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Logics for Nonomniscient Agents: An Axiomatic Approach

Author

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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).

Suggested Citation

  • Barton L. Lipman, 1993. "Logics for Nonomniscient Agents: An Axiomatic Approach," Working Paper 874, Economics Department, Queen's University.
    • Handle: RePEc:qed:wpaper:874
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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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    Cited by:

    1. Christian Schmidt, 2006. "Quelques points de rencontre entre économistes et psychologues," Revue économique, Presses de Sciences-Po, vol. 57(2), pages 242-257.

    More about this item

    Keywords

    bounded rationality; decision theory; nonstandard logics;
    All these keywords.

    JEL classification:

    • C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty

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