RT Journal Article
T1 Nash implementation of supermajority rules
A1 Amorós-González, Pablo
K1 Probabilidades
K1 Selección de personal
AB A committee of n experts from a university department must choose whom to hire from a set of m candidates. Their honest judgments about the best candidate must be aggregated to determine the socially optimal candidates. However, experts’ judgments are not verifiable. Furthermore, the judgment of each expert does not necessarily determine his preferences over candidates. To solve this problem, a mechanism that implements the socially optimal aggregation rule must be designed. We show that the smallest quota q compatible with the existence of a q-supermajoritarian and Nash implementable aggregation rule is A committee of n experts from a university department must choose whom to hire from a set of m candidates. Their honest judgments about the best candidate must be aggregated to determine the socially optimal candidates. However, experts’ judgments are not verifiable. Furthermore, the judgment of each expert does not necessarily determine his preferences over candidates. To solve this problem, a mechanism that implements the socially optimal aggregation rule must be designed. We show that the smallest quota q compatible with the existence of a q-supermajoritarian and Nash implementable aggregation rule is q = n −⌊n−1m⌋. Moreover, for such a rule to exist, there must be at least m ⌊n−1 m⌋+ 1 impartial experts with respect to each pair of candidates.
PB Springer Nature
YR 2024
FD 2024-02-23
LK https://hdl.handle.net/10630/30761
UL https://hdl.handle.net/10630/30761
LA eng
NO Amorós, P. Nash implementation of supermajority rules. Int J Game Theory (2024). https://doi.org/10.1007/s00182-024-00888-1
NO Funding for open access charge: Universidad de Málaga/CBUA.Financial assistance from Ministerio de Ciencia e Innovación under project PID2020-114309GB-I00 and Junta de Andalucía under project P18-FR-2933 is gratefully acknowledged.
DS RIUMA. Repositorio Institucional de la Universidad de Málaga
RD 19 ene 2026