We propose a modal logic based on three operators, representing intial
beliefs, information and revised beliefs. Three simple axioms are used
to provide a sound and complete axiomatization of the qualitative part
of Bayes’ rule. Some theorems of this logic are derived concerning the
interaction between current beliefs and future beliefs. Information flows
and iterated revision are also discussedmodel logic, beliefs

Giacomo Bonanno

Research Papers in Economics

English

A semantical analysis of modal logic I: normal propositional calculi,

Belief revision: a critique,

Betting on theories,

Conditionalization and expected utility,

Dynamic epistemic logic, working paper,

Dynamic interactive epistemology,

Game theory,

information acquisition, and trust in multi-agent systems - A modal logic formulation,

Iteration of conditionals and the Ramsey test,

Knowledge and belief,

Knowledge in ﬂux: modeling the dynamics of epistemic states,

Modal logic, Cambridge Univ e r s i t yP r e s s

Modal logic: an introduction,

On the logic of theory change: partial meet contraction and revision functions, The Journal of Symbolic Logic,

On the modal logic of theory change,

Perfect Bayesian equilibrium and sequential equilibrium,

Rational belief equilibria, Economic Notes,

Rationality and knowledge in game theory,

Recent results on belief, knowledge and the epistemic foundations of game theory, Research in Economics,

Reﬂective modalities and theory change,

Scientiﬁc reasoning,

Strategic independence and perfect Bayesian equilibria,

Systems for knowledge and belief,

Taking belief bases seriously,

The logic of decision, 2nd edition,

Two methods of constructing contractions and revisions of knowledge systems,

Two traditions in the logic of belief: bringing them together,

Using the universal modality: gains and questions,

A simple modal logic for belief revision