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Social choice among complex objects: Mathematical tools


  • Simona Settepanella


Here the reader can find some basic definitions and notations in order to better understand the model for social choise described by L. Marengo and S. Settepanella in their paper: Social choice among complex objects. The interested reader can refer to [Bou68], [Massey] and [OT92] to go into more depth.

Suggested Citation

  • Simona Settepanella, 2010. "Social choice among complex objects: Mathematical tools," LEM Papers Series 2010/01, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
  • Handle: RePEc:ssa:lemwps:2010/01

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    References listed on IDEAS

    1. Fryer Roland & Jackson Matthew O., 2008. "A Categorical Model of Cognition and Biased Decision Making," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 8(1), pages 1-44, February.
    2. Plott, Charles R & Levine, Michael E, 1978. "A Model of Agenda Influence on Committee Decisions," American Economic Review, American Economic Association, vol. 68(1), pages 146-160, March.
    3. Weinberger, Shmuel, 2004. "On the topological social choice model," Journal of Economic Theory, Elsevier, vol. 115(2), pages 377-384, April.
    4. Callander, Steven & Wilson, Catherine H., 2006. "Context-dependent Voting," Quarterly Journal of Political Science, now publishers, vol. 1(3), pages 227-254, July.
    5. Yuliy M. Baryshnikov, 1997. "Topological and discrete social choice: in a search of a theory," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(2), pages 199-209.
    6. repec:cup:apsrev:v:77:y:1983:i:02:p:435-445_24 is not listed on IDEAS
    7. Sendhil Mullainathan & Joshua Schwartzstein & Andrei Shleifer, 2008. "Coarse Thinking and Persuasion," The Quarterly Journal of Economics, Oxford University Press, vol. 123(2), pages 577-619.
    8. Bernholz, Peter, 1974. "Logrolling, Arrow-Paradox and Decision Rules-A Generalization," Kyklos, Wiley Blackwell, vol. 27(1), pages 49-62.
    9. Luigi Maregno & Corrado Pasquali, 2008. "A computational voting model," LEM Papers Series 2008/24, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    10. repec:cup:apsrev:v:95:y:2001:i:02:p:415-433_00 is not listed on IDEAS
    11. Chichilnisky, Graciela, 1983. "Social choice and game theory: recent results with a topological approach," MPRA Paper 8059, University Library of Munich, Germany.
    12. Chichilnisky, Graciela, 1980. "Social choice and the topology of spaces of preferences," MPRA Paper 8006, University Library of Munich, Germany.
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    Arrangements; simplicial complexes; CW complexes; fundamental group; Salvetti's complex.;

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