10 papers
A Sequence-Form Formulation of Logistic Quantal Response Equilibrium in Extensive-Form Games for Selecting Nash Equilibria
Yuqing Hou, Yiyin Cao, Chuangyin Dang +1
For an extensive-form game, logistic quantal response equilibrium (QRE) is defined with respect to its associated normal form and provides a natural equilibrium-selection mechanism…
Characterization and Computation of Normal-Form Proper Equilibria in Extensive-Form Games via the Sequence-Form Representation
Yuqing Hou, Yiyin Cao, Chuangyin Dang
Normal-form proper equilibrium, introduced by Myerson as a refinement of normal-form perfect equilibrium, plays an important role in the equilibrium analysis of extensive-form game…
Enhancing Adversarial Robustness with Conformal Prediction: A Framework for Guaranteed Model Reliability
Jie Bao, Chuangyin Dang, Rui Luo +2
As deep learning models are increasingly deployed in high-risk applications, robust defenses against adversarial attacks and reliable performance guarantees become paramount. Moreo…
A Characterization of Reny's Weakly Sequentially Rational Equilibrium through -Perfect -Weakly Sequentially Rational Equilibrium
Yiyin Cao, Chuangyin Dang
A weakening of sequential rationality of sequential equilibrium yields Reny's (1992) weakly sequentially rational equilibrium (WSRE) in extensive-form games. WSRE requires Kreps an…
A Sequence-Form Characterization and Differentiable Path-Following Method for Computing Normal-Form Perfect Equilibria in Extensive-Form Games
Yuqing Hou, Yiyin Cao, Chuangyin Dang +1
The sequence form, owing to its compact and holistic strategy representation, has demonstrated significant efficiency in computing normal-form perfect equilibria for two-player ext…
A Characterization of Nash Equilibrium in Behavioral Strategies through Local Sequential Rationality
Yiyin Cao, Chuangyin Dang
The concept of Nash equilibrium in behavioral strategies (NashEBS) was formulated By Nash~\cite{Nash (1951)} for an extensive-form game through global rationality of nonconvex payo…
Robust Nash equilibrium seeking based on semi-Markov switching topologies
Jianing Chen, Sitian Qin, Chuangyin Dang
This paper investigates a distributed robust Nash Equilibrium (NE) seeking problem for second-order players subject to external disturbances and uncertain dynamics while communicat…
A Characterization of Sequential Equilibrium through -Perfect -Sequential Equilibrium with Local Sequential Rationality and Its Computation
Yiyin Cao, Chuangyin Dang
Sequential equilibrium requires a consistent assessment and sequential rationality, where the consistent assessment emerges from a convergent sequence of totally mixed behavioral s…
Game-Theoretic Defenses for Robust Conformal Prediction Against Adversarial Attacks in Medical Imaging
Rui Luo, Jie Bao, Zhixin Zhou +1
Adversarial attacks pose significant threats to the reliability and safety of deep learning models, especially in critical domains such as medical imaging. This paper introduces a…
Continuous-Time Distributed Seeking for Variational Generalized Nash Equilibrium of Online Game
Jianing Chen, Sichen Qian, Chuangyin Dang +1
This paper mainly investigates a class of distributed Variational Generalized Nash Equilibrium (VGNE) seeking problems for both online noncooperative games and online aggregative g…