

As indicated, I retain the view that the outcome should be an ordering. Presumably, the weakest possible outcome of a constitution would be a choice function, a mapping of each feasible set of alternatives into a chosen subset. Again, one cannot avoid some consistency relations among the choices from different feasible sets. Various conditions weaker than a full ordering have been proposed, but, in my judgement, they do not lead to interesting conclusions. Unless they are implausibly weak, these conditions do not lead to noticeably greater freedom in the selection of social choice procedures.

Clearly, information is of the utmost importance in making economic decisions, especially when it comes to securities or other assets whose value depends on events not yet known. Now the distribution of information cannot simply be taken as given. On the contrary, information can be acquired at some cost.

The domain of the theory of social choice is not in principle the same as that of a theory of justice. In some directions, it is clearly wider, since it is supposed to cover all decision that must be made collectively. On the other hand, it is possible to hold that propositions about distributive justice are not necessarily propositions about collective decisions.

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.