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This paper handles a kind of strategic game called potential games and develops a novel learning algorithm Payoff-based Inhomogeneous Partially Irrational Play (PIPIP). The present algorithm is based on Distributed Inhomogeneous Synchronous…

Systems and Control · Computer Science 2011-07-26 Tatsuhiko Goto , Takeshi Hatanaka , Masayuki Fujita

This paper presents a potential game approach for distributed cooperative selection of informative sensors, when the goal is to maximize the mutual information between the measurement variables and the quantities of interest. It is proved…

Systems and Control · Computer Science 2014-03-05 Han-Lim Choi , Su-Jin Lee

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

This paper proposes a strategic model of pollution control. A firm, representative of the productive sector of a country, aims at maximizing its profits by expanding its production. Assuming that the output of production is proportional to…

Optimization and Control · Mathematics 2018-06-08 Giorgio Ferrari , Torben Koch

This study investigates an adaptive pricing scheme aimed at achieving an efficient state in a traffic congestion game characterized by a diverse population of road users. While the planner possesses knowledge of players' preferences, their…

Theoretical Economics · Economics 2025-12-22 Shota Fujishima

In this paper, we rigorously study the problem of cost optimisation of hybrid (mixed) institutional incentives, which are a plan of actions involving the use of reward and punishment by an external decision-maker, for maximising the level…

Populations and Evolution · Quantitative Biology 2023-10-09 M. H. Duong , C. M. Durbac , T. A. Han

We study a class of deterministic mean field games on finite and infinite time horizons arising in models of optimal exploitation of exhaustible resources. The main characteristic of our game is an absorption constraint on the players'…

General Economics · Economics 2021-04-14 Paulwin Graewe , Ulrich Horst , Ronnie Sircar

We characterize the shape of spatial externalities in a continuous time and space differential game with transboundary pollution. We posit a realistic spatiotemporal law of motion for pollution (diffusion and advection), and tackle…

Theoretical Economics · Economics 2021-12-21 Raouf Boucekkine , Giorgio Fabbri , Salvatore Federico , Fausto Gozzi

In this paper, we consider the problem of pollution control in a system that undergoes regular regime shifts. We first show that the optimal policy of pollution abatement is periodic as well, and is described by the unique hybrid limit…

Systems and Control · Electrical Eng. & Systems 2023-05-30 Dmitry Gromov , Tadashi Shigoka , Anton Bondarev

We analyze a differential game with spatially distributed controls to study a multiregional transboundary pollution problem. The dynamics of the state variable (pollution stock) is defined by a two dimensional parabolic partial differential…

Optimization and Control · Mathematics 2021-03-23 Javier de Frutos , Paula López , Guiomar Martín-Herrán

Most conventional heterogeneous network selection strategies applied in heterogeneous vehicular network regard the performance of each network constant in various traffic scenarios. This assumption leads such strategies to be ineffective in…

Networking and Internet Architecture · Computer Science 2019-05-28 Xiangmo Zhao , Xiaochi Li , Zhigang Xu , Ting Chen

One of the contributions of this work is to formulate the problem of energy-efficient power control in multiple access channels (namely, channels which comprise several transmitters and one receiver) as a stochastic differential game. The…

Networking and Internet Architecture · Computer Science 2013-05-14 François Mériaux , Samson Lasaulce , Hamidou Tembine

The sustainable use of common-pool resources (CPRs) is a major environmental governance challenge because of their possible over-exploitation. Research in this field has overlooked the feedback between user decisions and resource dynamics.…

Theoretical Economics · Economics 2021-10-04 Chengyi Tu , Paolo DOdorico , Zhe Li , Samir Suweis

This paper studies a nonzero-sum stochastic differential game in the context of shared spatial-domain pollution control. The pollution dynamics are governed by a stochastic partial differential equation (SPDE) driven by a Brownian sheet,…

Optimization and Control · Mathematics 2025-03-10 Nacira Agram , Bernt Øksendal , Frank Proske , Olena Tymoshenko

The game interactions among individuals in nature are often uncertain and dynamically evolving, significantly influencing the persistence of cooperation. However, it remains a formidable challenge to effectively characterize these dynamic…

Computer Science and Game Theory · Computer Science 2026-03-24 Bin Pi , Minyu Feng , Liang-Jian Deng , Xiaojie Chen , Attila Szolnoki

The aim of this paper is to formulate and study a stochastic model for the management of environmental assets in a geographical context where in each place the local authorities take their policy decisions maximizing their own welfare,…

Optimization and Control · Mathematics 2025-10-27 Emmanuelle Augeraud-Véron , Daria Ghilli , Fausto Gozzi , Marta Leocata

We use an evolutionary game model to study the interplay between corporate environmental compliance and enforcement promoted by the policy maker in a country facing a pollution trap, i.e., a scenario in which the vast majority of firms do…

Physics and Society · Physics 2018-02-27 Gabriel Meyer Salomão , André Barreira da Silva Rocha

This paper addresses a continuous-time risk-minimizing two-player zero-sum stochastic differential game (SDG), in which each player aims to minimize its probability of failure. Failure occurs in the event when the state of the game enters…

Optimization and Control · Mathematics 2023-08-23 Apurva Patil , Yujing Zhou , David Fridovich-Keil , Takashi Tanaka

We study time-inconsistent recursive stochastic control problems, i.e., for which the Bellman principle of optimality does not hold. For this class of problems classical optimal controls may fail to exist, or to be relevant in practice, and…

Optimization and Control · Mathematics 2024-03-14 Elisa Mastrogiacomo , Marco Tarsia

This paper is concerned with a partially observed hybrid optimal control problem, where continuous dynamics and discrete events coexist and in particular, the continuous dynamics can be observed while the discrete events, described by a…

Optimization and Control · Mathematics 2023-03-14 Siyu Lv , Jie Xiong , Wen Xu
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