Common Information Approach for Static Team Problems with Polish Spaces and Existence of Optimal Policies

التفاصيل البيبلوغرافية
العنوان: Common Information Approach for Static Team Problems with Polish Spaces and Existence of Optimal Policies
المؤلفون: Saldi, Naci
سنة النشر: 2023
المجموعة: Computer Science
Mathematics
مصطلحات موضوعية: Electrical Engineering and Systems Science - Systems and Control, Mathematics - Optimization and Control
الوصف: In this paper, we demonstrate the existence of team-optimal strategies for static teams under observation-sharing information structures. Assuming that agents can access shared observations, we begin by converting the team problem into an equivalent centralized stochastic control problem through the introduction of a topology on policies. We subsequently apply conventional methods from stochastic control to prove the existence of team-optimal strategies. This study expands upon the widely recognized common information approach for team problems, originally designed for discrete scenarios, and adapts it to a more abstract continuous framework. The primary difficulty in this context is to establish the appropriate topology on policies.
Comment: arXiv admin note: text overlap with arXiv:1711.00639
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2309.07571
رقم الأكسشن: edsarx.2309.07571
قاعدة البيانات: arXiv