12 found
Order:
  1.  81
    Can Bayes' Rule Be Justified by Cognitive Rationality Principles?Bernard Walliser & Denis Zwirn - 2002 - Theory and Decision 53 (2):95-135.
    The justification of Bayes' rule by cognitive rationality principles is undertaken by extending the propositional axiom systems usually proposed in two contexts of belief change: revising and updating. Probabilistic belief change axioms are introduced, either by direct transcription of the set-theoretic ones, or in a stronger way but nevertheless in the spirit of the underlying propositional principles. Weak revising axioms are shown to be satisfied by a General Conditioning rule, extending Bayes' rule but also compatible with others, and weak updating (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   10 citations  
  2. Sleeping Beauty and the Absent-Minded Driver.Jean Baratgin & Bernard Walliser - 2010 - Theory and Decision 69 (3):489-496.
    The Sleeping Beauty problem is presented in a formalized framework which summarizes the underlying probability structure. The two rival solutions proposed by Elga and Lewis differ by a single parameter concerning her prior probability. They can be supported by considering, respectively, that Sleeping Beauty is “fuzzy-minded” and “blank-minded”, the first interpretation being more natural than the second. The traditional absent -minded driver problem is reinterpreted in this framework and sustains Elga’s solution.
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  3.  32
    Learning Versus Evolution: From Biology to Game Theory.Bernard Walliser - 2011 - Biological Theory 6 (4):311-319.
    Two main schemes explain how a system adapts to its environment. Evolutionary models are grounded on three usual processes acting at the population level. Learning models are concerned with the endogenous search for a better performance at the individual level. The first ones were initially favored by biology and the second well illustrated by game theory. The article examines first how game theory went to evolution and how biology later considered learning. It shows some examples of a hybrid use of (...)
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   4 citations  
  4.  70
    Abductive Logics in a Belief Revision Framework.Bernard Walliser, Denis Zwirn & Hervé Zwirn - 2004 - Journal of Logic, Language and Information 14 (1):87-117.
    Abduction was first introduced in the epistemological context of scientific discovery. It was more recently analyzed in artificial intelligence, especially with respect to diagnosis analysis or ordinary reasoning. These two fields share a common view of abduction as a general process of hypotheses formation. More precisely, abduction is conceived as a kind of reverse explanation where a hypothesis H can be abduced from events E if H is a good explanation of E. The paper surveys four known schemes for abduction (...)
    Direct download (5 more)  
     
    Export citation  
     
    Bookmark   5 citations  
  5.  3
    Analogical Reasoning as an Inference Scheme.Bernard Walliser, Denis Zwirn & Hervé Zwirn - 2022 - Dialogue 61 (2):203-223.
    RésuméEn dépit de son importance dans divers domaines, le raisonnement analogique n'a pas encore reçu de représentation formelle unifiée. Notre contribution propose un schéma d'inférence général, compatible avec différentes logiques. Premièrement, un énoncé analogique définit précisément la similarité entre deux objets en fonction de leurs propriétés, de façon relative et non absolue. Deuxièmement, une inférence analogique transfère une propriété nouvelle d'un objet à un objet similaire, grâce à une hypothèse d'arrière-plan qui relie deux ensembles de propriétés. Le degré de croyance (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  6.  2
    Le Raisonnement Par Analogie Considéré Comme Un Schéma D'Inférence.Bernard Walliser, Denis Zwirn & Hervé Zwirn - 2022 - Dialogue 61 (2):225-248.
    Despite its importance in various fields, analogical reasoning has not yet received a unified formal representation. Our contribution proposes a general scheme of inference that is compatible with different types of logic. Firstly, analogical assessment precisely defines the similarity of two objects according to their properties, in a relative rather than absolute way. Secondly, analogical inference transfers a new property from one object to a similar one, thanks to an over-hypothesis linking two sets of properties. The belief strength in the (...)
    No categories
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  7.  31
    A Simplified Taxonomy of 2 X 2 Games.Bernard Walliser - 1988 - Theory and Decision 25 (2):163.
  8. What Roles for Mathematics in Economics? A Review of E. Roy Weintraub's How Economics Became a Mathematical Science.Bernard Walliser - 2003 - Journal of Economic Methodology 10 (3):417-419.
  9.  23
    Stubborn Learning.Jean-François Laslier & Bernard Walliser - 2015 - Theory and Decision 79 (1):51-93.
    The paper studies a specific adaptive learning rule when each player faces a unidimensional strategy set. The rule states that a player keeps on incrementing her strategy in the same direction if her utility increased and reverses direction if it decreased. The paper concentrates on games on the square [0,1]×[0,1]\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$[0,1]\times [0,1]$$\end{document} as mixed extensions of 2×2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$2\times 2$$\end{document} games. We study in general the (...)
    Direct download (2 more)  
     
    Export citation  
     
    Bookmark  
  10.  16
    Emergent Phenomena.Bernard Walliser - 2009 - In Maryvonne Gérin & Marie-Christine Maurel (eds.), Origins of Life: Self-Organization and/or Biological Evolution? Edp Sciences. pp. 95--104.
    Direct download  
     
    Export citation  
     
    Bookmark  
  11.  33
    Instrumental Rationality and Cognitive Rationality.Bernard Walliser - 1989 - Theory and Decision 27 (1-2):7-36.
    Direct download (3 more)  
     
    Export citation  
     
    Bookmark   1 citation  
  12.  2
    Epistemic Logic and Game Theory.Bernard Walliser - 1992 - In Cristina Bicchieri, Dalla Chiara & Maria Luisa (eds.), Knowledge, Belief, and Strategic Interaction. Cambridge University Press. pp. 197.