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Within the framework of Game Theory, contests study decision-making in those situations or conflicts when rewards depend on the relative rank between contenders rather than their absolute performance. By relying on the formalism of Tullock…

Physics and Society · Physics 2023-04-03 A. de Miguel-Arribas , J. Morón-Vidal , L. M. Floría , C. Gracia-Lázaro , L. Hernández , Y. Moreno

We study $n$-dimensional contests between two players with heterogeneous effort costs, where each dimension (battle) is modeled as a Tullock contest. Prize-allocation rules are identity-independent, budget-balanced, and weakly increasing in…

Theoretical Economics · Economics 2026-03-31 Siyuan Fan , Zhonghong Kuang , Jingfeng Lu

This paper introduces a novel class of multi-stage resource allocation games that model real-world scenarios in which profitability depends on the balance between supply and demand, and where higher resource investment leads to greater…

Computer Science and Game Theory · Computer Science 2025-07-21 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis

We study how to incentivize agents in a target group to produce a higher output in the context of incomplete information, by means of rank-order allocation contests. We describe a symmetric Bayes--Nash equilibrium for contests that have two…

Computer Science and Game Theory · Computer Science 2022-05-02 Edith Elkind , Abheek Ghosh , Paul Goldberg

This paper investigates a two-stage game-theoretical model with multiple parallel rank-order contests. In this model, each contest designer sets up a contest and determines the prize structure within a fixed budget in the first stage.…

Computer Science and Game Theory · Computer Science 2025-05-14 Xiaotie Deng , Ningyuan Li , Weian Li , Qi Qi

Incentive mechanisms for crowdsourcing have been extensively studied under the framework of all-pay auctions. Along a distinct line, this paper proposes to use Tullock contests as an alternative tool to design incentive mechanisms for…

Computer Science and Game Theory · Computer Science 2017-01-06 T. Luo , S. S. Kanhere , H-P. Tan , F. Wu , H. Wu

This paper aims to design a distributed coordination algorithm for solving a multi-agent decision problem with a hierarchical structure. The primary goal is to search the Nash equilibrium of a noncooperative game such that each player has…

Optimization and Control · Mathematics 2022-05-17 Xiaoyu Ma , Jinlong Lei , Peng Yi , Jie Chen

This paper focuses on the coordination of a large population of dynamic agents with private information over multiple periods. Each agent maximizes the individual utility, while the coordinator determines the market rule to achieve group…

Systems and Control · Computer Science 2015-10-05 Sen Li , Wei Zhang

This paper explores the design of contests involving $n$ contestants, focusing on how the designer decides on the number of contestants allowed and the prize structure with a fixed budget. We characterize the unique symmetric Bayesian Nash…

Computer Science and Game Theory · Computer Science 2025-02-14 Hanbing Liu , Ningyuan Li , Weian Li , Qi Qi , Changyuan Yu

Tullock contests model real-life scenarios that range from competition among proof-of-work blockchain miners to rent-seeking and lobbying activities. We show that continuous-time best-response dynamics in Tullock contests with convex costs…

Computer Science and Game Theory · Computer Science 2024-11-01 Edith Elkind , Abheek Ghosh , Paul W. Goldberg

Entities in multi-agent systems may seek conflicting subobjectives, and this leads to competition between them. To address performance degradation due to competition, we consider a bi-level lottery where a social planner at the high level…

Computer Science and Game Theory · Computer Science 2020-12-04 Hunmin Kim , Minghui Zhu

We study techniques to incentivize self-interested agents to form socially desirable solutions in scenarios where they benefit from mutual coordination. Towards this end, we consider coordination games where agents have different intrinsic…

Computer Science and Game Theory · Computer Science 2014-04-21 Elliot Anshelevich , Shreyas Sekar

We apply control theoretic and optimization techniques to adaptively design incentives. In particular, we consider the problem of a planner with an objective that depends on data from strategic decision makers. The planner does not know the…

Computer Science and Game Theory · Computer Science 2018-06-18 Lillian J. Ratliff , Tanner Fiez

In this paper we consider a distributed coordination game played by a large number of agents with finite information sets, which characterizes emergence of a single dominant attribute out of a large number of competitors. Formally, $N$…

Economics · Quantitative Finance 2016-12-21 S. Agarwal , D. Ghosh , A. S. Chakrabarti

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

In game theory, mechanism design is concerned with the design of incentives so that a desired outcome of the game can be achieved. In this paper, we explore the concept of equilibrium design, where incentives are designed to obtain a…

Logic in Computer Science · Computer Science 2024-12-18 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge

A principal uses payments conditioned on stochastic outcomes of a team project to elicit costly effort from the team members. We develop a multi-agent generalization of a classic first-order approach to contract optimization by leveraging…

Theoretical Economics · Economics 2026-03-13 Krishna Dasaratha , Benjamin Golub , Anant Shah

To achieve an optimal outcome in many situations, agents need to choose distinct actions from one another. This is the case notably in many resource allocation problems, where a single resource can only be used by one agent at a time. How…

Computer Science and Game Theory · Computer Science 2014-02-05 Ludek Cigler , Boi Faltings

In game theory, mechanism design is concerned with the design of incentives so that a desired outcome of the game can be achieved. In this paper, we study the design of incentives so that a desirable equilibrium is obtained, for instance,…

Computer Science and Game Theory · Computer Science 2021-06-21 Julian Gutierrez , Muhammad Najib , Giuseppe Perelli , Michael Wooldridge

Coordinating the behaviour of self-interested agents in the presence of multiple Nash equilibria is a major research challenge for multi-agent systems. Pre-game communication between all the players can aid coordination in cases where the…

Computer Science and Game Theory · Computer Science 2025-02-18 Wei-Chen Lee , Alessandro Abate , Michael Wooldridge
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