Distortion in social choice problems: The first 15 years and beyond
The notion of distortion in social choice problems has been defined to measure the loss in
efficiency--typically measured by the utilitarian social welfare, the sum of utilities of the …
efficiency--typically measured by the utilitarian social welfare, the sum of utilities of the …
Breaking the metric voting distortion barrier
We consider the following well studied problem of metric distortion in social choice. Suppose
we have an election with n voters and m candidates who lie in a shared metric space. We …
we have an election with n voters and m candidates who lie in a shared metric space. We …
Distortion in metric matching with ordinal preferences
Suppose that we have n agents and n items which lie in a shared metric space. We would
like to match the agents to items such that the total distance from agents to their matched …
like to match the agents to items such that the total distance from agents to their matched …
[HTML][HTML] Improved metric distortion via threshold approvals
We consider a social choice setting in which agents and alternatives are represented by
points in a metric space, and the cost of an agent for an alternative is the distance between …
points in a metric space, and the cost of an agent for an alternative is the distance between …
Don't roll the dice, ask twice: the two-query distortion of matching problems and beyond
In most social choice settings, the participating agents express their preferences over the
different alternatives in the form of linear orderings. While this clearly simplifies preference …
different alternatives in the form of linear orderings. While this clearly simplifies preference …
Ordinal approximation for social choice, matching, and facility location problems given candidate positions
In this work, we consider general facility location and social choice problems, in which sets
of agents A and facilities F are located in a metric space, and our goal is to assign agents to …
of agents A and facilities F are located in a metric space, and our goal is to assign agents to …
Metric-distortion bounds under limited information
In this work, we study the metric distortion problem in voting theory under a limited amount of
ordinal information. Our primary contribution is threefold. First, we consider mechanisms that …
ordinal information. Our primary contribution is threefold. First, we consider mechanisms that …
Utilitarians without utilities: Maximizing social welfare for graph problems using only ordinal preferences
We consider ordinal approximation algorithms for a broad class of utility maximization
problems for multi-agent systems. In these problems, agents have utilities for connecting to …
problems for multi-agent systems. In these problems, agents have utilities for connecting to …
Impartial selection and the power of up to two choices
We study mechanisms that select members of a set of agents based on nominations by other
members and that are impartial in the sense that agents cannot influence their own chance …
members and that are impartial in the sense that agents cannot influence their own chance …
A few queries go a long way: Information-distortion tradeoffs in matching
Abstract We consider the One-Sided Matching problem, where n agents have preferences
over n items, and these preferences are induced by underlying cardinal valuation functions …
over n items, and these preferences are induced by underlying cardinal valuation functions …