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Despite the popularity and practical applicability of blockchains, there is very limited work on the theoretical foundation of blockchains: The lack of rigorous theory and analysis behind the curtain of blockchains has severely staggered…

Computer Science and Game Theory · Computer Science 2020-01-14 Dongfang Zhao

In the framework of finite games in extensive form with perfect information and strict preferences, this paper introduces a new equilibrium concept: the Perfect Prediction Equilibrium (PPE). In the Nash paradigm, rational players consider…

Computer Science and Game Theory · Computer Science 2021-02-01 Ghislain Fourny , Stéphane Reiche , Jean-Pierre Dupuy

It is of folkloric belief that the security of classical cryptographic protocols is automatically broken if the Adversary is allowed to perform superposition queries and the honest players forced to perform actions coherently on quantum…

Quantum Physics · Physics 2020-07-03 Luka Music , Céline Chevalier , Elham Kashefi

In this study, we present models where participants strategically select their risk levels and earn corresponding rewards, mirroring real-world competition across various sectors. Our analysis starts with a normal form game involving two…

Computational Finance · Quantitative Finance 2023-05-31 Louis Abraham

In many game settings, the game is not explicitly given but is only accessible by playing it. While there have been impressive demonstrations in such settings, prior techniques have not offered safety guarantees, that is, guarantees on the…

Computer Science and Game Theory · Computer Science 2020-12-17 Brian Hu Zhang , Tuomas Sandholm

In the Eisert protocol for 2 X 2 quantum games [Phys. Rev. Lett. 83, 3077], a number of authors have investigated the features arising from making the strategic space a two-parameter subset of single qubit unitary operators. We argue that…

Quantum Physics · Physics 2009-11-13 Adrian P. Flitney , Lloyd C. L. Hollenberg

Separation logic is a substructural logic which has proved to have numerous and fruitful applications to the verification of programs working on dynamic data structures. Recently, Barthe, Hsu and Liao have proposed a new way of giving…

Cryptography and Security · Computer Science 2024-05-21 Ugo Dal Lago , Davide Davoli , Bruce M. Kapron

In this paper, a Nash-type fictitious game framework is introduced to handle a time-inconsistent linear-quadratic optimal control. The Nash-type game in this framework is called fictitious as it is between the decision maker (called real…

Optimization and Control · Mathematics 2021-10-04 Yuan-Hua Ni , Binbin Si , Xinzhen Zhang

In this study, Nash and Stackelberg equilibria of single-stage and multi-stage quadratic signaling games between an encoder and a decoder are investigated. In the considered setup, the objective functions of the encoder and the decoder are…

Optimization and Control · Mathematics 2021-02-04 Serkan Sarıtaş , Photios A. Stavrou , Ragnar Thobaben , Mikael Skoglund

Is it rational for selfish individuals to cooperate? The conventional answer based on analysis of games such as the Prisoners Dilemma (PD) is that it is not, even though mutual cooperation results in a better outcome for all. This…

Physics and Society · Physics 2015-08-14 V. Sasidevan , Sitabhra Sinha

In this paper, we address the challenge of Nash equilibrium (NE) seeking in non-cooperative convex games with partial-decision information. We propose a distributed algorithm, where each agent refines its strategy through projected-gradient…

Computer Science and Game Theory · Computer Science 2023-09-15 Duong Thuy Anh Nguyen , Mattia Bianchi , Florian Dörfler , Duong Tung Nguyen , Angelia Nedić

In the context of multi-player, general-sum games, there is an increasing interest in solution concepts modeling some form of communication among players, since they can lead to socially better outcomes with respect to Nash equilibria, and…

Computer Science and Game Theory · Computer Science 2019-10-15 Andrea Celli , Alberto Marchesi , Tommaso Bianchi , Nicola Gatti

We consider a discrete population of users with homogeneous service demand who need to decide when to arrive to a system in which the service rate deteriorates linearly with the number of users in the system. The users have heterogeneous…

Computer Science and Game Theory · Computer Science 2016-05-30 Liron Ravner , Moshe Haviv , Hai L. Vu

Game theory has been applied to investigate network security. But different security scenarios were often modeled via different types of games and analyzed in an ad-hoc manner. In this paper, we propose an algebraic approach for modeling…

Cryptography and Security · Computer Science 2016-06-16 Qian Zhang , Ying Jiang , Peng Wu

As quantum processors advance, the emergence of large-scale decentralized systems involving interacting quantum-enabled agents is on the horizon. Recent research efforts have explored quantum versions of Nash and correlated equilibria as…

Computer Science and Game Theory · Computer Science 2024-12-18 Wayne Lin , Georgios Piliouras , Ryann Sim , Antonios Varvitsiotis

Secure Message Transmission (SMT) is a two-party cryptographic protocol by which the sender can securely and reliably transmit messages to the receiver using multiple channels. An adversary can corrupt a subset of the channels and commit…

Cryptography and Security · Computer Science 2021-12-30 Maiki Fujita , Takeshi Koshiba , Kenji Yasunaga

Incentive mechanisms are central to the functionality of permissionless blockchains: they incentivize participants to run and secure the underlying consensus protocol. Designing incentive-compatible incentive mechanisms is notoriously…

Cryptography and Security · Computer Science 2020-08-06 Charlie Hou , Mingxun Zhou , Yan Ji , Phil Daian , Florian Tramer , Giulia Fanti , Ari Juels

While Online Gradient Descent and other no-regret learning procedures are known to efficiently converge to a coarse correlated equilibrium in games where each agent's utility is concave in their own strategy, this is not the case when…

Computer Science and Game Theory · Computer Science 2025-04-22 Yang Cai , Constantinos Daskalakis , Haipeng Luo , Chen-Yu Wei , Weiqiang Zheng

Cut games are among the most fundamental strategic games in algorithmic game theory. It is well-known that computing an exact pure Nash equilibrium in these games is PLS-hard, so research has focused on computing approximate equilibria. We…

Computer Science and Game Theory · Computer Science 2022-11-09 Ioannis Caragiannis , Zhile Jiang

The central result of classical game theory states that every finite normal form game has a Nash equilibrium, provided that players are allowed to use randomized (mixed) strategies. However, in practice, humans are known to be bad at…

Computer Science and Game Theory · Computer Science 2015-07-07 Pavel Hubáček , Moni Naor , Jonathan Ullman
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