JOURNAL ARTICLE

Logic, Co-ordination and the Envelope of our Beliefs.

  • Published In: Logic Journal of the IGPL, 2023, v. 31, n. 6. P. 1069 1 of 3

  • Database: Business Source Ultimate 2 of 3

  • Authored By: Parikh, Rohit 3 of 3

Abstract

This article focuses on how differing beliefs between agents affect decision-making and coordination, particularly when agents share utilities but hold distinct sets of beliefs. It develops a formal framework using logical language and utility theory to analyze how agents evaluate actions and pairs of actions under uncertainty, defining concepts such as Pareto optimality and Nash optimality in contexts of shared or differing beliefs. The work introduces a metric to quantify the logical distance between agents' beliefs relative to specific actions, illustrating how partial agreement and disagreement can coexist across different issues. Examples demonstrate how belief differences influence joint decisions and highlight the complexities of coordination when knowledge asymmetries and belief inconsistencies arise.

Additional Information

  • Source:Logic Journal of the IGPL. 2023/12, Vol. 31, Issue 6, p1069
  • Document Type:Article
  • Subject Area:Science
  • Publication Date:2023
  • ISSN:1367-0751
  • DOI:10.1093/jigpal/jzac077
  • Accession Number:173856139
  • Copyright Statement:Copyright of Logic Journal of the IGPL is the property of Oxford University Press / USA and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

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