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Giacomo Bonanno
Working Papers

You can download an electronic copy of each of the following Working Papers  in  PDF format


 

Giacomo Bonanno,    AGM-consistent beliefs over time

Abstract.

In previous work [Bonanno, G., Axiomatic characterization of AGM belief revision in a temporal logic, Artificial Intelligence, 171 (2007), 144-160] belief change over time was modeled by means of branching-time structures; a corresponding modal logic with operators for next-time, information and belief was proposed and some aspects of the relationship between this logic and the AGM theory of belief revision were discussed. In this paper we establish a stronger correspondence between the semantics of temporal belief revision frames and AGM belief revision. The addition of a valuation to a temporal belief revision frame gives rise - for every state-instant pair (w,t)- to a belief set K (at (w,t)) and a partial belief revision function based on K (constructed from the beliefs at the immediate successors of t and at state w). We investigate under what conditions such a partial belief revision function can be extended to a full AGM revision function. We find that a necessary and sufficient condition(when the set of states
W is finite) is that there exist a total pre-order R of W that rationalizes belief revision at (w,t), in the sense that at t and at the immediate successors of t (and at state w) the states that the agent considers possible are the R-maximal states among the ones that are compatible with the information received. We also provide a set of axioms that characterizes this class of temporal belief revision frames.

                             To download the files in pdf format click here: Plaus.pdf

Giacomo Bonanno,   Two lectures on the epistemic foundations of game theory

Abstract.

These are the slides of  two lectures on the Epistemic Foundations of Game Theory, delivered at the Royal Netherlands Academy of Arts and Sciences (KNAW), February 8, 2007.

                             To download the files in pdf format click here: Lecture 1.pdf ,  Lecture 2.pdf

 Giacomo Bonanno (with Klaus Nehring),   Agreeing to disagree: a survey.

                             To download the paper in pdf format click here: agree.pdf

Some of the material in this paper was published in: Giacomo Bonanno and Klaus Nehring, “How to make sense of the common prior assumption under incomplete
      information", International Journal of Game Theory, 28 (3), August 1999, pp. 409-434 (To download the paper in pdf format click here: common.pdf)


 
 

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