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In this second part of our two-part paper, we invoke the stochastic maximum principle, conditional Hamiltonian and the coupled backward-forward stochastic differential equations of the first part [1] to derive team optimal decentralized…

Optimization and Control · Mathematics 2013-02-15 Charalambos D. Charalambous , Nasir U. Ahmed

We consider a team game reward, and we derive a stochastic Pontryagin's maximum principle for distributed stochastic differential systems with decentralized noisy information structures. Our methodology utilizes the semi martingale…

Optimization and Control · Mathematics 2013-04-12 Charalambos D. Charalambous , N. U. Ahmed

In this paper, we derive team and person-by-person optimality conditions for distributed differential decision systems with different or decentralized information structures. The necessary conditions of optimality are given in terms of…

Optimization and Control · Mathematics 2013-05-21 Charalambos D. Charalambous , Themistoklis Charalambous , Christoforos N. Hadjicostis

In this paper we generalized static team theory to dynamic team theory, in the context of stochastic differential decision system with decentralized noiseless feedback information structures. We apply Girsanov's theorem to transformed the…

Optimization and Control · Mathematics 2013-10-08 Charalambos D. Charalambous

In this paper, we present two methods which generalize static team theory to dynamic team theory, in the context of continuous-time stochastic nonlinear differential decentralized decision systems, with relaxed strategies, which are…

Optimization and Control · Mathematics 2013-10-11 Charalambos D. Charalambous , Nasir U. Ahmed

Stochastic dynamic teams and games are rich models for decentralized systems and challenging testing grounds for multi-agent learning. Previous work that guaranteed team optimality assumed stateless dynamics, or an explicit coordination…

Optimization and Control · Mathematics 2024-03-28 Bora Yongacoglu , Gürdal Arslan , Serdar Yüksel

In this paper, we consider sequential dynamic team decision problems with nonclassical information structures. First, we address the problem from the point of view of a ``manager" who seeks to derive the optimal strategy of the team in a…

Optimization and Control · Mathematics 2024-07-23 Andreas A. Malikopoulos

We study stochastic static teams with countably infinite number of decision makers, with the goal of obtaining (globally) optimal policies under a decentralized information structure. We present sufficient conditions to connect the concepts…

Optimization and Control · Mathematics 2020-05-14 Sina Sanjari , Serdar Yüksel

Variational inequalities are a formalism that includes games, minimization, saddle point, and equilibrium problems as special cases. Methods for variational inequalities are therefore universal approaches for many applied tasks, including…

Witsenhausen, in his seminal 1971 paper [1], introduced decentralized partially observable Markov decision problems (POMDPs), with multiple agents or controls operating under T-step delayed sharing information patterns. A fundamental…

Systems and Control · Electrical Eng. & Systems 2026-05-28 Charalambos D. Charalambous , Umarbek Guvercin , Seddik Djouadi

In stochastic optimal control, change of measure arguments have been crucial for stochastic analysis. Such an approach is often called static reduction in dynamic team theory (or decentralized stochastic control) and has been an effective…

Optimization and Control · Mathematics 2021-11-30 Sina Sanjari , Tamer Başar , Serdar Yüksel

We consider a cooperative multi-agent system consisting of a team of agents with decentralized information. Our focus is on the design of symmetric (i.e. identical) strategies for the agents in order to optimize a finite horizon team…

Optimization and Control · Mathematics 2023-07-17 Sagar Sudhakara , Ashutosh Nayyar

This paper considers linear quadratic team decision problems where the players in the team affect each other's information structure through their decisions. Whereas the stochastic version of the problem is well known to be complex with…

Optimization and Control · Mathematics 2013-02-05 Ather Gattami

There are only a few learning algorithms applicable to stochastic dynamic teams and games which generalize Markov decision processes to decentralized stochastic control problems involving possibly self-interested decision makers. Learning…

Optimization and Control · Mathematics 2016-05-03 Gürdal Arslan , Serdar Yüksel

Distributed model predictive control (MPC) has been proven a successful method in regulating the operation of large-scale networks of constrained dynamical systems. This paper is concerned with cooperative distributed MPC in which the…

Optimization and Control · Mathematics 2021-06-29 Georgios Darivianakis , Angelos Georghiou , John Lygeros

We study stochastic team (known also as decentralized stochastic control or identical interest stochastic dynamic game) problems with large or countably infinite number of decision makers, and characterize existence and structural…

Optimization and Control · Mathematics 2021-07-08 Sina Sanjari , Naci Saldi , Serdar Yüksel

In this article, we introduce decentralized Kalman filters for linear quadratic deep structured teams. The agents in deep structured teams are coupled in dynamics, costs and measurements through a set of linear regressions of the states and…

Multiagent Systems · Computer Science 2021-10-26 Jalal Arabneydi , Amir G. Aghdam

Decentralized optimization is widely used in large scale and privacy preserving machine learning and various distributed control and sensing systems. It is assumed that every agent in the network possesses a local objective function, and…

Optimization and Control · Mathematics 2023-01-31 Savelii Chezhegov , Anton Novitskii , Alexander Rogozin , Sergei Parsegov , Pavel Dvurechensky , Alexander Gasnikov

We study the problem of achieving decentralized coordination by a group of strategic decision makers choosing to engage or not in a task in a stochastic setting. First, we define a class of symmetric utility games that encompass a broad…

Systems and Control · Electrical Eng. & Systems 2023-04-05 Marcos M. Vasconcelos , Behrouz Touri

Decentralized optimization enables multiple devices to learn a global machine learning model while each individual device only has access to its local dataset. By avoiding the need for training data to leave individual users' devices, it…

Machine Learning · Computer Science 2026-04-22 Ziqin Chen , Zuang Wang , Yongqiang Wang
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