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Excerpt from Order, Topology and Preference
The topic of Section 4, the theory of preference, is largely but not solely the motivation for the study as a whole. Thus, some of the facts and notions presented before that section are not used at all in Section 4. Sections 1 - 2 are preparatory. Section 3 exploits some consequences of connectivity, especially for normally preordered spaces, thus extending the early work of Eilenberg [5] and Nachbin [9] on order and topology.
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Paperback. Zustand: New. Print on Demand. This book delves into the connection between order, topology, and preference, exploring how standard order and topology notions, facts, and methods can be used to analyze central topics in preference theory. The author extends the foundations of Gorman's insightful characterization of preference structures by relaxing two of Gorman's postulates to a much weaker postulate: connectivity. It also introduces two new theorems that are likely to be of particular interest to readers. The author demonstrates how a preference relation can be represented by a continuous real-valued function preserving that relation, extending Debreu's celebrated first representation theorem by dropping the separability assumption for the space of prospects. The work extends the theory of preference, particularly Gorman's characterization of the structure of preference relations and their representations. It also contributes to the ongoing research on planning and control for multiple objectives being conducted within the MIPC Group at the Sloan School of Management, M.I.T. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781332881116_0
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