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Choix social et partage équitable : Une analyse mathématique a posteriori des élections législatives et présidentielles de 2006 et 2011 en RDC
[Social choice and fair sharing: An a posteriori mathematical analysis of legislative and presidential elections in the Democratic Republic of the Congo in 2006 and 2011]

Author

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  • Ngoie, Ruffin-Benoit M.

Abstract

The purpose of this master thesis is to have in a simple and detailed way the significant results of social choice theory and to study the resource sharing (goods or responsibilities) between petitioning agents in a proof of election. While analyzing social choice functions more insight, we present for each of them, with supporting examples, the difficulties and insufficiencies related to the aggregation of the individual preferences of each community member. We then have some theoretical results allowing the understanding of the nature and the magnitude of these difficulties. In addition, we study the situation of African societies in general, and that of the Democratic Republic of Congo in particular, therefore sort out social choice function which is the most appropriate to them. Meanwhile, we take into account the fair distribution of goods and work for the common benefit of society members, which is the guarantee of welfare for individuals, stability and social peace. These are social values seldom found in Africa. We finally study the properties of the recommended social choice function and possibly present its strength and weaknesses, its advantages and disadvantages when used as a mode of poll.

Suggested Citation

  • Ngoie, Ruffin-Benoit M., 2012. "Choix social et partage équitable : Une analyse mathématique a posteriori des élections législatives et présidentielles de 2006 et 2011 en RDC [Social choice and fair sharing: An a posteriori mathe," MPRA Paper 64915, University Library of Munich, Germany.
    • Handle: RePEc:pra:mprapa:64915
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    References listed on IDEAS

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    1. Jean-François Laslier, 2004. "Strategic Approval Voting in a large electorate," Working Papers hal-00242909, HAL.
    2. Greenberg, Joseph, 1979. "Consistent Majority Rules over Compact Sets of Alternatives," Econometrica, Econometric Society, vol. 47(3), pages 627-636, May.
    3. Ordeshook,Peter C., 1986. "Game Theory and Political Theory," Cambridge Books, Cambridge University Press, number 9780521315937.
    4. Sugden, Robert, 1985. "Liberty, Preference, and Choice," Economics and Philosophy, Cambridge University Press, vol. 1(2), pages 213-229, October.
    5. Shepsle, Kenneth A., 1972. "The Strategy of Ambiguity: Uncertainty and Electoral Competition," American Political Science Review, Cambridge University Press, vol. 66(2), pages 555-568, June.
    6. Marc Fleurbaey & Philippe Mongin, 2005. "The news of the death of welfare economics is greatly exaggerated," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(2), pages 381-418, December.
    7. Amartya Sen, 1999. "La possibilité du choix social [Conférence Nobel]," Revue de l'OFCE, Programme National Persée, vol. 70(1), pages 7-61.
    8. Jean-François Laslier, 1999. "La norme majoritaire," Revue Économique, Programme National Persée, vol. 50(4), pages 669-698.
    9. Page, Benjamin I., 1976. "The Theory of Political Ambiguity," American Political Science Review, Cambridge University Press, vol. 70(3), pages 742-752, September.
    10. Salvador Barberà, 2001. "An introduction to strategy-proof social choice functions," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 18(4), pages 619-653.
    11. Gibbard, Allan, 1974. "A Pareto-consistent libertarian claim," Journal of Economic Theory, Elsevier, vol. 7(4), pages 388-410, April.
    12. Sen, Amartya Kumar, 1970. "The Impossibility of a Paretian Liberal," Scholarly Articles 3612779, Harvard University Department of Economics.
    13. 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..
    14. Jean-François Laslier, 2006. "Ambiguity in Electoral Competition," Economics of Governance, Springer, vol. 7(2), pages 195-210, May.
    15. Balasko, Yves & Cres, Herve, 1997. "The Probability of Condorcet Cycles and Super Majority Rules," Journal of Economic Theory, Elsevier, vol. 75(2), pages 237-270, August.
    16. Steven Brams & Peter Fishburn, 2005. "Going from theory to practice: the mixed success of approval voting," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 25(2), pages 457-474, December.
    17. K. J. Arrow & A. K. Sen & K. Suzumura (ed.), 2002. "Handbook of Social Choice and Welfare," Handbook of Social Choice and Welfare, Elsevier, edition 1, volume 1, number 1.
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    1. Ngoie, Ruffin-Benoît M. & Ulungu, Berthold E.-L., 2013. "Choix social et préférence collective : analyse a posteriori de l’élection présidentielle de 2011 en République Démocratique du Congo [Social choice and collective value: A posteriori analysis of 2," MPRA Paper 64538, University Library of Munich, Germany, revised 08 Jan 2015.

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    More about this item

    Keywords

    Aggregation – Elections – Shares – Social choice theory – Social choice function;

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • D74 - Microeconomics - - Analysis of Collective Decision-Making - - - Conflict; Conflict Resolution; Alliances; Revolutions
    • I31 - Health, Education, and Welfare - - Welfare, Well-Being, and Poverty - - - General Welfare, Well-Being

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