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The core is a central solution concept in cooperative game theory, defined as the set of feasible allocations or payments such that no subset of agents has incentive to break away and form their own subgroup or coalition. However, it has…

In this paper we discuss the problems of modern representative democracy and we look at the selection of legislators by lot as a way to tame some of the drawbacks of that system. It is recalled at the beginning that resorting to sortition…

Physics and Society · Physics 2019-02-26 Maurizio Caserta , Alessandro Pluchino , Andrea Rapisarda , Salvatore Spagano

The assignment game is a classical model for profit sharing and a cornerstone of cooperative game theory. While an imputation in its core guarantees fairness among coalitions, it provides no fairness guarantee at the level of individual…

Computer Science and Game Theory · Computer Science 2025-11-21 Vijay V. Vazirani

Selective regression allows abstention from prediction if the confidence to make an accurate prediction is not sufficient. In general, by allowing a reject option, one expects the performance of a regression model to increase at the cost of…

Machine Learning · Computer Science 2022-07-18 Abhin Shah , Yuheng Bu , Joshua Ka-Wing Lee , Subhro Das , Rameswar Panda , Prasanna Sattigeri , Gregory W. Wornell

In evolutionary algorithms, the fitness of a population increases with time by mutating and recombining individuals and by a biased selection of more fit individuals. The right selection pressure is critical in ensuring sufficient…

Neural and Evolutionary Computing · Computer Science 2007-05-23 Marcus Hutter , Shane Legg

Sorting algorithms are fundamental to computer science, and their correctness criteria are well understood as rearranging elements of a list according to a specified total order on the underlying set of elements. As mathematical functions,…

Logic in Computer Science · Computer Science 2025-12-09 Vikraman Choudhury , Wind Wong

We address the problem of selecting $k$ representative nodes from a network, aiming to achieve two objectives: identifying the most influential nodes and ensuring the selection proportionally reflects the network's diversity. We propose two…

Computer Science and Game Theory · Computer Science 2026-05-21 Georgios Papasotiropoulos , Oskar Skibski , Piotr Skowron , Tomasz Wąs

How does one allocate a collection of resources to a set of strategic agents in a fair and efficient manner without using money? For in many scenarios it is not feasible to use money to compensate agents for otherwise unsatisfactory…

Computer Science and Game Theory · Computer Science 2012-07-10 Richard Cole , Vasilis Gkatzelis , Gagan Goel

We address the fundamental problem of selection under uncertainty by modeling it from the perspective of Bayesian persuasion. In our model, a decision maker with imperfect information always selects the option with the highest expected…

Computer Science and Game Theory · Computer Science 2024-10-16 Siddhartha Banerjee , Kamesh Munagala , Yiheng Shen , Kangning Wang

Traditional ranking systems are expected to sort items in the order of their relevance and thereby maximize their utility. In fair ranking, utility is complemented with fairness as an optimization goal. Recent work on fair ranking focuses…

Information Retrieval · Computer Science 2022-01-05 Fatemeh Sarvi , Maria Heuss , Mohammad Aliannejadi , Sebastian Schelter , Maarten de Rijke

In this paper we consider clustering problems in which each point is endowed with a color. The goal is to cluster the points to minimize the classical clustering cost but with the additional constraint that no color is over-represented in…

Data Structures and Algorithms · Computer Science 2019-05-31 Sara Ahmadian , Alessandro Epasto , Ravi Kumar , Mohammad Mahdian

This paper considers the arbitrary-proportional finite-set-partitioning problem which involves partitioning a finite set into multiple subsets with respect to arbitrary nonnegative proportions. This is the core art of many fundamental…

Numerical Analysis · Computer Science 2017-07-31 Tiancheng Li

We provide experimental evaluation of a number of known and new algorithms for approximate computation of Monroe's and Chamberlin-Courant's rules. Our experiments, conducted both on real-life preference-aggregation data and on synthetic…

Multiagent Systems · Computer Science 2013-01-29 Piotr Skowron , Piotr Faliszewski , Arkadii Slinko

Explicit and implicit bias clouds human judgement, leading to discriminatory treatment of minority groups. A fundamental goal of algorithmic fairness is to avoid the pitfalls in human judgement by learning policies that improve the overall…

Machine Learning · Computer Science 2020-11-02 Yuzi He , Keith Burghardt , Siyi Guo , Kristina Lerman

This work tackles the issue of fairness in the context of generative procedures, such as image super-resolution, which entail different definitions from the standard classification setting. Moreover, while traditional group fairness…

Machine Learning · Computer Science 2021-07-05 Ajil Jalal , Sushrut Karmalkar , Jessica Hoffmann , Alexandros G. Dimakis , Eric Price

The remarkable attention which fair clustering has received in the last few years has resulted in a significant number of different notions of fairness. Despite the fact that these notions are well-justified, they are often motivated and…

Machine Learning · Computer Science 2023-06-01 John Dickerson , Seyed A. Esmaeili , Jamie Morgenstern , Claire Jie Zhang

While proportionality is frequently named as a desirable property of voting rules, its interpretation in multiwinner voting differs significantly from that in apportionment. We aim to bridge these two distinct notions of proportionality by…

Computer Science and Game Theory · Computer Science 2026-02-11 Daria Boratyn , Dariusz Stolicki

The design of algorithms for political redistricting generally takes one of two approaches: optimize an objective such as compactness or, drawing on fair division, construct a protocol whose outcomes guarantee partisan fairness. We aim to…

Computer Science and Game Theory · Computer Science 2023-05-23 Gerdus Benadè , Ariel D. Procaccia , Jamie Tucker-Foltz

Proportional representation (PR) is a fundamental principle of many democracies world-wide which employ PR-based voting rules to elect their representatives. The normative properties of these voting rules however, are often only understood…

Computer Science and Game Theory · Computer Science 2018-01-30 Barton E. Lee

Finding a representative cohort from a broad pool of candidates is a goal that arises in many contexts such as choosing governing committees and consumer panels. While there are many ways to define the degree to which a cohort represents a…

Data Structures and Algorithms · Computer Science 2022-05-19 Monika Henzinger , Charlotte Peale , Omer Reingold , Judy Hanwen Shen
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