Abstract
In Economics, if the price that a person is willing to pay for a given quantity of one good depends on the quantity of another good that he expects to possess, the two goods are said to be complementary, in relation to his valuations.
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[On his revision copy, DB wrote: ‘In rewriting the geometry of <Chapter> 16, start with oval curves which are not intersected in more than 2 points by a vertical or horizontal straight line. They are not really ovals.’ We have not found any MSS in the Black papers to suggest that DB ever made any progress on this.]
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Notes
Cf. Duncan Black and R. A. Newing, Committee Decisions with Complementary Valuation [Reprinted in full as part 3].
[On his revision copy, on the page containing Figs 132-3, DB wrote, ‘Assume closed “ovals” (?), i.e., curves not interrupted in more than 2 points by a horizontal or vertical straight line. ?They are not ovals’.]
The case when the contours are other than smooth convex curves is dealt with in the monograph referred to, [reprinted as part 3].
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McLean, I., McMillan, A., Monroe, B.L. (1998). A Committee Using a Simple Majority: Complementary Motions. In: McLean, I., McMillan, A., Monroe, B.L. (eds) The Theory of Committees and Elections by Duncan Black and Committee Decisions with Complementary Valuation by Duncan Black and R.A. Newing. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4860-3_16
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