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Desensitization addresses safe optimal planning under parametric uncertainties by providing sensitivity function-based risk estimates. This paper expands upon the existing work on desensitization in optimal control to address safe planning…

Systems and Control · Electrical Eng. & Systems 2024-02-08 Vinodhini Comandur , Tulasi Ram Vechalapu , Venkata Ramana Makkapati , Panagiotis Tsiotras , Seth Hutchinson

Learning to cooperate with friends and compete with foes is a key component of multi-agent reinforcement learning. Typically to do so, one requires access to either a model of or interaction with the other agent(s). Here we show how to…

Artificial Intelligence · Computer Science 2019-01-03 DJ Strouse , Max Kleiman-Weiner , Josh Tenenbaum , Matt Botvinick , David Schwab

This article studies the value of information in route choice decisions when a fraction of players have access to high accuracy information about traffic incidents relative to others. To model such environments, we introduce a Bayesian…

Computer Science and Game Theory · Computer Science 2016-03-30 Jeffrey Liu , Saurabh Amin , Galina Schwartz

We consider a dynamic game with asymmetric information where each player observes privately a noisy version of a (hidden) state of the world V, resulting in dependent private observations. We study structured perfect Bayesian equilibria…

Systems and Control · Electrical Eng. & Systems 2020-09-10 Nasimeh Heydaribeni , Achilleas Anastasopoulos

Measuring contributions is a classical problem in cooperative game theory where the Shapley value is the most well-known solution concept. In this paper, we establish the convergence property of the Shapley value in parametric Bayesian…

Machine Learning · Computer Science 2022-06-15 Lucas Agussurja , Xinyi Xu , Bryan Kian Hsiang Low

In this work, we proposed a new $N$-person game in which the players can bet on two options, for example represented by two boxers. Some of the players have privileged information about the boxers and part of them can provide this…

Statistical Mechanics · Physics 2018-04-04 Roberto da Silva , Henrique A. Fernandes

We study an information-structure design problem (a.k.a. persuasion) with a single sender and multiple receivers with actions of a priori unknown types, independently drawn from action-specific marginal distributions. As in the standard…

Artificial Intelligence · Computer Science 2019-08-05 Andrea Celli , Stefano Coniglio , Nicola Gatti

In this work, we study the system of interacting non-cooperative two Q-learning agents, where one agent has the privilege of observing the other's actions. We show that this information asymmetry can lead to a stable outcome of population…

Machine Learning · Computer Science 2021-01-26 Ezra Tampubolon , Haris Ceribasic , Holger Boche

We consider a two-player zero-sum stochastic differential game in which one of the players has a private information on the game. Both players observe each other, so that the non-informed player can try to guess his missing information. Our…

Probability · Mathematics 2011-06-15 Christine Grün

We analyze how dynamic information should be provided to uniquely implement the largest equilibrium in binary-action coordination games. The designer offers an informational put: she stays silent if players choose her preferred action, but…

Theoretical Economics · Economics 2024-12-31 Andrew Koh , Sivakorn Sanguanmoo , Kei Uzui

In this paper, we present an efficient algorithm to solve online Stackelberg games, featuring multiple followers, in a follower-agnostic manner. Unlike previous works, our approach works even when leader has no knowledge about the…

Optimization and Control · Mathematics 2024-03-28 Chinmay Maheshwari , James Cheng , S. Shankar Sasty , Lillian Ratliff , Eric Mazumdar

The problem of peer prediction is to elicit information from agents in settings without any objective ground truth against which to score reports. Peer prediction mechanisms seek to exploit correlations between signals to align incentives…

Computer Science and Game Theory · Computer Science 2016-06-20 Victor Shnayder , Arpit Agarwal , Rafael Frongillo , David C. Parkes

Strategic information design is a framework where a sender designs information strategically to steer its receiver's decision towards a desired choice. Traditionally, such frameworks have always assumed that the sender and the receiver…

Computer Science and Game Theory · Computer Science 2021-07-23 Doris E. M. Brown , Venkata Sriram Siddhardh Nadendla

We consider linear-quadratic Gaussian (LQG) games in which players have quadratic payoffs that depend on the players' actions and an unknown payoff-relevant state, and signals on the state that follow a Gaussian distribution conditional on…

Optimization and Control · Mathematics 2023-05-01 Furkan Sezer , Hossein Khazaei , Ceyhun Eksin

In a Stackelberg game, a leader commits to a randomized strategy, and a follower chooses their best strategy in response. We consider an extension of a standard Stackelberg game, called a discrete-time dynamic Stackelberg game, that has an…

Computer Science and Game Theory · Computer Science 2022-02-11 Niklas Lauffer , Mahsa Ghasemi , Abolfazl Hashemi , Yagiz Savas , Ufuk Topcu

We study the use of Bayesian persuasion (i.e., strategic use of information disclosure/signaling) in endogenous team formation. This is an important consideration in settings such as crowdsourcing competitions, open science challenges and…

Computer Science and Game Theory · Computer Science 2019-10-03 Chamsi Hssaine , Siddhartha Banerjee

How important are leaders' actions in facilitating coordination? In this paper, we investigate their signaling role in a global games framework. A perfectly informed leader and a team of followers face a coordination problem. Despite the…

Theoretical Economics · Economics 2023-07-27 Panagiotis Kyriazis , Edmund Lou

We study information design in games where players choose from a continuum of actions and have continuously differentiable payoffs. We show that an information structure is optimal when the equilibrium it induces can also be implemented in…

Theoretical Economics · Economics 2026-04-23 Alex Smolin , Takuro Yamashita

In this paper we model a game such that all strategies are non-revealing, with imperfect recall and incomplete information. We also introduce a modified sliding-block code as a linear transformation which generates common knowledge of how…

Computer Science and Game Theory · Computer Science 2024-09-24 Ian Malloy

A wide variety of goals could cause an AI to disable its off switch because "you can't fetch the coffee if you're dead" (Russell 2019). Prior theoretical work on this shutdown problem assumes that humans know everything that AIs do. In…

Computer Science and Game Theory · Computer Science 2024-12-10 Andrew Garber , Rohan Subramani , Linus Luu , Mark Bedaywi , Stuart Russell , Scott Emmons