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Impossibility Theorems In Multiple Von Wright’S Preference Logic

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  • Branislav Boricic

Abstract

By using the standard combining logics technique (D. M. Gabbay 1999) we define a generalization of von Wright’s preference logic (G. H. von Wright 1963) enabling to express, on an almost propositional level, the individual and the social preference relations simultaneously. In this context we present and prove the counterparts of crucial results of the Arrow-Sen social choice theory, including impossibility theorems (K. Arrow 1951 and A. K. Sen 1970b), as well as some logical interdependencies between the dictatorship condition and the Pareto rule, and thus demonstrate the power and applicability of combining logics method in mathematical economics.

Suggested Citation

  • Branislav Boricic, 2014. "Impossibility Theorems In Multiple Von Wright’S Preference Logic," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 59(201), pages 69-84, April – J.
    • Handle: RePEc:beo:journl:v:59:y:2014:i:201:p:69-84
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    References listed on IDEAS

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    1. Chichilnisky, Graciela, 1982. "The topological equivalence of the pareto condition and the existence of a dictator," Journal of Mathematical Economics, Elsevier, vol. 9(3), pages 223-233, March.
    2. Sen, Amartya, 1995. "Rationality and Social Choice," American Economic Review, American Economic Association, vol. 85(1), pages 1-24, March.
    3. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    4. Sen, Amartya, 1970. "The Impossibility of a Paretian Liberal," Journal of Political Economy, University of Chicago Press, vol. 78(1), pages 152-157, Jan.-Feb..
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    Cited by:

    1. Branislav Boričić, 2023. "A Note On Dictatorship, Liberalism And The Pareto Rule," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 68(238), pages 115-119, July – Se.
    2. Ritesh Jain, 2015. "A Note On The Arrow’S Impossibility Theorem," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 60(207), pages 39-48, September.

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    More about this item

    Keywords

    impossibility theorems; social choice; preference logic; combining logics;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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