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We analyze the problem of locating a public facility in a domain of single-peaked and single-dipped preferences when the social planner knows the type of preference (single-peaked or single-dipped) of each agent. Our main result…

理论经济学 · 经济学 2024-04-02 Jorge Alcalde-Unzu , Oihane Gallo , Marc Vorsatz

Social choice functions (SCFs) map the preferences of a group of agents over some set of alternatives to a non-empty subset of alternatives. The Gibbard-Satterthwaite theorem has shown that only extremely restrictive SCFs are strategyproof…

计算机科学与博弈论 · 计算机科学 2022-03-30 Felix Brandt , Martin Bullinger , Patrick Lederer

We study the problem of locating a single facility on a real line based on the reports of self-interested agents, when agents have double-peaked preferences, with the peaks being on opposite sides of their locations. We observe that…

计算机科学与博弈论 · 计算机科学 2015-02-20 Aris Filos-Ratsikas , Minming Li , Jie Zhang , Qiang Zhang

In many real-life scenarios, a group of agents needs to agree on a common action, e.g., on the location for a public facility, while there is some consistency between their preferences, e.g., all preferences are derived from a common metric…

计算机科学与博弈论 · 计算机科学 2018-12-11 Ilan Nehama , Taiki Todo , Makoto Yokoo

We revisit the discrete heterogeneous two-facility location problem, in which there is a set of agents that occupy nodes of a line graph, and have private approval preferences over two facilities. When the facilities are located at some…

计算机科学与博弈论 · 计算机科学 2021-09-10 Panagiotis Kanellopoulos , Alexandros A. Voudouris , Rongsen Zhang

Preference restrictions have played a significant role in computational social choice. This paper studies a framework that connects preference restrictions with classical graph search paradigms. We model candidates as vertices of a graph…

计算机科学与博弈论 · 计算机科学 2026-05-07 Guozhen Rong , Xin Li , Yongjie Yang

Many hard computational social choice problems are known to become tractable when voters' preferences belong to a restricted domain, such as those of single-peaked or single-crossing preferences. However, to date, all algorithmic results of…

计算机科学与博弈论 · 计算机科学 2016-02-12 Edith Elkind , Martin Lackner

We investigate preference domains under which every unanimous and locally strategy-proof social choice function (scf) satisfies dictatorship. We identify a condition on domains called connected with distinct neighbours which is necessary…

理论经济学 · 经济学 2026-03-31 Abinash Panda , Anup Pramanik , Ragini Saxena

In the object reallocation problem, achieving Pareto-efficiency is desirable, but may be too demanding for implementation purposes. In contrast, pair-efficiency, which is the minimal efficiency requirement, is more suitable. Despite being a…

理论经济学 · 经济学 2025-06-19 Pinaki Mandal

We study the impact on mechanisms for facility location of moving from one dimension to two (or more) dimensions and Euclidean or Manhattan distances. We consider three fundamental axiomatic properties: anonymity which is a basic fairness…

人工智能 · 计算机科学 2020-09-18 Toby Walsh

We address the problem of strategyproof (SP) facility location mechanisms on discrete trees. Our main result is a full characterization of onto and SP mechanisms. In particular, we prove that when a single agent significantly affects the…

计算机科学与博弈论 · 计算机科学 2021-02-05 Alina Filimonov , Reshef Meir

We analyze the problem of locating a public facility on a line in a society where agents have either single-peaked or single-dipped preferences. We consider the domain analyzed in Alcalde-Unzu et al. (2024), where the type of preference of…

理论经济学 · 经济学 2025-10-15 Oihane Gallo

Incomplete preferences are likely to arise in real-world preference aggregation scenarios. This paper deals with determining whether an incomplete preference profile is single-peaked. This is valuable information since many intractable…

计算机科学与博弈论 · 计算机科学 2020-04-15 Zack Fitzsimmons , Martin Lackner

A preference profile is single-peaked on a tree if the candidate set can be equipped with a tree structure so that the preferences of each voter are decreasing from their top candidate along all paths in the tree. This notion was introduced…

计算机科学与博弈论 · 计算机科学 2022-01-24 Dominik Peters , Lan Yu , Hau Chan , Edith Elkind

This paper is devoted to a study of single-peakedness on arbitrary graphs. Given a collection of preferences (rankings of a set of alternatives), we aim at determining a connected graph G on which the preferences are single-peaked, in the…

计算机科学与博弈论 · 计算机科学 2020-04-29 Bruno Escoffier , Olivier Spanjaard , Magdaléna Tydrichová

Diffusion mechanism design, which investigate how to incentivise agents to invite as many colleagues to a multi-agent decision making as possible, is a new research paradigm at the intersection between microeconomics and computer science.…

计算机科学与博弈论 · 计算机科学 2024-11-13 Ryoto Ando , Kei Kimura , Taiki Todo , Makoto Yokoo

The purpose of this note is to prove the existence of a randomized mechanism, a social decision scheme (SDS), with desirable fairness, efficiency, and strategyproofness properties unmatched by all known SDSs. In particular, we disprove a…

计算机科学与博弈论 · 计算机科学 2014-11-27 Florian Brandl

Gibbard and Satterthwaite have shown that the only single-valued social choice functions (SCFs) that satisfy non-imposition (i.e., the function's range coincides with its codomain) and strategyproofness (i.e., voters are never better off by…

理论经济学 · 经济学 2023-06-21 Felix Brandt , Patrick Lederer

We consider the problem of locating a facility on a network, represented by a graph. A set of strategic agents have different ideal locations for the facility; the cost of an agent is the distance between its ideal location and the…

计算机科学与博弈论 · 计算机科学 2009-07-14 Noga Alon , Michal Feldman , Ariel D. Procaccia , Moshe Tennenholtz

In two-sided matching markets, ensuring both stability and strategy-proofness poses a significant challenge; it is impossible when agents' preferences are unrestricted. But what if agents' preferences have specific restricted structures?…

理论经济学 · 经济学 2025-07-03 Pinaki Mandal
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