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On a compromise social choice correspondence

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Abstract

This paper analyzes the compromise social choice correspondence derived from the τ-value of digraph games. Monotonicity of this correspondence is shown. A connection between several properties of social choice correspondences based on game theoretical solutions and game theoretical properties of the underlying solutions is given. Applications to several game theoretic solutions are provided.

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References

  • Banzhaf J.F. (1965). Weighted voting doesn’t work: A mathematical analysis.Rutgers Law Review 19, 317–343.

    Google Scholar 

  • Borm P., Brink R. van den, Levínsky R. and M. Slikker (2000). On two new social choice correspondences. CentER DP 2000-125, Tilburg University, Tilburg, The Netherlands. To appear in Mathematical Social Sciences.

    Google Scholar 

  • Brink R. van den and Borm P. (1994). Digraph competitions and cooperative games. CentER DP 9424, Tilburg University, Tilburg, The Netherlands. To appear in Theory and Decision.

    Google Scholar 

  • Fishburn P.C. (1977). Condorcet social choice functions.SIAM Journal on Applied Mathematics 33, 464–489.

    Article  Google Scholar 

  • Laslier J.F. (1997).Tournament Solutions and Majority Voting. Springer-Verlag.

  • Quant M., Borm P., Reijnierse H. and Voorneveld M. (2002). Characterizations of solutions in digraph competitions. CentER DP 2002-113, Tilburg University, Tilburg, The Netherlands.

    Google Scholar 

  • Shapley L.S. (1953). A value for n-person games.Annals of Mathematics Studies 28, 307–317.

    Google Scholar 

  • Tijs S.H. (1981). Bounds for the core and the τ-value. In: Moeschlin O. and Pallaschke D. (eds.),Game Theory and Mathematical Economics. North-Holland, 123–132.

  • Tijs S.H. (1987). An axiomatization of the τ-value.Mathematical Social Sciences 13, 177–181.

    Article  Google Scholar 

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Quant, M., Borm, P., Reijnierse, H. et al. On a compromise social choice correspondence. Top 11, 311–324 (2003). https://doi.org/10.1007/BF02579047

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  • DOI: https://doi.org/10.1007/BF02579047

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