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Knockout tournaments, also known as single-elimination or cup tournaments, are a popular form of sports competitions. In the standard probabilistic setting, for each pairing of players, one of the players wins the game with a certain (a…

Data Structures and Algorithms · Computer Science 2024-12-17 Juhi Chaudhary , Hendrik Molter , Meirav Zehavi

Cooperation in repeated public goods game is hardly achieved, unless contingent behavior is present. Surely, if mechanisms promoting positive assortment between cooperators are present, then cooperators may beat defectors, because…

Physics and Society · Physics 2020-06-24 Lucas Wardil , Marco A. Amaral

Competitions for shareable and limited resources have long been studied with strategic agents. In reality, agents often have to learn and maximize the rewards of the resources at the same time. To design an individualized competing policy,…

Machine Learning · Computer Science 2023-08-07 Renzhe Xu , Haotian Wang , Xingxuan Zhang , Bo Li , Peng Cui

Coalitional games serve the purpose of modeling payoff distribution problems in scenarios where agents can collaborate by forming coalitions in order to obtain higher worths than by acting in isolation. In the classical Transferable Utility…

Computer Science and Game Theory · Computer Science 2014-01-17 Gianluigi Greco , Enrico Malizia , Luigi Palopoli , Francesco Scarcello

In this work we consider an agent based model in order to study the wealth distribution problem where the interchange is determined with a symmetric zero sum game. Simultaneously, the agents update their way of play trying to learn the…

Physics and Society · Physics 2017-09-12 Juan Pablo Pinasco , Mauro Rodriguez Cartabia , Nicolas Saintier

We consider an optimal partition of resources (e.g. consumers) between several agents (e.g. experts), given utility functions ("wisdoms") for the agents and their capacities. This problem is a variant of optimal transport…

Optimization and Control · Mathematics 2016-04-07 Gershon Wolansky

We initiate the study of the natural multiplayer generalization of the classic continuous Colonel Blotto game. The two-player Blotto game, introduced by Borel as a model of resource competition across $n$ simultaneous fronts, has been…

Computer Science and Game Theory · Computer Science 2021-05-24 Enric Boix-Adserà , Benjamin L. Edelman , Siddhartha Jayanti

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

In this paper, we study the strategic allocation of limited resources using a Colonel Blotto game (CBG) under a dynamic setting and analyze the problem using an online learning approach. In this model, one of the players is a learner who…

Machine Learning · Computer Science 2023-09-13 Vincent Leon , S. Rasoul Etesami

Resource competition problems are often modeled using Colonel Blotto games, where players take simultaneous actions. However, many real-world scenarios involve sequential decision-making rather than simultaneous moves. To model these…

Computer Science and Game Theory · Computer Science 2025-05-13 Yan Liu , Bonan Ni , Weiran Shen , Zihe Wang , Jie Zhang

In our multi-agent model agents generate wealth from repeated interactions for which a prisoner's dilemma payoff matrix is assumed. Their gains are taxed by a government at a rate $\alpha$. The resulting budget is spent to cover…

Physics and Society · Physics 2021-06-30 Frank Schweitzer , Luca Verginer , Giacomo Vaccario

This work studies a dynamic, adversarial resource allocation problem in environments modeled as graphs. A blue team of defender robots are deployed in the environment to protect the nodes from a red team of attacker robots. We formulate the…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Daigo Shishika , Yue Guan , Michael Dorothy , Vijay Kumar

Game theory provides a quantitative framework for analyzing the behavior of rational agents. The Iterated Prisoner's Dilemma in particular has become a standard model for studying cooperation and cheating, with cooperation often emerging as…

Populations and Evolution · Quantitative Biology 2015-06-18 Alexander J. Stewart , Joshua B. Plotkin

A new model of collusions in an organization is proposed. Each actor $a_{i=1,\cdots,N}$ disposes one unique good $g_{j=1,\cdots,N}$. Each actor $a_i$ has also a list of other goods which he/she needs, in order from desired most to those…

Physics and Society · Physics 2016-06-07 K. Malarz , K. Kulakowski

We consider a decentralized stochastic multi-armed bandit problem with multiple players. Each player aims to maximize his/her own reward by pulling an arm. The arms give rewards based on i.i.d. stochastic Bernoulli distributions. Players…

Machine Learning · Computer Science 2017-12-05 Noyan Evirgen , Alper Kose , Hakan Gokcesu

In a recent paper, we analyzed the self-assembly of a complex cooperation network. The network was shown to approach a state where every agent invests the same amount of resources. Nevertheless, highly-connected agents arise that extract…

Physics and Society · Physics 2012-03-07 Anne-Ly Do , Lars Rudolf , Thilo Gross

High performance machine learning models have become highly dependent on the availability of large quantity and quality of training data. To achieve this, various central agencies such as the government have suggested for different data…

Machine Learning · Computer Science 2019-11-27 Zhiliang Chen

Purpose: We propose a model to present a possible mechanism for obtaining sizeable behavioural structures by simulating an agent based on the evolutionary public good game with available social learning. Methods: The model considered a…

Computer Science and Game Theory · Computer Science 2019-10-29 Chulwook Park

In many non-cooperative settings, agents often possess useful information that provide an advantage over their opponent(s), but acting on such information too frequently can lead to detection. I develop a simple framework to analyze such a…

General Economics · Economics 2024-12-17 Xiaoming Wang

Blockchain-based federated learning (BCFL) has recently gained tremendous attention because of its advantages such as decentralization and privacy protection of raw data. However, there has been few research focusing on the allocation of…

Cryptography and Security · Computer Science 2022-02-23 Zhilin Wang , Qin Hu , Ruinian Li , Minghui Xu , Zehui Xiong