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Sufficientarian Propositional Belief Merging

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Multi-Agent Systems and Agreement Technologies (EUMAS 2016, AT 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10207))

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Abstract

In this paper, we will introduce the theory of sufficientarianism in belief merging. Originally, there are two main subclasses of belief merging operators: majority operators which are related to the theory of utilitarianism, and arbitration operators which are related to egalitarianism. We will show that sufficientarianism brings novelties to the area by satisfying new logical postulates different from those satisfied by majority or arbitration operators.

This research is supported by CNPq and CAPES.

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References

  1. Alcantud, J.C.R.: Non-interference and continuity: impossibility results for the evaluation of infinite utility streams. Technical report, p. 13 (2011)

    Google Scholar 

  2. Allison, P.D.: Measures of inequality. Am. Sociol. Rev. 43(6), 865–880 (1978). http://www.jstor.org/stable/2094626

    Article  Google Scholar 

  3. Cappelen, A.W., Tungodden, B.: A liberal egalitarian paradox. Econ. Philos. 22, 393–408 (2006)

    Article  Google Scholar 

  4. Dalal, M.: Investigations into a theory of knowledge base revision. In: Proceedings of the Seventh American National Conference on Artificial Intelligence (AAAI 1988), pp. 475–479 (1988)

    Google Scholar 

  5. Everaere, P., Konieczny, S., Marquis, P.: On egalitarian belief merging. In: AAAI (2014)

    Google Scholar 

  6. Frankfurt, H.: Equality as a moral ideal. Ethics 98(1), 21–43 (1987)

    Article  Google Scholar 

  7. Hirose, I.: Axiological sufficientarianism. In: Fourie, C., Annette, R. (eds.) How Much is Enough? Sufficiency and Thresholds in Health Care (2014)

    Google Scholar 

  8. Konieczny, S., Lang, J., Marquis, P.: DA\(^2\) merging operators. Artif. Intell. 157(1–2), 49–79 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  9. Konieczny, S., Pino-Pérez, R.: Merging with integrity constraints. In: Hunter, A., Parsons, S. (eds.) ECSQARU 1999. LNCS, vol. 1638, pp. 233–244. Springer, Heidelberg (1999). doi:10.1007/3-540-48747-6_22

    Chapter  Google Scholar 

  10. Konieczny, S., Pino-Pérez, R.: Merging information under constraints: a logical framework. J. Logic Comput. 12(5), 773–808 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  11. Konieczny, S., Pino-Pérez, R.: On the frontier between arbitration and majority. In: KR, pp. 109–120 (2002)

    Google Scholar 

  12. Konieczny, S., Pino-Pérez, R.: Logic based merging. J. Philos. Logic 40(2), 239–270 (2011)

    Article  MathSciNet  MATH  Google Scholar 

  13. Lin, J., Mendelzon, A.O.: Merging databases under constraints. Int. J. Coop. In. Syst. 7, 55–76 (1996)

    Article  Google Scholar 

  14. Lombardi, M., Miyagishima, K., Veneziani, R.: Liberal egalitarianism and the harm principle. MPRA paper, University Library of Munich, Germany (2013). http://EconPapers.repec.org/RePEc:pra:mprapa:48458

  15. Moulin, H.: Axioms of Cooperative Decision Making, Econometric Society Monographs, vol. 15. Cambridge University Press, Cambridge (1988)

    Book  MATH  Google Scholar 

  16. Revesz, P.Z.: On the semantics of theory change: arbitration between old and new information. In: Proceedings of the 12th ACM SIGACT-SIGMOD-SIGART Symposium on Principles of Database Systems, pp. 71–82. ACM (1993)

    Google Scholar 

  17. Savage, L.: The Foundations of Statistics. Wiley, New York (1954)

    MATH  Google Scholar 

  18. Sen, A.: On Economic Inequality. Clarendon Press, Oxford (1973)

    Book  Google Scholar 

  19. Tungodden, B.: Egalitarianism: is leximin the only option? Working papers, Norwegian School of Economics and Business Administration (1999). http://EconPapers.repec.org/RePEc:fth:norgee:4/99

  20. Vallentyne, P.: Sen on sufficiency, priority, and equality. In: Contemporary Philosophy in Focus: Amartya Sen, p. 138 (2010)

    Google Scholar 

  21. Viana, H., Alcântara, J.: Sufficientarian Propositional Belief Merging (proofs) https://db.tt/d7fpHB3g

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Correspondence to Henrique Viana .

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Viana, H., Alcântara, J. (2017). Sufficientarian Propositional Belief Merging. In: Criado Pacheco, N., Carrascosa, C., Osman, N., Julián Inglada, V. (eds) Multi-Agent Systems and Agreement Technologies. EUMAS AT 2016 2016. Lecture Notes in Computer Science(), vol 10207. Springer, Cham. https://doi.org/10.1007/978-3-319-59294-7_35

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  • DOI: https://doi.org/10.1007/978-3-319-59294-7_35

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-59293-0

  • Online ISBN: 978-3-319-59294-7

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