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Machina and Raiffa on the independence axiom

✍ Scribed by Jordan Howard Sobel


Book ID
104736906
Publisher
Springer Netherlands
Year
1989
Tongue
English
Weight
761 KB
Volume
56
Category
Article
ISSN
0031-8116

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✦ Synopsis


Mark Machina has opposed the independence axiom, and "the argument for the 'rationality' of this prescription," by what he feels is "the strongest c0unterargument." (Machina, pp. 166 and 172. References, unless otherwise indicated, are to this paper.) In what follows, Machina's statement of that axiom, and this argument, Howard Raiffa's argument, for it, are presented. Next comes Machina's counterargument. This counterargument is criticized and judged to be not very strong. 1 Finally, the argument for the axiom is examined and held to be, under cover of certain ambiguities, question-begging at best.


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## Abstract We show that the both assertions β€œin every vector space __B__ over a finite element field every subspace __V__ βŠ† __B__ has a complementary subspace __S__” and β€œfor every family π’œ of disjoint odd sized sets there exists a subfamily β„±={F~j~:j ϡω} with a choice function” together imply the