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Bayesian implementation concerns decision making problems when agents have incomplete information. This paper proposes that the traditional sufficient conditions for Bayesian implementation shall be amended by virtue of a quantum Bayesian…

数据分析、统计与概率 · 物理学 2018-09-24 Haoyang Wu

We study the design of optimal incentives in sequential processes. To do so, we consider a basic and fundamental model in which an agent initiates a value-creating sequential process through costly investment with random success. If…

理论经济学 · 经济学 2023-11-22 Jens Gudmundsson , Jens Leth Hougaard , Juan D. Moreno-Ternero , Lars Peter Østerdal

As increasingly capable agents are deployed, a central safety challenge is how to retain meaningful human control without modifying the underlying system. We study a minimal control interface in which an agent chooses whether to act…

人工智能 · 计算机科学 2026-02-23 William Overman , Mohsen Bayati

We consider game theory from the perspective of quantum algorithms. Strategies in classical game theory are either pure (deterministic) or mixed (probabilistic). We introduce these basic ideas in the context of a simple example, closely…

量子物理 · 物理学 2009-10-31 David A. Meyer

Indifference of a player with respect to two distinct outcomes of a game cannot be handled by small perturbations, because the actual choice may have significant impact on other players, and cause them to act in a way that has significant…

人工智能 · 计算机科学 2023-07-11 Nimrod Megiddo

The \((n,k)\) game models a group of \(n\) individuals with binary opinions, say 1 and 0, where a decision is made if at least \(k\) individuals hold opinion 1. This paper explores the dynamics of the game with heterogeneous agents under…

概率论 · 数学 2024-09-17 Hsin-Lun Li

While Nash equilibria are guaranteed to exist, they may exhibit dense support, making them difficult to understand and execute in some applications. In this paper, we study $k$-sparse commitments in games where one player is restricted to…

计算机科学与博弈论 · 计算机科学 2025-04-22 Salam Afiouni , Jakub Černý , Chun Kai Ling , Christian Kroer

A simple model for cooperation between "selfish" agents, which play an extended version of the Prisoner's Dilemma(PD) game, in which they use arbitrary payoffs, is presented and studied. A continuous variable, representing the probability…

凝聚态物理 · 物理学 2009-11-10 H. Fort

Traffic scenarios are inherently interactive. Multiple decision-makers predict the actions of others and choose strategies that maximize their rewards. We view these interactions from the perspective of game theory which introduces various…

机器学习 · 计算机科学 2020-04-28 Christian Muench , Frans A. Oliehoek , Dariu M. Gavrila

Game theory is central to the understanding of competitive interactions arising in many fields, from the social and physical sciences to economics. Recently, as the definition of information is generalized to include entangled quantum…

While game-theoretic planning frameworks are effective at modeling multi-agent interactions, they require solving large optimization problems where the number of variables increases with the number of agents, resulting in long computation…

机器人学 · 计算机科学 2026-04-02 Tianyu Qiu , Eric Ouano , Fernando Palafox , Christian Ellis , David Fridovich-Keil

Trajectory planning involving multi-agent interactions has been a long-standing challenge in the field of robotics, primarily burdened by the inherent yet intricate interactions among agents. While game-theoretic methods are widely…

机器人学 · 计算机科学 2025-07-17 Zhenmin Huang , Yusen Xie , Benshan Ma , Shaojie Shen , Jun Ma

Many settings of interest involving humans and machines -- from virtual personal assistants to autonomous vehicles -- can naturally be modelled as principals (humans) delegating to agents (machines), which then interact with each other on…

计算机科学与博弈论 · 计算机科学 2024-08-07 Oliver Sourbut , Lewis Hammond , Harriet Wood

We study heterogeneous $k$-facility location games. In this model there are $k$ facilities where each facility serves a different purpose. Thus, the preferences of the agents over the facilities can vary arbitrarily. Our goal is to design…

计算机科学与博弈论 · 计算机科学 2020-10-13 Eleftherios Anastasiadis , Argyrios Deligkas

Many high-stakes decision-making problems, such as those found within cybersecurity and economics, can be modeled as competitive resource allocation games. In these games, multiple players must allocate limited resources to overcome their…

计算机科学与博弈论 · 计算机科学 2024-01-10 N'yoma Diamond , Fabricio Murai

We introduce and analyze a variation of the Bertrand game in which the revenue is shared between two players. This game models situations in which one economic agent can provide goods/services to consumers either directly or through an…

We propose a game development framework capable of governing the behavior of complementary companions in a video game. A "complementary" action is contrasted with a mimicking action and is defined as any action by a friendly non-player…

人工智能 · 计算机科学 2018-08-29 Gavin Scott , Foaad Khosmood

AI agents will be predictable in certain ways that traditional agents are not. Where and how can we leverage this predictability in order to improve social welfare? We study this question in a game-theoretic setting where one agent can pay…

计算机科学与博弈论 · 计算机科学 2025-02-10 Vojtech Kovarik , Nathaniel Sauerberg , Lewis Hammond , Vincent Conitzer

We study the problem of implementing equilibria of complete information games in settings of incomplete information, and address this problem using "recommender mechanisms." A recommender mechanism is one that does not have the power to…

计算机科学与博弈论 · 计算机科学 2015-12-11 Michael Kearns , Mallesh M. Pai , Aaron Roth , Jonathan Ullman

Recently, strategic games inspired by Schelling's influential model of residential segregation have been studied in the TCS and AI literature. In these games, agents of k different types occupy the nodes of a network topology aiming to…

计算机科学与博弈论 · 计算机科学 2024-03-15 Lata Narayanan , Yasaman Sabbagh , Alexandros A. Voudouris
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