关于萨维奇表象定理的一些说明

IF 0.9 4区经济学 Q3 ECONOMICS

Theory and Decision Pub Date : 2024-08-16 DOI:10.1007/s11238-024-10003-1

Gabriel Frahm, Lorenz Hartmann

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引用次数: 0

摘要

萨维奇著名的代表定理是基于理性选择的七个公设。我们解决了文献中关于萨维奇公理不同版本之间关系的一些问题。由此，我们得出了表示定理的现有形式。我们还讨论了有关萨维奇表示定理历史发展的一些问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some Notes on Savage’s Representation Theorem

Savage’s famous representation theorem is based on seven postulates of rational choice. We resolve some loose ends in the literature concerning the relationship between different versions of Savage’s axioms. This leads us to the present form of the representation theorem. We also discuss some issues regarding the historical development of Savage’s representation theorem.

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来源期刊

Theory and Decision Multiple-

CiteScore

1.60

自引率

0.00%

发文量

期刊介绍： The field of decision has been investigated from many sides. However, research programs relevant to decision making in psychology, management science, economics, the theory of games, statistics, operations research, artificial intelligence, cognitive science and analytical philosophy have remained separate. Theory and Decision is devoted to all aspects of decision making belonging to such programs, but addresses also possible cross-fertilizations between these disciplines which would represent effective advances in knowledge. The purpose of the journal is to let the engineering of choice gradually emerge both for individual and for collective decision making. Formalized treatments will be favoured, to the extent that they provide new insights into the issues raised and an appropriate modeling of the situation considered. Due to its growing importance, expermentation in decision making as well as its links to the cognitive sciences will be granted special attention by Theory and Decision. Of particular interest are: Preference and belief modeling, Experimental decision making under risk or under uncertainty, Decision analysis, multicriteria decision modeling, Game theory, negotiation theory, collective decision making, social choice, Rationality, cognitive processes and interactive decision making, Methodology of the decision sciences. Applications to various problems in management and organization science, economics and finance, computer-supported decision schemes, will be welcome as long as they bear on sufficiently general cases. Analysis of actual decision making processes are also relevant topics for the journal, whether pertaining to individual, collective or negotiatory approaches; to private decisions or public policies; to operations or to strategic choices. Officially cited as: Theory Decis