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View article: Jim137/qkan: v0.1.4
Jim137/qkan: v0.1.4 Open
What's Changed fix callable solver and ansatz by @Jim137 in https://github.com/Jim137/qkan/pull/5 Full Changelog: https://github.com/Jim137/qkan/compare/v0.1.3...v0.1.4
View article: GMFG critical nodes for control affine systems with exponentiated costs
GMFG critical nodes for control affine systems with exponentiated costs Open
View article: Mean field social optimization: feedback person-by-person optimality and the dynamic programming equation
Mean field social optimization: feedback person-by-person optimality and the dynamic programming equation Open
We consider mean field social optimization in nonlinear diffusion models. By dynamic programming with a representative agent employing cooperative optimizer selection, we derive a new Hamilton--Jacobi--Bellman (HJB) equation to be called t…
View article: Protection of workers' rights and interests in the problem of algorithmic discrimination: legal challenges and response strategies
Protection of workers' rights and interests in the problem of algorithmic discrimination: legal challenges and response strategies Open
With the widespread application of artificial intelligence and algorithms in the recruitment process, the problem of discrimination in algorithms' employ-ment is becoming increasingly prominent, posing new challenges to the rights and inte…
View article: The Theoretical Logic and Practical Path of Adhering to the Unity of Rule of Law and Rule of Party in the New Era
The Theoretical Logic and Practical Path of Adhering to the Unity of Rule of Law and Rule of Party in the New Era Open
The new era puts forward higher requirements for the unity of the rule of law and the rule of law, and the realization of the organic unity of the two has be-come an important goal of the modernization of the party and the national gov-ern…
View article: Mean Field Games on Large Sparse Network Limits: Laplexion Dynamics on Graphexons
Mean Field Games on Large Sparse Network Limits: Laplexion Dynamics on Graphexons Open
View article: On a best response problem arising in mean field stochastic growth games with common noise
On a best response problem arising in mean field stochastic growth games with common noise Open
This paper analyzes the best response control problem arising in mean field stochastic growth. We consider mean field games in the setting of stochastic growth where each player's capital stock is described by Cobb–Douglas production dynam…
View article: Critical Nash Value Nodes for Control Affine Embedded Graphon Mean Field Games*
Critical Nash Value Nodes for Control Affine Embedded Graphon Mean Field Games* Open
Graphon Mean Field Games (GMFGs) (Caines and Huang (2021)) constitute generalizations of Mean Field Games to the case where the agents form subpopulations associated with the nodes of large graphs. The work in (Foguen-Tchuendom et al. (202…
View article: Research on the Chemical Hazard Risk of Toys Exported to EU from China Based on the Analysis of the EU “Safety Gate” Alerts Cases
Research on the Chemical Hazard Risk of Toys Exported to EU from China Based on the Analysis of the EU “Safety Gate” Alerts Cases Open
Based on the analysis of the 2544 alert cases from “Safety Gate” (the EU rapid alert system for dangerous non-food products) of toys exported to the EU market from China in the past five years (2017-2021), this study focuses on the chemica…
View article: Linear Convergent Distributed Nash Equilibrium Seeking with Compression
Linear Convergent Distributed Nash Equilibrium Seeking with Compression Open
Information compression techniques are majorly employed to address the concern of reducing communication cost over peer-to-peer links. In this paper, we investigate distributed Nash equilibrium (NE) seeking problems in a class of non-coope…
View article: The Influence of Air Nanobubbles on Controlling the Synthesis of Calcium Carbonate Crystals
The Influence of Air Nanobubbles on Controlling the Synthesis of Calcium Carbonate Crystals Open
Numerous approaches have been developed to control the crystalline and morphology of calcium carbonate. In this paper, nanobubbles were studied as a novel aid for the structure transition from vaterite to calcite. The vaterite particles tu…
View article: On the Graphon Mean Field Game equations: Individual agent affine dynamics and mean field dependent performance functions
On the Graphon Mean Field Game equations: Individual agent affine dynamics and mean field dependent performance functions Open
This paper establishes unique solvability of a class of Graphon Mean Field Game equations. The special case of a constant graphon yields the result for the Mean Field Game equations.
View article: Linear Quadratic Mean Field Games: Decentralized O(1/N)-Nash Equilibria
Linear Quadratic Mean Field Games: Decentralized O(1/N)-Nash Equilibria Open
View article: Linear quadratic mean field games: Decentralized $O(1/N)$-Nash equilibria
Linear quadratic mean field games: Decentralized $O(1/N)$-Nash equilibria Open
This paper studies an asymptotic solvability problem for linear quadratic (LQ) mean field games with controlled diffusions and indefinite weights for the state and control in the costs. We employ a rescaling approach to derive a low dimens…
View article: Binary Mean Field Stochastic Games: Stationary Equilibria and Comparative Statics
Binary Mean Field Stochastic Games: Stationary Equilibria and Comparative Statics Open
This paper considers mean field games in a multi-agent Markov decision process (MDP) framework. Each player has a continuum state and binary action, and benefits from the improvement of the condition of the overall population. Based on an …
View article: Linear quadratic mean field social optimization: Asymptotic solvability and decentralized control
Linear quadratic mean field social optimization: Asymptotic solvability and decentralized control Open
This paper studies asymptotic solvability of a linear quadratic (LQ) mean field social optimization problem with controlled diffusions and indefinite state and control weights. Starting with an $N$-agent model, we employ a rescaling approa…
View article: Mean-Field Transmission Power Control in Dense Networks
Mean-Field Transmission Power Control in Dense Networks Open
We consider uplink power control in wireless communication when a large number of users compete over the channel resources. The CDMA protocol, as a supporting technology of 3G networks accommodating signal from different sources over the c…
View article: Linear-Quadratic Mean Field Games with a Major Player: Nash certainty equivalence versus master equations
Linear-Quadratic Mean Field Games with a Major Player: Nash certainty equivalence versus master equations Open
Mean field games with a major player were introduced in (Huang, 2010) within a linear-quadratic (LQ) modeling framework. Due to the rich structure of major-minor player models, the past ten years have seen significant research efforts for …
View article: On the Graphon Mean Field Game Equations: Individual Agent Affine Dynamics and Mean Field Dependent Performance Functions
On the Graphon Mean Field Game Equations: Individual Agent Affine Dynamics and Mean Field Dependent Performance Functions Open
This paper establishes unique solvability of a class of Graphon Mean Field Game equations. The special case of a constant graphon yields the result for the Mean Field Game equations.
View article: Composite Scheme of Comprehensive Improvement for Urban Rivers
Composite Scheme of Comprehensive Improvement for Urban Rivers Open
The work of comprehensive improvement for urban rivers has been put on the daily agenda. This paper introduces in detail a comprehensive treatment scheme integrating anti-pollution, treating-pollution and monitoring maintenance in views of…
View article: Study on the Combined Conditioning Effect of High Efficiency Dehydration of River Sediment
Study on the Combined Conditioning Effect of High Efficiency Dehydration of River Sediment Open
It is the most difficult problem for treating river sediment through the work of the whole river regulation. How to solve the problem of low efficiency of river sediment dewatering has become an urgent problem. In this paper, the sediment …
View article: LQG Graphon Mean Field Games: Analysis via Graphon Invariant Subspaces
LQG Graphon Mean Field Games: Analysis via Graphon Invariant Subspaces Open
This paper studies approximate solutions to large-scale linear quadratic stochastic games with homogeneous nodal dynamics parameters and heterogeneous network couplings within the graphon mean field game framework in [2]-[4]. A graphon tim…
View article: LQG Graphon Mean Field Games.
LQG Graphon Mean Field Games. Open
This paper formulates infinite dimensional graphon dynamical systems to study the limit problem of linear quadratic Gaussian graphon mean field game (LQG-GMFG). The limit problem is characterized by forward and backward graphon dynamical s…
View article: Mean Field Stackelberg Games: State Feedback Equilibrium
Mean Field Stackelberg Games: State Feedback Equilibrium Open
We study mean field Stackelberg games between a major player (the leader) and a large population of minor players (the followers). By treating the mean field as part of the dynamics of the major player and a representative minor player, we…
View article: Mean-Field Transmission Power Control in Dense Networks, Part I - Characterization of the Equilibrium Strategy.
Mean-Field Transmission Power Control in Dense Networks, Part I - Characterization of the Equilibrium Strategy. Open
We consider uplink power control in wireless communication when massive users compete over the channel resources. The CDMA protocol, as a supporting technology of 3G networks accommodating signal from different sources over the code domain…
View article: Linear-Quadratic Mean Field Social Optimization with a Major Player
Linear-Quadratic Mean Field Social Optimization with a Major Player Open
This paper considers a linear-quadratic (LQ) mean field control problem involving a major player and a large number of minor players, where the dynamics and costs depend on random parameters. The objective is to optimize a social cost as a…
View article: Linear quadratic mean field games: Asymptotic solvability and relation to the fixed point approach
Linear quadratic mean field games: Asymptotic solvability and relation to the fixed point approach Open
Mean field game theory has been developed largely following two routes. One of them, called the direct approach, starts by solving a large-scale game and next derives a set of limiting equations as the population size tends to infinity. Th…
View article: Linear quadratic mean field games with a major player: The multi-scale approach
Linear quadratic mean field games with a major player: The multi-scale approach Open
This paper considers linear quadratic (LQ) mean field games with a major player and analyzes an asymptotic solvability problem. It starts with a large-scale system of coupled dynamic programming equations and applies a re-scaling technique…
View article: Graphon mean field games and the GMFG equations
Graphon mean field games and the GMFG equations Open
Very large networks linking dynamical agents are now ubiquitous and there is significant interest in their analysis, design and control. The emergence of the graphon theory of large networks and their infinite limits has recently enabled t…
View article: Mean Field Production Output Control with Sticky Prices: Nash and Social Solutions
Mean Field Production Output Control with Sticky Prices: Nash and Social Solutions Open
This paper presents an application of mean field control to dynamic production optimization. Both noncooperative and cooperative solutions are considered. We first introduce a market of a large number of agents (firms) with sticky prices a…