A new axiomatic approach to the impartial nomination problem. (English) Zbl 1478.91092
Summary: In this paper we introduce a new set of axioms that characterize uniform random dictatorship (URD) as a randomized impartial nomination rule. Unlike earlier work we use a variable population model which allows us to employ axioms that reflect consistency and proportionality-axioms that ensure that the rule behaves well with respect to the combinatorial structure of the nomination profile. Earlier work characterizing URD employed strong symmetry axioms and so it is surprising that our axioms characterize the same rule.
MSC:
| 91B32 | Resource and cost allocation (including fair division, apportionment, etc.) |
References:
| [1] | Bondy, J. A.; Murty, U. S.R., Graph Theory, Graduate Texts in Mathematics, vol. 244 (2008), Springer: Springer Berlin · Zbl 1134.05001 |
| [2] | Holzman, R.; Moulin, H., Impartial nominations for a prize, Econometrica, 81, 173-196 (2013) · Zbl 1274.91177 |
| [3] | Mackenzie, A., Symmetry and impartial lotteries, Games Econ. Behav., 94, 15-28 (2015) · Zbl 1347.91133 |
| [4] | Thomson, W., Consistency and its converse: an introduction, Rev. Econ. Des., 15, 257-291 (2011) · Zbl 1233.91163 |
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