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Logics for Nonomniscient Agents: An Axiomatic Approach

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  • Barton L. Lipman

Abstract

It has long been recognized that solving the logical omniscience problem requires using some kind of nonstandard possible worlds. While many such logics have been proposed, none has an obvious claim as the "right" logic to use to describe the reasoning of agents who are not logically omniscient. I show how to derive such nonstandard worlds as part of a representation of an agent's preferences. In this sense, the agent's logic is given the same basis as a utility function or subjective probability. As an illustration, I give conditions on preferences which imply that the agent's logic is a version of the logic of inconsistency proposed by Rescher and Brandom (1979).

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File URL: http://qed.econ.queensu.ca/working_papers/papers/qed_wp_874.pdf
File Function: First version 1993
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Bibliographic Info

Paper provided by Queen's University, Department of Economics in its series Working Papers with number 874.

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Length: 37 pages
Date of creation: Jan 1993
Date of revision:
Handle: RePEc:qed:wpaper:874

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Keywords: bounded rationality; decision theory; nonstandard logics;

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