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Given the final ranking of a competition, how should the total prize endowment be allocated among the competitors? We study consistent prize allocation rules satisfying elementary solidarity and fairness principles. In particular, we…

Computer Science and Game Theory · Computer Science 2022-09-09 Bas J. Dietzenbacher , Aleksei Y. Kondratev

Scoring rules serve to quantify predictive performance. A scoring rule is proper if truth telling is an optimal strategy in expectation. Subject to customary regularity conditions, every scoring rule can be made proper, by applying a…

Statistics Theory · Mathematics 2020-04-30 Jonas Brehmer , Tilmann Gneiting

This paper examines the optimal organizational rules that govern the process of dividing a fixed surplus. The process is modeled as a sequential multilateral bargaining game with costly recognition. The designer sets the voting rule --…

Theoretical Economics · Economics 2024-11-14 Qiang Fu , Zenan Wu , Yuxuan Zhu

We present a new model of collective decision making that captures important crowd-funding and donor coordination scenarios. In the setting, there is a set of projects (each with its own cost) and a set of agents (that have their budgets as…

Computer Science and Game Theory · Computer Science 2021-01-29 Haris Aziz , Aditya Ganguly

We consider fair allocation of indivisible items under an additional constraint: there is an undirected graph describing the relationship between the items, and each agent's share must form a connected subgraph of this graph. This framework…

Computer Science and Game Theory · Computer Science 2017-06-07 Sylvain Bouveret , Katarína Cechlárová , Edith Elkind , Ayumi Igarashi , Dominik Peters

We study the problem of fairly allocating a set of indivisible goods to multiple agents and focus on the proportionality, which is one of the classical fairness notions. Since proportional allocations do not always exist when goods are…

Computer Science and Game Theory · Computer Science 2023-04-12 Yusuke Kobayashi , Ryoga Mahara

Respecting minority opinions is vital in solving social problems. However, minority opinions are often ignored in general majority rules. To build consensus on pluralistic values and make social choices that consider minority opinions, we…

General Economics · Economics 2021-02-24 Takeshi Kato , Yasuhiro Asa , Misa Owa

We consider the following problem in which a given number of items has to be chosen from a predefined set. Each item is described by a vector of attributes and for each attribute there is a desired distribution that the selected set should…

Artificial Intelligence · Computer Science 2021-03-29 Jerome Lang , Piotr Skowron

Proportionality is an attractive fairness concept that has been applied to a range of problems including the facility location problem, a classic problem in social choice. In our work, we propose a concept called Strong Proportionality,…

Computer Science and Game Theory · Computer Science 2022-06-15 Haris Aziz , Alexander Lam , Mashbat Suzuki , Toby Walsh

We propose a framework to assess how to optimally sort and grade students of heterogenous ability. Potential employers face uncertainty regarding an individual's productive value. Knowing which school an individual went to is useful for two…

Theoretical Economics · Economics 2024-02-06 Jacopo Bizzotto , Adrien Vigier

Most work in algorithmic fairness to date has focused on discrete outcomes, such as deciding whether to grant someone a loan or not. In these classification settings, group fairness criteria such as independence, separation and sufficiency…

Machine Learning · Computer Science 2020-02-18 Daniel Steinberg , Alistair Reid , Simon O'Callaghan , Finnian Lattimore , Lachlan McCalman , Tiberio Caetano

Resource allocation problems are a fundamental domain in which to evaluate the fairness properties of algorithms. The trade-offs between fairness and utilization have a long history in this domain. A recent line of work has considered…

Data Structures and Algorithms · Computer Science 2020-10-20 Kate Donahue , Jon Kleinberg

There is arbitrariness in optimum solutions of graph-theoretic problems that can give rise to unfairness. Incorporating fairness in such problems, however, can be done in multiple ways. For instance, fairness can be defined on an individual…

Optimization and Control · Mathematics 2023-11-28 Christopher Hojny , Frits Spieksma , Sten Wessel

We study the linear contextual bandit problem where an agent has to select one candidate from a pool and each candidate belongs to a sensitive group. In this setting, candidates' rewards may not be directly comparable between groups, for…

Machine Learning · Statistics 2022-12-21 Riccardo Grazzi , Arya Akhavan , John Isak Texas Falk , Leonardo Cella , Massimiliano Pontil

Many allocation problems in multiagent systems rely on agents specifying cardinal preferences. However, allocation mechanisms can be sensitive to small perturbations in cardinal preferences, thus causing agents who make ``small" or…

Computer Science and Game Theory · Computer Science 2021-07-13 Vijay Menon , Kate Larson

Single minded agents have strict preferences, in which a bundle is acceptable only if it meets a certain demand. Such preferences arise naturally in scenarios such as allocating computational resources among users, where the goal is to…

Computer Science and Game Theory · Computer Science 2016-04-29 Simina Brânzei , Yuezhou Lv , Ruta Mehta

Several rules for social choice are examined from a unifying point of view that looks at them as procedures for revising a system of degrees of belief in accordance with certain specified logical constraints. Belief is here a social…

Artificial Intelligence · Computer Science 2015-05-06 Rosa Camps , Xavier Mora , Laia Saumell

We study the problem of allocating indivisible goods among agents with additive valuation functions to achieve both fairness and efficiency under the constraint that each agent receives exactly the same number of goods (the \emph{balanced…

Computer Science and Game Theory · Computer Science 2026-03-09 Yasushi Kawase , Ryoga Mahara

This paper studies the design of optimal proper scoring rules when the principal has partial knowledge of an agent's signal distribution. Recent work characterizes the proper scoring rules that maximize the increase of an agent's payoff…

Computer Science and Game Theory · Computer Science 2024-10-15 Yiling Chen , Fang-Yi Yu

Consider a cost-sharing game with players of different contribution to the total cost: an example might be an insurance company calculating premiums for a population of mixed-risk individuals. Two natural and competing notions of fairness…

Computer Science and Game Theory · Computer Science 2021-12-02 Kate Donahue , Solon Barocas