From the 1 of 6 linked papers with an AI index.
6 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
The paper introduces a sequence‑form approach to compute logistic quantal response equilibria in extensive‑form games by using a dilated‑entropy barrier game, enabling a differenti…
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, occupies a distinctive position in the equilibrium analysis of extensive-f…
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 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 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…
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…