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Logics for Nonomniscient Agents: An Axiomatic Approach


  • Barton L. Lipman


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 Papers 874, Queen's University, Department of Economics.
  • Handle: RePEc:qed:wpaper:874

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    References listed on IDEAS

    1. Connor, Gregory, 1984. "A unified beta pricing theory," Journal of Economic Theory, Elsevier, vol. 34(1), pages 13-31, October.
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    More about this item


    bounded rationality; decision theory; nonstandard logics;

    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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