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We present a framework for computing approximate mixed-strategy Nash equilibria of continuous-action games. It is a modification of the traditional double oracle algorithm, extended to multiple players and continuous action spaces. Unlike…

Computer Science and Game Theory · Computer Science 2024-06-14 Carlos Martin , Tuomas Sandholm

It is an open problem whether a classical client can delegate quantum computing to an efficient remote quantum server in such a way that the correctness of quantum computing is somehow guaranteed. Several protocols for verifiable delegated…

Quantum Physics · Physics 2020-03-13 Tomoyuki Morimae , Harumichi Nishimura

Several notions of game enjoy a Nash-like notion of equilibrium without guarantee of existence. There are different ways of weakening a definition of Nash-like equilibrium in order to guarantee the existence of a weakened equilibrium.…

Computer Science and Game Theory · Computer Science 2007-12-11 Stéphane Le Roux

Can classical game-theoretic frameworks be extended to capture the bounded rationality and causal reasoning of AI agents? We investigate this question by extending Causal Normal Form Games (CNFGs) to sequential settings, introducing…

Computer Science and Game Theory · Computer Science 2026-03-12 Dennis Thumm

We consider the classical secret sharing problem in the case where all agents are selfish but rational. In recent work, Kol and Naor show that, when there are two players, in the non-simultaneous communication model, i.e. when rushing is…

Data Structures and Algorithms · Computer Science 2012-05-04 Varsha Dani , Mahnush Movahedi , Jared Saia

In this paper, we examine the robustness of Nash equilibria in continuous games, under both strategic and dynamic uncertainty. Starting with the former, we introduce the notion of a robust equilibrium as those equilibria that remain…

Computer Science and Game Theory · Computer Science 2025-12-10 Kyriakos Lotidis , Panayotis Mertikopoulos , Nicholas Bambos , Jose Blanchet

Correctness is an emergent property of systems where exposing error is cheaper than committing it. In dynamic, low-trust environments, autonomous AI agents benefit from delegating work to sub-agents, yet correctness cannot be assured…

Computer Science and Game Theory · Computer Science 2025-12-03 David Shi , Kevin Joo

We study the complexity of securely evaluating arithmetic circuits over finite rings. This question is motivated by natural secure computation tasks. Focusing mainly on the case of two-party protocols with security against malicious…

Cryptography and Security · Computer Science 2008-11-08 Yuval Ishai , Manoj Prabhakaran , Amit Sahai

We develop a general game-theoretic framework for reasoning about strategic agents performing possibly costly computation. In this framework, many traditional game-theoretic results (such as the existence of a Nash equilibrium) no longer…

Computer Science and Game Theory · Computer Science 2014-12-10 Joseph Y. Halpern , Rafael Pass

Optimization methods are used to determine equilibria of investment in cryptocurrencies. The basic assumptions involve existence of a core group (the "wealthy") that fears the loss of substantial assets through government seizure.…

Mathematical Finance · Quantitative Finance 2019-04-16 Carey Caginalp , Gunduz Caginalp

We examine sequential equilibrium in the context of computational games, where agents are charged for computation. In such games, an agent can rationally choose to forget, so issues of imperfect recall arise. In this setting, we consider…

Computer Science and Game Theory · Computer Science 2014-12-22 Joseph Y. Halpern , Rafael Pass

Many economic transactions, including those of online markets, have a time lag between the start and end times of transactions. Customers need to wait for completion of their transaction (order fulfillment) and hence are also interested in…

Optimization and Control · Mathematics 2018-10-19 Manu K. Gupta , N. Hemachandra

We show how solution concepts in games such as Nash equilibrium, correlated equilibrium, rationalizability, and sequential equilibrium can be given a uniform definition in terms of \emph{knowledge-based programs}. Intuitively, all solution…

Computer Science and Game Theory · Computer Science 2007-05-23 Joseph Y. Halpern , Yoram Moses

Characterizations of Nash equilibrium, correlated equilibrium, and rationalizability in terms of common knowledge of rationality are well known. Analogous characterizations of sequential equilibrium, (trembling hand) perfect equilibrium,…

Computer Science and Game Theory · Computer Science 2016-05-05 Joseph Y. Halpern , Yoram Moses

We study the security of interaction protocols when incentives of participants are taken into account. We begin by formally defining correctness of a protocol, given a notion of rationality and utilities of participating agents. Based on…

Cryptography and Security · Computer Science 2014-04-04 Wojciech Jamroga , Matthijs Melissen , Henning Schnoor

We present novel techniques for neuro-symbolic concurrent stochastic games, a recently proposed modelling formalism to represent a set of probabilistic agents operating in a continuous-space environment using a combination of neural network…

Computer Science and Game Theory · Computer Science 2022-06-22 Rui Yan , Gabriel Santos , Xiaoming Duan , David Parker , Marta Kwiatkowska

We initiate the study of quantum races, games where two or more quantum computers compete to solve a computational problem. While the problem of dueling algorithms has been studied for classical deterministic algorithms, the quantum case…

Quantum Physics · Physics 2018-09-28 Troy Lee , Maharshi Ray , Miklos Santha

In this paper we focus on noncooperative games with uncertain constraints coupling the agents' decisions. We consider a setting where bounded deviations of agents' decisions from the equilibrium are possible, and uncertain constraints are…

Optimization and Control · Mathematics 2023-11-28 George Pantazis , Filiberto Fele , Kostas Margellos

A growing body of literature in networked systems research relies on game theory and mechanism design to model and address the potential lack of cooperation between self-interested users. Most game-theoretic models applied to system…

Computer Science and Game Theory · Computer Science 2007-05-23 Nicolas Christin , Jens Grossklags , John Chuang

Semantic communication (SC) is recognized as a promising approach for enabling reliable communication with minimal data transfer while maintaining seamless connectivity for a group of wireless users. Unlocking the advantages of SC for…

Information Theory · Computer Science 2024-06-24 Nitisha Singh , Christo Kurisummoottil Thomas , Walid Saad , Emilio Calvanese Strinati