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In the Administration building at Linkopi ng University we have one of Oscar Reutersvard s Impossible Figures in three dimensions. I call it Perspectives of Science. When viewed from a speci c point in space there is order and structure in the 3dimensional gure. When viewed from other points there is disorder and no structure. If a speci c scienti c paradigm is used, there is order and structure; otherwise there is disorder and no structure. My perspective in Transportation Science has focused on understanding the mathematical structure and the logic underlying the choice probability models in common use. My book with N. F. Stewart on the Gravity model (Erlander and Stewart 1990), was written in this perspective. The present book stems from the same desire to understand underlying assumptions and structure. It investigateshow far a new way of de ning CostMinimizing Behavior can take us.Itturnsoutthatall commonlyusedchoiceprobabilitydistributionsoflogittype log linear probability functions follow from costminimizing behavior de ned in the new way. In addition some new nested models appear.
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