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Conclusion

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Book cover Reasoning about Preference Dynamics

Part of the book series: Synthese Library ((SYLI,volume 354))

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Abstract

This book has presented a uniform logical theory of preference, drawing together ideas from several areas: modal logics of betterness relations, dynamic epistemic logics of information change, and priority-based systems of representing structured relations. Our chapters have added successive components of this theory, showing how it can be developed with logical techniques, suitably adapted to deal with preference structure. The result is a framework that has interesting theoretical features of its own, witness the sequence of technical results in this book on completeness, definability, and other architectural features of our systems. But we can also use the system of this book for analyzing preferences in a wide variety of fields, from epistemology and ethics to computer science and game theory. The evidence for this so far consists in a few case studies on deontic reasoning and on games in our final chapters, while we would also mention the use of our techniques in modeling beliefs and belief revision, thanks to the analogy between betterness and plausibility relations.

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References

  1. Andréka, H., M. Ryan, and P-Y. Schobbens. 2002. Operators and laws for combining preferential relations. Journal of Logic and Computation 12:12–53.

    Article  Google Scholar 

  2. Aucher, G. 2003. A combined system for update logic and belief revision. Master’s thesis, MoL-2003-03. ILLC, University of Amsterdam.

    Google Scholar 

  3. Baltag, A., and S. Smets. 2006. Dynamic belief revision over multi-agent plausibility models. In Proceedings of the 7th conference on logic and the foundations of game and decision theory (LOFT 06), Liverpool.

    Google Scholar 

  4. van Benthem, J., J. Gerbrandy, and B. Kooi. 2006. Dynamic update with probabilities. Technical Report, PP-2006-21, ILLC, University of Amsterdam.

    Google Scholar 

  5. van Benthem, J., and E. Pacuit. 2006. The tree of knowledge in action: Towards a common perspective. In Proceedings of advances in modal logic (AiML 2006), eds. G. Governatori, I. Hodkinson, and Y. Venema, 87–106. London: King’s College Publications.

    Google Scholar 

  6. Dégremont, C. 2010. The temporal mind. Observations on the logic of belief change in interactive systems. PhD thesis, ILLC, University of Amsterdam.

    Google Scholar 

  7. Liu, F. 2004. Dynamic variations: Update and revision for diverse agents. Master’s thesis, MoL-2004-05. ILLC, University of Amsterdam.

    Google Scholar 

  8. Renne, B., J. Sack, and A. Yap. 2009. Dynamic epistemic temporal logic. In Proceedings of the 2nd international workshop on logic, rationality and interaction (LORI 2009), eds. J. Horry X. He and E. Pacuit, volume 5834 of FoLLI-LNAI, 263–277. Springer: Heidelberg.

    Chapter  Google Scholar 

  9. Sack, J. 2009. Extending probabilistic dynamic epistemic logic. Synthese 169(2):241–257.

    Article  Google Scholar 

  10. Seligman, J., F. Liu, and P. Girard. 2011. Logic in the community. In Proceedings of the 4th Indian conference on logic and its applications, eds. M. Banerjee and A. Seth, volume 6521 of LNCS, 178–188. Berlin: Springer.

    Chapter  Google Scholar 

  11. Velazquez-Quesada, F.R. 2011. Small steps in dynamics of information. PhD thesis, ILLC, University of Amsterdam.

    Google Scholar 

  12. Yap, A. 2006. Product update and looking backward. Technical Report, PP-2006-39, ILLC, University of Amsterdam.

    Google Scholar 

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Correspondence to Fenrong Liu .

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Liu, F. (2011). Conclusion. In: Reasoning about Preference Dynamics. Synthese Library, vol 354. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-1344-4_13

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