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A central problem in multiagent systems is the fair assignment of objects to agents. In this paper, we initiate the analysis of classic majoritarian social choice functions in assignment. Exploiting the special structure of the assignment…

Theoretical Economics · Economics 2026-05-20 Felix Brandt , Haoyuan Chen , Chris Dong , Patrick Lederer , Alexander Schlenga

Correlated equilibria arise naturally when agents communicate or rely on intermediaries such as recommendation systems. We study when a given Nash equilibrium can be improved within the set of correlated equilibria for general objectives.…

Theoretical Economics · Economics 2026-05-01 Kirill Rudov , Fedor Sandomirskiy , Leeat Yariv

In the context of aggregating von Neumann-Morgenstern utilities, we show that bounded violations of the Pareto conditions characterize aggregation rules that are approximately utilitarian. When a single utility function is intended to…

Theoretical Economics · Economics 2026-05-18 Leandro Nascimento

We consider shared workspace scenarios with humans and robots acting to achieve independent goals, termed as parallel play. We model these as general-sum games and construct a framework that utilizes the Nash equilibrium solution concept to…

Artificial Intelligence · Computer Science 2020-06-11 Shray Bansal , Jin Xu , Ayanna Howard , Charles Isbell

We derive the rate of convergence to Nash equilibria for the payoff-based algorithm proposed in \cite{tat_kam_TAC}. These rates are achieved under the standard assumption of convexity of the game, strong monotonicity and differentiability…

Optimization and Control · Mathematics 2022-02-24 Tatiana Tatarenko , Maryam Kamgarpour

Many applications, such as content moderation and recommendation, require reviewing and scoring a large number of alternatives. Doing so robustly is however very challenging. Indeed, voters' inputs are inevitably sparse: most alternatives…

Computer Science and Game Theory · Computer Science 2024-01-26 Youssef Allouah , Rachid Guerraoui , Lê-Nguyên Hoang , Oscar Villemaud

Building upon the results in [Hinterm\"uller et al., SIAM J. Optim, '15], generalized Nash equilibrium problems are considered, in which the feasible set of each player is influenced by the decisions of their competitors. This is realized…

Optimization and Control · Mathematics 2021-10-22 Steven-Marian Stengl

A significant aspect of the study of quantum strategies is the exploration of the game-theoretic solution concept of the Nash equilibrium in relation to the quantization of a game. Pareto optimality is a refinement on the set of Nash…

Quantum Physics · Physics 2015-06-08 Azhar Iqbal , James M. Chappell , Derek Abbott

In the apportionment problem, a fixed number of seats must be distributed among parties in proportion to the number of voters supporting each party. We study a generalization of this setting, in which voters can support multiple parties by…

Computer Science and Game Theory · Computer Science 2022-03-31 Markus Brill , Paul Gölz , Dominik Peters , Ulrike Schmidt-Kraepelin , Kai Wilker

Budget aggregation deals with the social choice problem of distributing an exogenously given budget among a set of public projects, given agents' preferences. Taking a game-theoretic perspective, we study budget-aggregation games where each…

Computer Science and Game Theory · Computer Science 2026-02-25 Patrick Becker , Alexander Fries , Matthias Greger , Erel Segal-Halevi

The fair division of resources is an important age-old problem that has led to a rich body of literature. At the center of this literature lies the question of whether there exist fair mechanisms despite strategic behavior of the agents. A…

Computer Science and Game Theory · Computer Science 2017-05-16 Simina Brânzei , Vasilis Gkatzelis , Ruta Mehta

Stable matching in a community consisting of $N$ men and $N$ women is a classical combinatorial problem that has been the subject of intense theoretical and empirical study since its introduction in 1962 in a seminal paper by Gale and…

Computer Science and Game Theory · Computer Science 2020-05-19 Simon Mauras

Current alignment pipelines presume a single, universal notion of desirable behavior. However, human preferences often diverge across users, contexts, and cultures. As a result, disagreement collapses into the majority signal and minority…

Machine Learning · Computer Science 2025-06-10 Daniel Halpern , Evi Micha , Ariel D. Procaccia , Itai Shapira

Conventional preference learning methods often prioritize opinions held more widely when aggregating preferences from multiple evaluators. This may result in policies that are biased in favor of some types of opinions or groups and…

Artificial Intelligence · Computer Science 2026-03-03 Kihyun Kim , Jiawei Zhang , Asuman Ozdaglar , Pablo A. Parrilo

We address the generalized Nash equilibrium seeking problem in a partial-decision information scenario, where each agent can only exchange information with some neighbors, although its cost function possibly depends on the strategies of all…

Optimization and Control · Mathematics 2021-12-14 Mattia Bianchi , Giuseppe Belgioioso , Sergio Grammatico

We consider the Nash equilibrium problem in a partial-decision information scenario. Specifically, each agent can only receive information from some neighbors via a communication network, while its cost function depends on the strategies of…

Optimization and Control · Mathematics 2021-05-07 Mattia Bianchi , Sergio Grammatico

We study the utilitarian distortion of social choice mechanisms under the recently proposed learning-augmented framework where some (possibly unreliable) predicted information about the preferences of the agents is given as input. In…

Computer Science and Game Theory · Computer Science 2025-02-11 Aris Filos-Ratsikas , Georgios Kalantzis , Alexandros A. Voudouris

We study the efficiency (in terms of social welfare) of truthful and symmetric mechanisms in one-sided matching problems with {\em dichotomous preferences} and {\em normalized von Neumann-Morgenstern preferences}. We are particularly…

Computer Science and Game Theory · Computer Science 2014-09-18 Marek Adamczyk , Piotr Sankowski , Qiang Zhang

Mechanism design is studied for aggregating renewable power producers (RPPs) in a two-settlement power market. Employing an indirect mechanism design framework, a payoff allocation mechanism (PAM) is derived from the competitive equilibrium…

Computer Science and Game Theory · Computer Science 2018-10-09 Hossein Khazaei , Yue Zhao

Within a common arbitrage-free semimartingale financial market we consider the problem of determining all Nash equilibrium investment strategies for $n$ agents who try to maximize the expected utility of their relative wealth. The utility…

Optimization and Control · Mathematics 2025-10-16 Nicole Bäuerle , Tamara Göll
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