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Voting theory has always focused on mechanism design, but this paper shows that voting theory is also a useful tool in the field of preference representation. Both the lexicographic order on n-dimensional Euclidean space and the threshold of detectable difference relation are pairwise majority...
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This paper takes voting theory out of the realm of mechanism design and studies elections as tools for representing preferences: every preference relation on a set of n elements is the outcome of pairwise voting by approximately 2 log2n voters with transitive preferences. Results like this one...
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We assign a probabilistic evaluation to a firm as a measure, in the form of a probability distribution over [0,1], of the quality of the firm’s products. When two firms compete to develop a new product, a prospective investor can use the two evaluations to determine which firm is likely to...
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In two-sided matching markets, stability can be costly. We define social welfare functions for matching markets and use them to formulate a definition of the price of stability. We then show that it is common to find a price tag attached to stability, and that the price of stability can be...
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