Law Commons^™

Paradoxes Of Fair Division, Paul H. Edelman, Steven J. Brams, Peter C. Fishburn

Vanderbilt Law School Faculty Publications

Paradoxes, if they do not define a field, render its problems intriguing and often perplexing, especially insofar as the paradoxes remain unresolved. Voting theory, for example, has been greatly stimulated by the Condorcet paradox, which is the discovery by the Marquis de Condorcet that there may be no alternative that is preferred by a majority to every other alternative, producing so-called cyclical majorities. Its modern extension and generalization is Arrow's theorem, which says, roughly speaking, that a certain set of reasonable conditions for aggregating individuals' preferences into some social choice are inconsistent. In the last fifty years, hundreds of books …