Interacting nonlinear reinforced stochastic processes: Synchronization or non-synchronization
DOI10.1017/apr.2022.18zbMath1523.60161arXiv2008.01489MaRDI QIDQ6159386
Pierre-Yves Louis, Irene Crimaldi, Ida Germana Minelli
Publication date: 5 May 2023
Published in: Advances in Applied Probability (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.01489
game theorystochastic approximationreinforcement learningurn modelinteracting agentsgeneralized Pólya urninteracting stochastic processesreinforced stochastic processCODA modelsnonlinear Pólya urntechnological dynamics
Applications of statistics to economics (62P20) Social networks; opinion dynamics (91D30) Applications of statistics to social sciences (62P25) Strong limit theorems (60F15) Interacting random processes; statistical mechanics type models; percolation theory (60K35) Stochastic approximation (62L20)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Randomized urn models revisited using stochastic approximation
- Central limit theorems of a recursive stochastic algorithm with applications to adaptive designs
- On a notion of partially conditionally identically distributed sequences
- Collective periodicity in mean-field models of cooperative behavior
- An evolutionary model of endogenous business cycles
- Nonconvergence to unstable points in urn models and stochastic approximations
- Endogenous neighborhood formation in a local coordination model with negative network externalities
- Contagion and efficiency
- A survey of random processes with reinforcement
- Majority rule, hierarchical structures, and democratic totalitarianism: A statistical approach
- A strong law for some generalized urn processes
- The statistical mechanics of strategic interaction
- Generalized urn schemes and technological dynamics
- Central limit theorem for an adaptive randomly reinforced urn model
- Dynamics of an adaptive randomly reinforced urn
- Synchronization of reinforced stochastic processes with a network-based interaction
- Synchronization and functional central limit theorems for interacting reinforced random walks
- On a preferential attachment and generalized Pólya's urn model
- Nonparametric covariate-adjusted response-adaptive design based on a functional urn model
- An urn model with random multiple drawing and random addition
- The evolution of conventions under condition-dependent mistakes
- Delay-induced periodic behaviour in competitive populations
- Trust in the CODA model: opinion dynamics and the reliability of other agents
- Opinion dynamics with Lotka-Volterra type interactions
- Interacting reinforced stochastic processes: statistical inference based on the weighted empirical means
- Networks of reinforced stochastic processes: asymptotics for the empirical means
- Interacting generalized Friedman's urn systems
- Learning, information, and sorting in market entry games: theory and evidence
- A generalized Pólya's urn with graph based interactions: convergence at linearity
- Asymptotics of a matrix valued Markov chain arising in sociology.
- Central limit theorems for stochastic approximation with controlled Markov chain dynamics
- Graph-based Pólya’s urn: Completion of the linear case
- Asymptotics for randomly reinforced urns with random barriers
- Synchronization and fluctuation theorems for interacting Friedman urns
- Rapid innovation diffusion in social networks
- Learning, Local Interaction, and Coordination
- Polya Urn Models
- CONTINUOUS OPINIONS AND DISCRETE ACTIONS IN OPINION DYNAMICS PROBLEMS
- A dynamic model of social network formation
- Synchronization in Interacting Reinforced Stochastic Processes
- Interacting reinforced-urn systems
- MATCHING, BARGAINING, AND WAGE SETTING IN AN EVOLUTIONARY MODEL OF LABOR MARKET AND OUTPUT DYNAMICS
- Multiple drawing multi-colour urns by stochastic approximation
- The rescaled Pólya urn: local reinforcement and chi-squared goodness-of-fit test
- Synchronization via Interacting Reinforcement
- A generalized Pólya's urn with graph based interactions
- Learning, Mutation, and Long Run Equilibria in Games
- On Generalized Pólya Urn Models
- Multimarket contact, imperfect monitoring, and implicit collusion
- Fluctuation theorems for synchronization of interacting Pólya's urns
This page was built for publication: Interacting nonlinear reinforced stochastic processes: Synchronization or non-synchronization
