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Stochastic approximation, cooperative dynamics and supermodular games

https://doi.org/10.1214/11-aap816
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1006/game.1993.1021openalex-snapshot
Learning Mixed Equilibria
inferredcites →https://doi.org/10.1006/game.1999.0717openalex-snapshot
Mixed Equilibria and Dynamical Systems Arising from Fictitious Play in Perturbed Games
inferredcites →https://doi.org/10.1007/978-1-4684-9352-8openalex-snapshot
Stochastic Approximation Methods for Constrained and Unconstrained Systems
inferredcites →https://doi.org/10.1007/978-3-642-75894-2_11openalex-snapshot
Gaussian Approximations to the Algorithms
inferredcites →https://doi.org/10.1007/bf01737554openalex-snapshot
Games with randomly disturbed payoffs: A new rationale for mixed-strategy equilibrium points
inferredcites →https://doi.org/10.1007/bf02218617openalex-snapshot
Asymptotic pseudotrajectories and chain recurrent flows, with applications
inferredcites →https://doi.org/10.1007/bfb0096509openalex-snapshot
Dynamics of stochastic approximation algorithms
inferredcites →https://doi.org/10.1016/0022-247x(91)90188-6openalex-snapshot
Attractors in strongly monotone flows
inferredcites →https://doi.org/10.1016/b978-0-12-319350-6.50009-8openalex-snapshot
The Central Limit Theorem
inferredcites →https://doi.org/10.1017/s0143385700009767openalex-snapshot
Dynamics of Morse-Smale urn processes
inferredcites →https://doi.org/10.1088/0951-7715/1/1/003openalex-snapshot
Systems of differential equations which are competitive or cooperative: III. Competing species
inferredcites →https://doi.org/10.1088/0951-7715/13/3/305openalex-snapshot
Convergence with probability one of stochastic approximation algorithms whose average is cooperative
inferredcites →https://doi.org/10.1090/cbms/038openalex-snapshot
Isolated Invariant Sets and the Morse Index
inferredcites →https://doi.org/10.1109/tac.1977.1101561openalex-snapshot
Analysis of recursive stochastic algorithms
inferredcites →https://doi.org/10.1109/twc.2004.830826openalex-snapshot
Convergence of Proportional-Fair Sharing Algorithms Under General Conditions
inferredcites →https://doi.org/10.1111/j.1468-0262.2002.00440.xopenalex-snapshot
On the Global Convergence of Stochastic Fictitious Play
inferredcites →https://doi.org/10.1137/0317054openalex-snapshot
Equilibrium Points in Nonzero-Sum n -Person Submodular Games
inferredcites →https://doi.org/10.1137/0516030openalex-snapshot
Systems of Differential Equations that are Competitive or Cooperative II: Convergence Almost Everywhere
inferredcites →https://doi.org/10.1137/s0363012993253534openalex-snapshot
A Dynamical System Approach to Stochastic Approximations
inferredcites →https://doi.org/10.1214/07-ps094openalex-snapshot
A survey of random processes with reinforcement
inferredcites →https://doi.org/10.1214/aoap/1027961044openalex-snapshot
Asymptotic behavior of self-organizing maps with nonuniform stimuli distribution
inferredcites →https://doi.org/10.1214/aoap/1029962603openalex-snapshot
Stochastic approximation algorithms with constant step size whose average is cooperative
inferredcites →https://doi.org/10.1214/aoms/1177729392openalex-snapshot
Stochastic Estimation of the Maximum of a Regression Function
inferredcites →https://doi.org/10.1214/aoms/1177729586openalex-snapshot
A Stochastic Approximation Method
inferredcites →https://doi.org/10.1214/aop/1176990853openalex-snapshot
Nonconvergence to Unstable Points in Urn Models and Stochastic Approximations
inferredcites →https://doi.org/10.2202/1935-1704.1452openalex-snapshot
Learning in Bayesian Games with Binary Actions
inferredcites →https://doi.org/10.2307/2938316openalex-snapshot
Rationalizability, Learning, and Equilibrium in Games with Strategic Complementarities
inferredcites →https://doi.org/10.4028/0-87849-420-0.385openalex-snapshot
AE-Testing in Potentially Explosive Atmospheres - From the Requirements to an Intrinsically Safe System-Certified Realization
inferredcites →https://doi.org/10.48550/arxiv.1204.1703openalex-snapshot
Chain transitive sets for smooth strongly monotone dynamical systems

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.2139/ssrn.2019818openalex-extracted
Selection of Conventions
inferred← citeshttps://doi.org/10.1016/b978-0-444-53766-9.00013-6openalex-snapshot
Population Games and Deterministic Evolutionary Dynamics
inferred← citeshttps://doi.org/10.1016/j.jet.2014.09.014openalex-snapshot
Convergence in models with bounded expected relative hazard rates
inferred← citeshttps://doi.org/10.1109/cdc40024.2019.9028909openalex-snapshot
Majority Determination on Binary-valued Communication Networks
inferred← citeshttps://doi.org/10.1109/tac.2023.3291953openalex-snapshot
Second-Order Mirror Descent: Convergence in Games Beyond Averaging and Discounting
inferred← citeshttps://doi.org/10.1109/tcns.2020.3038839openalex-snapshot
Majority Determination in Binary-Valued Communication Networks
inferred← citeshttps://doi.org/10.1137/130936488openalex-snapshot
Reinforcement Learning with Restrictions on the Action Set
inferred← citeshttps://doi.org/10.1137/22m1515550openalex-snapshot
Stochastic Fixed-Point Iterations for Nonexpansive Maps: Convergence and Error Bounds
inferred← citeshttps://doi.org/10.1145/3331041.3331048openalex-snapshot
Game dynamics as the meaning of a game
inferred← citeshttps://doi.org/10.1155/2019/6963290openalex-snapshot
Cross-Layer Optimized Energy-Balanced Topology Control Algorithm for WSNs
inferred← citeshttps://doi.org/10.1214/22-aap1829openalex-snapshot
Stochastic approximation with discontinuous dynamics, differential inclusions, and applications
inferred← citeshttps://doi.org/10.3934/jdg.2015.2.117openalex-snapshot
Learning in monotone bayesian games
inferred← citeshttps://doi.org/10.3934/jdg.2018017openalex-snapshot
On the stability of an adaptive learning dynamics in traffic games
inferred← citeshttps://doi.org/10.3982/te3435openalex-snapshot
Learning with minimal information in continuous games
inferred← citeshttps://doi.org/10.48550/arxiv.1208.3088openalex-snapshot
Convergence in Models with Bounded Expected Relative Hazard Rates
inferred← citeshttps://doi.org/10.48550/arxiv.1807.01256openalex-snapshot
On the stability of an adaptive learning dynamics in traffic games
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