Abstract
The birth (or should we say the re-birth) of voting theory at the end of 18th century in France exemplifies the victory of Condorcet over Borda. This victory was confirmed by the rebirth of voting theory in the 1940s with the magisterial works of Arrow and Black. Only since publications by Dummett, Young and Saari, did Borda systems recover their importance. In this chapter, I will explain how and why this happened. I am grateful to Peter Emerson and Louis Aim. Fono for helpful comments.
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References
See Arrow and Debreu (1954) and Arrow (1951a).
Incidentally, we can avoid this condition of oddity if we only require that the asymmetric component of ≻S, ≻S, be transitive. See Sen (1970) and Sen and Pattanaik (1969).
1974, pp 43–52. Young also wrote a more general paper on scoring rules, see Young (1975).
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Salles, M. (2007). The Theory of Voting and the Borda Systems. In: Emerson, P. (eds) Designing an All-Inclusive Democracy. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33164-3_6
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DOI: https://doi.org/10.1007/978-3-540-33164-3_6
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