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— The purpose of this paper is to understand phase transition in noncooperative dynamic games with a large number of agents. Applications are found in neuroscience, biology, economics, as well as traditional engineering applications. The focus of analysis is a variation of the large population LQG model of Huang et. al. 2007 [6], comprised here of a… (More)

Generalized Nash equilibria (GNE) represent extensions of the Nash solution concept when the strategy sets are coupled across agents. In this paper, we consider generalized Nash games in which agents face a congestion cost and contend with shared network constraints. Our work emphasizes (i) the analysis and (ii) the distributed computation of the resulting… (More)

Generalized Nash equilibria (GNE) represent extensions of the Nash solution concept when the strategy sets are coupled across agents. We consider a restricted class of such games, referred to as generalized Nash games, in which the agents contend with shared or common constraints and their payoff functions are further linked via a scaled congestion cost… (More)

- He Hao, Huibing Yin, Zhen Kan
- ACC
- 2012

— We study the robustness to external disturbances of large 1-D network of double-integrator agents with distributed control. We provide precise quantitative comparison of certain H∞ norm between two common control architec-tures: predecessor-following and symmetric bidirectional. In particular, we show that the scaling laws of the H∞ norm for… (More)

A key question in the design of engineered competitive systems has been that of the efficiency loss of the associated equilibria. Yet, there is little known in this regard in the context of stochastic dynamic games, particularly in a large population regime. In this paper , we revisit a class of noncooperative games, arising from the synchronization of a… (More)

—This paper describes the joint probabilistic data association-feedback particle filter (JPDA-FPF) introduced in our earlier paper [1]. The JPDA-FPF is based on the feedback particle filter concept (see [2],[3]). A remarkable feature of the JPDA-FPF algorithm is its innovation error-based feedback structure, even with data association uncertainty in the… (More)

— This paper studies the phase transition in a heterogeneous mean-field oscillator game model using methods from bifurcation theory. In our earlier paper [1], we had obtained a coupled PDE model using mean-field approximation and described linear analysis of the PDEs that suggested possibility of a Hamiltonian Hopf bifurcation. In this paper, we simplify… (More)

— This research concerns a noncooperative dynamic game with large number of oscillators. The states are interpreted as the phase angles for a collection of non-homogeneous oscillators, and in this way the model may be regarded as an extension of the classical coupled oscillator model of Kuramoto. We introduce approximate dynamic programming (ADP) techniques… (More)

In this paper, we investigate stability, bifurcation and oscillations arising in a single-link communication network model with a large number of heterogeneous users adopting a Transmission Control Protocol (TCP)-like rate control scheme with an Active Queue Management (AQM) router. In the system considered different user delays are known and fixed but… (More)