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By A.K. Sen

ISBN-10: 0444851275

ISBN-13: 9780444851277

This ebook is worried with the examine of collective choice, specifically with the connection among the pursuits of social motion and the personal tastes and aspirations of societys contributors.

Professor Sens strategy relies at the assumption that the matter of collective selection can't be satisfactorily mentioned in the confines of economics. whereas collective selection varieties an important element of economics, the topic pertains additionally to political technology, the speculation of the country, and to the speculation of determination approaches. the writer has for that reason used fabric from those disciplines, plus philosophical points from ethics and the idea of justice.

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Sample text

The Arrow impossibility theorem about SWFs will get readily transformed into an impossibility theorem about SDFs if property ß is also imposed as a necessary condition of social choice (Theorem 4*5). Then at least one of the four condi­ tions of Arrow must be suppressed for the sake of consistency. The real question is, therefore, not whether property ß is a good thing, but whether it is a better thing than any of the other four conditions in the context of a SDF. Something has to give, and property /3, while in itself attractive, may be thought to be more dispensable than the other possible candidates for elimination.

We pick the following: ( 1) (2) (3) For all i in K19 xP{y & y P{ z. For all j in K2, z P. x & x Pay. For all k in K3, y Pk z & z Pk x. Since V is almost decisive for x against y, and since every indi­ vidual in V prefers Λ: to y, and every individual not in V does the opposite, we must have x Py. Between y and z, only V2 members prefer z to y, and the rest prefer y to z, so that if z Py, then V2 must be an almost decisive set. But V was chosen as the smallest almost decisive set, and V2 is smaller than that (being a proper subset of it).

Y, and decides that it is worse than both xand z. This change keeps the total score of x unchanged, but z gets one more mark, scoring 8, and now defeats x with its score of 7. While everyone's ordering of x and z are still the same, the social choice between x and z is not the same, and this of course violates condition /. So this SWF also fails to pass the test of the four conditions. Next consider a somewhat odd CCR. Let the social preference be determined by an entirely specified traditional code implying a given ordering R* of the social states.

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Collective Choice and Social Welfare by A.K. Sen


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