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cs.LG2025

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…

econ.TH2025

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…

cs.GT2025

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…

econ.TH2025

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…

math.OC2025

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…

econ.TH2025

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…