Switch to: References

Add citations

You must login to add citations.
  1. Does Optimization Imply Rationality?Philippe Mongin - 2000 - Synthese 124 (1-2):73 - 111.
    The relations between rationality and optimization have been widely discussed in the wake of Herbert Simon's work, with the common conclusion that the rationality concept does not imply the optimization principle. The paper is partly concerned with adding evidence for this view, but its main, more challenging objective is to question the converse implication from optimization to rationality, which is accepted even by bounded rationality theorists. We discuss three topics in succession: (1) rationally defensible cyclical choices, (2) the revealed preference (...)
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  • Doxastic Logic.Michael Caie - 2019 - In Jonathan Weisberg & Richard Pettigrew (eds.), The Open Handbook of Formal Epistemology. PhilPapers Foundation. pp. 499-541.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Intension, Extension, and the Model of Belief and Knowledge in Economics.Ivan Moscati - 2012 - Erasmus Journal for Philosophy and Economics 5 (2):1.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Varieties of Interpersonal Compatibility of Beliefs.Giacomo Bonanno - 1999 - In Jelle Gerbrandy, Maarten Marx, Maarten de Rijke & Yde Venema (eds.), Essays dedicated to Johan van Benthem on the occasion of his 50th birthday. Amsterdam University Press.
    Since Lewis’s (1969) and Aumann’s (1976) pioneering contributions, the concepts of common knowledge and common belief have been discussed extensively in the literature, both syntactically and semantically1. At the individual level the difference between knowledge and belief is usually identified with the presence or absence of the Truth Axiom ( iA → A), which is interpreted as ”if individual i believes that A, then A is true”. In such a case the individual is often said to know that A (thus (...)
    Download  
     
    Export citation  
     
    Bookmark  
  • On the Logic of Common Belief.Giacomo Bonanno - 1996 - Mathematical Logic Quarterly 42 (1):305-311.
    We investigate an axiomatization of the notion of common belief that makes use of no rules of inference and highlight the property of the set of accessibility relations that characterizes each axiom.
    Download  
     
    Export citation  
     
    Bookmark   7 citations  
  • Synchronic Information, Knowledge and Common Knowledge in Extensive Games.Giacomo Bonanno - 1999 - Research in Economics 53 (1):77-99.
    Restricting attention to the class of extensive games defined by von Neumann and Morgenstern with the added assumption of perfect recall, we specify the information of each player at each node of the game-tree in a way which is coherent with the original information structure of the extensive form. We show that this approach provides a framework for a formal and rigorous treatment of questions of knowledge and common knowledge at every node of the tree. We construct a particular information (...)
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Common Knowledge Logic and Game Logic.Mamoru Kaneko - 1999 - Journal of Symbolic Logic 64 (2):685-700.
    We show the faithful embedding of common knowledge logic CKL into game logic GL, that is, CKL is embedded into GL and GL is a conservative extension of the fragment obtained by this embedding. Then many results in GL are available in CKL, and vice versa. For example, an epistemic consideration of Nash equilibrium for a game with pure strategies in GL is carried over to CKL. Another important application is to obtain a Gentzen-style sequent calculus formulation of CKL and (...)
    Download  
     
    Export citation  
     
    Bookmark   2 citations  
  • Strong Completeness Theorems for Weak Logics of Common Belief.Lismont Luc & Mongin Philippe - 2003 - Journal of Philosophical Logic 32 (2):115-137.
    We show that several logics of common belief and common knowledge are not only complete, but also strongly complete, hence compact. These logics involve a weakened monotonicity axiom, and no other restriction on individual belief. The semantics is of the ordinary fixed-point type.
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  • The Epistemic Structure of a Theory of a Game.Michael Bacharach - 1994 - Theory and Decision 37 (1):7-48.
    Download  
     
    Export citation  
     
    Bookmark   5 citations  
  • Representing the Knowledge of Turing Machines.Hyun Song Shin & Timothy Williamson - 1994 - Theory and Decision 37 (1):125-146.
    Download  
     
    Export citation  
     
    Bookmark   4 citations  
  • Dynamic Epistemic Logic I: Modeling Knowledge and Belief.Eric Pacuit - 2013 - Philosophy Compass 8 (9):798-814.
    Dynamic epistemic logic, broadly conceived, is the study of logics of information change. This is the first paper in a two-part series introducing this research area. In this paper, I introduce the basic logical systems for reasoning about the knowledge and beliefs of a group of agents.
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  • Reasoning-Based Introspection.Olivier Gossner & Elias Tsakas - 2012 - Theory and Decision 73 (4):513-523.
    We show that if an agent reasons according to standard inference rules, the truth and introspection axioms extend from the set of non-epistemic propositions to the whole set of propositions. This implies that the usual axiomatization of partitional possibility correspondences is redundant, and provides a justification for truth and introspection that is partly based on reasoning.
    Download  
     
    Export citation  
     
    Bookmark  
  • Game Logic and its Applications I.Mamoru Kaneko & Takashi Nagashima - 1996 - Studia Logica 57 (2-3):325 - 354.
    This paper provides a logic framework for investigations of game theoretical problems. We adopt an infinitary extension of classical predicate logic as the base logic of the framework. The reason for an infinitary extension is to express the common knowledge concept explicitly. Depending upon the choice of axioms on the knowledge operators, there is a hierarchy of logics. The limit case is an infinitary predicate extension of modal propositional logic KD4, and is of special interest in applications. In Part I, (...)
    Download  
     
    Export citation  
     
    Bookmark   6 citations  
  • A Sound Interpretation of Minimality Properties of Common Belief in Minimal Semantics.Vittoriomanuele Ferrante - 1996 - Theory and Decision 41 (2):179-185.
    Download  
     
    Export citation  
     
    Bookmark   1 citation  
  • Iterative and Fixed Point Common Belief.Aviad Heifetz - 1999 - Journal of Philosophical Logic 28 (1):61-79.
    We define infinitary extensions to classical epistemic logic systems, and add also a common belief modality, axiomatized in a finitary, fixed-point manner. In the infinitary K system, common belief turns to be provably equivalent to the conjunction of all the finite levels of mutual belief. In contrast, in the infinitary monotonic system, common belief implies every transfinite level of mutual belief but is never implied by it. We conclude that the fixed-point notion of common belief is more powerful than the (...)
    Download  
     
    Export citation  
     
    Bookmark   3 citations  
  • Awareness and Partitional Information Structures.Salvatore Modica & Aldo Rustichini - 1994 - Theory and Decision 37 (1):107-124.
    Download  
     
    Export citation  
     
    Bookmark   22 citations