### Abstract

We study the problem of providing multiple but identical public goods as "options" to agents with single-peaked preferences, a problem introduced by [Miyagawa, E., 1998a. Mechanisms for providing a menu of public goods. Ph.D. dissertation, University of Rochester]. For every feasible interval of locations and every preference profile, a solution chooses m locations for the m public goods. Each location is an option and each agent selects his most preferred option. For m=2 [Moulin, H., 1984. Generalized Concorcet-winners for single-peaked preferences and single-plateaued preferences, Social Choice and Welfare 1, 127-147] studies Nash's and Arrow's Independence of Irrelevant Alternatives (IIA). We show that for m=2 the 'extreme peaks' solution is the only solution satisfying Pareto-optimality, Nash's IIA, Arrow's IIA, and interval continuity. We also show that for m greater than or equal to3, Pareto-optimality and interval continuity are incompatible.

Original language | English |
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Pages (from-to) | 239-250 |

Journal | Mathematical Social Sciences |

Volume | 41 |

DOIs | |

Publication status | Published - 1 Jan 2001 |

## Cite this

Ehlers, L. H. (2001). Independence Axioms for the Provision of Multiple Public Goods as Options.

*Mathematical Social Sciences*,*41*, 239-250. https://doi.org/10.1016/S0165-4896(00)00059-7