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If you care about democracy and have never heard of Arrow?s impossibility theorem, then it is important that you read this book. If you have heard of Arrow?s work, and think that it proves that there is no good way to hold an election, then it is even more so.
What Kenneth Arrow did, contributing to his winning a Nobel Prize, was to list a number of properties which an electoral method should have and to prove that it was impossible for any method to have them all. That Arrow himself did not interpret this to mean that the problem was hopeless is shown by his going on to win the National Medal of Science for his work on making decisions with imperfect information.
In this book professor Saari takes Arrow?s requirements one by one, shows the meaning and importance of each, and looks at the consequences if it is violated. In doing so he demonstrates that Arrow?s theorem, rather than being in conflict with common sense, is actually highly compatible with it. He also lays the groundwork for our developing better ways of holding elections. This is done with a wealth of real world examples and a minimum of mathematics.
The author has published over 140 research papers, taught in half a dozen countries, won several prestigious awards, and been awarded three honorary doctorates. It would not be surprising if he himself were a Nobel candidate one of these days.
