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Optimization methods are used to determine equilibria of investment in cryptocurrencies. The basic assumptions involve existence of a core group (the "wealthy") that fears the loss of substantial assets through government seizure.…

Mathematical Finance · Quantitative Finance 2019-04-16 Carey Caginalp , Gunduz Caginalp

I study the welfare-maximizing allocation of heterogeneous goods when monetary transfers are prohibited. Agents have private values, and the designer chooses a mechanism subject to incentive compatibility and aggregate supply constraints. I…

Theoretical Economics · Economics 2026-05-26 Filip Tokarski

Machine learning systems are increasingly being used to make impactful decisions such as loan applications and criminal justice risk assessments, and as such, ensuring fairness of these systems is critical. This is often challenging as the…

Machine Learning · Computer Science 2020-12-18 YooJung Choi , Meihua Dang , Guy Van den Broeck

Minimal balanced collections are a generalization of partitions of a finite set of n elements and have important applications in cooperative game theory and discrete mathematics. However, their number is not known beyond n = 4. In this…

Computer Science and Game Theory · Computer Science 2025-07-09 Dylan Laplace Mermoud , Michel Grabisch , Peter Sudhölter

We consider the problem of selecting a minimum size subset of nodes in a network, that allows to activate all the nodes of the network. We present a fast and simple algorithm that, in real-life networks, produces solutions that outperform…

Data Structures and Algorithms · Computer Science 2016-10-18 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

The human capacity for working together and with tools builds on cognitive abilities that, while not unique to humans, are most developed in humans both in scale and plasticity. Our capacity to engage with collaborators and with technology…

Physics and Society · Physics 2025-03-17 M. Burgess , R. I. M. Dunbar

The Network Scale-up Method (NSUM) uses social networks and answers to "How many X's do you know?" questions to estimate sizes of groups excluded by standard surveys. This paper addresses the bias caused by varying average social network…

Applications · Statistics 2024-03-26 Ian Laga , Jessica P. Kunke , Tyler H. McCormick , Xiaoyue Niu

Fairness researchers in machine learning (ML) have coalesced around several fairness criteria which provide formal definitions of what it means for an ML model to be fair. However, these criteria have some serious limitations. We identify…

Machine Learning · Computer Science 2022-07-14 Liam Peet-Pare , Nidhi Hegde , Alona Fyshe

In a variety of open source software projects, we document a superlinear growth of production ($R \sim c^\beta$) as a function of the number of active developers $c$, with $\beta \simeq 4/3$ with large dispersions. For a typical project in…

Physics and Society · Physics 2015-06-19 Didier Sornette , Thomas Maillart , Giacomo Ghezzi

Machine learning algorithms are becoming integrated into more and more high-stakes decision-making processes, such as in social welfare issues. Due to the need of mitigating the potentially disparate impacts from algorithmic predictions,…

Machine Learning · Statistics 2024-02-07 Xianli Zeng , Edgar Dobriban , Guang Cheng

Regret in stochastic multi-armed bandits traditionally measures the difference between the highest reward and either the arithmetic mean of accumulated rewards or the final reward. These conventional metrics often fail to address fairness…

Machine Learning · Computer Science 2025-10-27 Dhruv Sarkar , Nishant Pandey , Sayak Ray Chowdhury

We consider the relation between Sion's minimax theorem for a continuous function and a Nash equilibrium in a five-players game with two groups which is zero-sum and symmetric in each group. We will show the following results. 1. The…

General Economics · Economics 2018-09-10 Atsuhiro Satoh , Yasuhito Tanaka

Realistically -- and equitably -- modeling the dynamics of group-level disparities in machine learning remains an open problem. In particular, we desire models that do not suppose inherent differences between artificial groups of people --…

Machine Learning · Computer Science 2022-01-03 Reilly Raab , Yang Liu

Investigations of social influence in collective decision-making have become possible due to recent technologies and platforms that record interactions in far larger groups than could be studied before. Herding and its impact on…

Social and Information Networks · Computer Science 2023-06-29 Henry K. Dambanemuya , Johannes Wachs , Emőke-Ágnes Horvát

Crowdsourcing is a mechanism by means of which groups of people are able to execute a task by sharing ideas, efforts and resources. Thanks to the online technologies, crowdsourcing has become in the last decade an even more utilized process…

Physics and Society · Physics 2022-03-16 Daniele Vilone

In approval-based budget division, a budget needs to be distributed to candidates based on the voters' approval ballots over these candidates. In the pursuit of a simple, consistent, and approximately fair rule for this setting, we…

Computer Science and Game Theory · Computer Science 2025-10-06 Haris Aziz , Patrick Lederer , Xinhang Lu , Mashbat Suzuki , Jeremy Vollen

The increasing usage of machine learning models in consequential decision-making processes has spurred research into the fairness of these systems. While significant work has been done to study group fairness in the in-processing and…

Machine Learning · Statistics 2024-03-13 Xianli Zeng , Joshua Ward , Guang Cheng

We investigate the problem of maximizing social welfare while ensuring fairness in a multi-agent multi-armed bandit (MA-MAB) setting. In this problem, a centralized decision-maker takes actions over time, generating random rewards for…

Machine Learning · Computer Science 2025-06-23 Piyushi Manupriya , Himanshu , SakethaNath Jagarlapudi , Ganesh Ghalme

There is increasing regulatory interest in whether machine learning algorithms deployed in consequential domains (e.g. in criminal justice) treat different demographic groups "fairly." However, there are several proposed notions of…

Theoretical Economics · Economics 2020-02-19 Christopher Jung , Sampath Kannan , Changhwa Lee , Mallesh M. Pai , Aaron Roth , Rakesh Vohra

In criminal justice risk forecasting, one can prove that it is impossible to optimize accuracy and fairness at the same time. One can also prove that it is impossible optimize at once all of the usual group definitions of fairness. In the…

Applications · Statistics 2019-10-28 Richard A. Berk , Ayya A. Elzarka