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In many multiagent environments, a designer has some, but limited control over the game being played. In this paper, we formalize this by considering incompletely specified games, in which some entries of the payoff matrices can be chosen…

Computer Science and Game Theory · Computer Science 2021-04-30 Markus Brill , Rupert Freeman , Vincent Conitzer

Using methods from the statistical mechanics of disordered systems we analyze the properties of bimatrix games with random payoffs in the limit where the number of pure strategies of each player tends to infinity. We analytically calculate…

Disordered Systems and Neural Networks · Physics 2009-10-31 Johannes Berg

We examine two-player games over finite weighted graphs with quantitative (mean-payoff or energy) objective, where one of the players additionally needs to satisfy a fairness objective. The specific fairness we consider is called 'strong…

Computer Science and Game Theory · Computer Science 2025-01-30 Ashwani Anand , Satya Prakash Nayak , Ritam Raha , Irmak Sağlam , Anne-Kathrin Schmuck

We consider the sequential experimental design problem in the predict-then-optimize paradigm. In this paradigm, the outputs of the prediction model are used as coefficient vectors in a downstream linear optimization problem. Traditional…

Machine Learning · Statistics 2026-02-06 Beichen Wan , Mo Liu , Paul Grigas , Zuo-Jun Max Shen

This paper studies a system security problem in the context of observability based on a two-person noncooperative infinitely repeated game. Both the attacker and the defender have means to modify the dimension of the unobservable subspace,…

Optimization and Control · Mathematics 2025-06-11 Yueyue Xu , Panpan Zhou , Lin Wang , Zhixin Liu , Xiaoming Hu

The problem of scheduling with testing in the framework of explorable uncertainty models environments where some preliminary action can influence the duration of a task. In the model, each job has an unknown processing time that can be…

Data Structures and Algorithms · Computer Science 2021-08-20 Susanne Albers , Alexander Eckl

Overcoming the impact of selfish behavior of rational players in multiagent systems is a fundamental problem in game theory. Without any intervention from a central agent, strategic users take actions in order to maximize their personal…

Computer Science and Game Theory · Computer Science 2024-09-06 Maria-Florina Balcan , Matteo Pozzi , Dravyansh Sharma

Most of existing studies on submodular maximization focus on selecting a subset of items that maximizes a \emph{single} submodular function. However, in many real-world scenarios, we might have multiple user-specific functions, each of…

Machine Learning · Computer Science 2024-09-06 Jing Yuan , Shaojie Tang

We study tournaments where winning a rank-dependent prize requires passing a minimum performance standard. We show that, for any prize allocation, the optimal standard is always at a mode of performance that is weakly higher than the global…

Theoretical Economics · Economics 2024-12-03 Mikhail Drugov , Dmitry Ryvkin , Jun Zhang

Forecasting competitions are the equivalent of laboratory experimentation widely used in physical and life sciences. They provide useful, objective information to improve the theory and practice of forecasting, advancing the field,…

Applications · Statistics 2021-05-20 Spyros Makridakis , Chris Fry , Fotios Petropoulos , Evangelos Spiliotis

In this paper we develop an algorithm to optimise a nonlinear utility function of multiple objectives over the integer efficient set. Our approach is based on identifying and updating bounds on the individual objectives as well as the…

Optimization and Control · Mathematics 2013-04-08 Melih Ozlen , Meral Azizoğlu , Benjamin A. Burton

We investigate a two-stage competitive model involving multiple contests. In this model, each contest designer chooses two participants from a pool of candidate contestants and determines the biases. Contestants strategically distribute…

Computer Science and Game Theory · Computer Science 2023-12-21 Xiaotie Deng , Hangxin Gan , Ningyuan Li , Weian Li , Qi Qi

Designing fair algorithmic decision systems requires balancing model performance with fairness toward affected individuals: More fairness might require sacrificing some performance and vice versa, yet the space of possible trade-offs is…

Machine Learning · Computer Science 2026-05-12 Mieke Wilms , Christoph Heitz

We initiate the study of mechanism design with outliers, where the designer can discard $z$ agents from the social cost objective. This setting is particularly relevant when some agents exhibit extreme or atypical preferences. As a natural…

Computer Science and Game Theory · Computer Science 2025-09-19 Argyrios Deligkas , Eduard Eiben , Sophie Klumper , Guido Schäfer , Artem Tsikiridis

In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner of the game. Such games are central in formal methods since they model the interaction between a…

Computer Science and Game Theory · Computer Science 2023-06-22 Milad Aghajohari , Guy Avni , Thomas A. Henzinger

We consider a strategic game, where players submit jobs to a machine that executes all jobs in a way that minimizes energy while respecting the given deadlines. The energy consumption is then charged to the players in some way. Each player…

Computer Science and Game Theory · Computer Science 2017-07-11 Christoph Dürr , Łukasz Jeż , Óscar C. Vásquez

I study symmetric competitions in which each player chooses an arbitrary distribution over a one-dimensional performance index, subject to a convex cost. I establish existence of a symmetric equilibrium, document various properties it must…

Theoretical Economics · Economics 2026-05-07 Mark Whitmeyer

We consider coded caching over the fading broadcast channel, where the users, equipped with a memory of finite size, experience asymmetric fading statistics. It is known that a naive application of coded caching over the channel at hand…

Information Theory · Computer Science 2018-01-16 Richard Combes , Asma Ghorbel , Mari Kobayashi , Sheng Yang

We study payoff manipulation in repeated multi-objective Stackelberg games, where a leader may strategically influence a follower's deterministic best response, e.g., by offering a share of their own payoff. We assume that the follower's…

Computer Science and Game Theory · Computer Science 2025-08-27 Phurinut Srisawad , Juergen Branke , Long Tran-Thanh

This paper develops a framework for the design of scoring rules to optimally incentivize an agent to exert a multi-dimensional effort. This framework is a generalization to strategic agents of the classical knapsack problem (cf. Briest,…

Computer Science and Game Theory · Computer Science 2023-07-03 Jason D. Hartline , Liren Shan , Yingkai Li , Yifan Wu