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Policy iteration is a widely used technique to solve the Hamilton Jacobi Bellman (HJB) equation, which arises from nonlinear optimal feedback control theory. Its convergence analysis has attracted much attention in the unconstrained case.…

Optimization and Control · Mathematics 2020-05-19 Sudeep Kundu , Karl Kunisch

Getting a group to adopt cooperative norms is an enduring challenge. But in real-world settings, individuals don't just passively accept static environments, they act both within and upon the social systems that structure their…

Social and Information Networks · Computer Science 2025-02-11 Qiankun Zhong , Nori Jacoby , Ofer Tchernichovski , Seth Frey

Consider a typical organization whose worker agents seek to collectively cooperate for its general betterment. However, each individual agent simultaneously seeks to act to secure a larger chunk than its co-workers of the annual increment…

Machine Learning · Computer Science 2020-10-19 Keyang He , Bikramjit Banerjee , Prashant Doshi

Social exclusion has been regarded as one of the most effective measures to promote the evolution of cooperation. In real society, the way in which social exclusion works can be direct or indirect. However, thus far there is no related work…

Physics and Society · Physics 2022-08-30 Linjie Liu , Xiaojie Chen

Vehicular mobile crowd sensing is a fast-emerging paradigm to collect data about the environment by mounting sensors on vehicles such as taxis. An important problem in vehicular crowd sensing is to design payment mechanisms to incentivize…

Computer Science and Game Theory · Computer Science 2018-09-17 Susu Xu , Weiguang Mao , Yue Cao , Hae Young Noh , Nihar B. Shah

Indirect reciprocity is a key explanation for the exceptional magnitude of cooperation among humans. This literature suggests that a large proportion of human cooperation is driven by social norms and individuals' incentives to maintain a…

Physics and Society · Physics 2024-11-25 Yohsuke Murase , Christian Hilbe

We show that in a situation where individuals have a choice between a costly institute and a free institute to perform a collective action task, the existence of a participation cost promotes cooperation in the costly institute. Despite…

Physics and Society · Physics 2025-12-16 Mohammad Salahshour

Empirical data shows that in the absence of incentives, a peer participating in a Peer-to-Peer (P2P) network wishes to free-riding. Most solutions for providing incentives in P2P networks are based on direct reciprocity, which are not…

Multimedia · Computer Science 2011-02-09 Yu Zhang , Mihaela van der Schaar

We consider a two-road dynamic routing game where the state of one of the roads (the "risky road") is stochastic and may change over time. This generates room for experimentation. A central planner may wish to induce some of the (finite…

Computer Science and Game Theory · Computer Science 2020-01-13 Emily Meigs , Francesca Parise , Asuman Ozdaglar , Daron Acemoglu

The proliferation of algorithmic systems has fueled discussions surrounding the regulation and control of their social impact. Herein, we consider a system whose primary objective is to maximize utility by selecting the most qualified…

Machine Learning · Computer Science 2024-05-21 Hamidreza Montaseri , Amin Gohari

Traffic congestion has dire economic and social impacts in modern metropolitan areas. To address this problem, in this paper we introduce a novel type of model-free transactive controllers to manage vehicle traffic in highway networks for…

Optimization and Control · Mathematics 2022-04-22 Daniel E. Ochoa , Jorge I. Poveda

A sequence of social sensors estimate an unknown parameter (modeled as a state of nature) by performing Bayesian Social Learning, and myopically optimize individual reward functions. The decisions of the social sensors contain quantized…

Social and Information Networks · Computer Science 2020-03-31 Sujay Bhatt , Vikram Krishnamurthy

How can a social planner adaptively incentivize selfish agents who are learning in a strategic environment to induce a socially optimal outcome in the long run? We propose a two-timescale learning dynamics to answer this question in both…

Computer Science and Game Theory · Computer Science 2022-04-13 Chinmay Maheshwari , Kshitij Kulkarni , Manxi Wu , Shankar Sastry

We consider mixed-integer optimal control problems with combinatorial constraints that couple over time such as minimum dwell times. We analyze a lifting and decomposition approach into a mixed-integer optimal control problem without…

Optimization and Control · Mathematics 2021-04-21 Simone Göttlich , Falk M. Hante , Andreas Potschka , Lars Schewe

In this paper we propose a new way of proving the value of a firm that is currently producing a certain product and faces the option to exit the market. The problem of optimal exiting is an optimal stopping problem, that can be solved using…

Optimization and Control · Mathematics 2013-09-23 Manuel Guerra , Cláudia Nunes , Carlos Oliveira

Employers are concerned not only with a prospective worker's ability, but also their propensity to avoid shirking. This paper proposes a new experimental framework to study how Principals trade-off measures of ability and prosocial behavior…

General Economics · Economics 2025-11-03 Andrew Leal

The lack of cooperation can easily result in inequality among members of a society, which provides an increasing gap between individual incomes. To tackle this issue, we introduce an incentive mechanism based on individual strategies and…

Physics and Society · Physics 2025-01-24 Luo-Luo Jiang , Yi-Ming Li , Wen-Jing Li , Attila Szolnoki

Indirect punishment traditionally sustains cooperation in social systems through reputation or norms, often by reducing defectors' payoffs indirectly. In this study, we redefine indirect punishment for structured populations as a spatially…

Physics and Society · Physics 2025-06-04 Yujia Wen , Zhixue He , Chen Shen , Jun Tanimoto

We present a strategic analysis of a trust model that has recently been proposed for promoting cooperative behaviour in user-centric networks. The mechanism for cooperation is based on a combination of reputation and virtual currency…

Computer Science and Game Theory · Computer Science 2013-03-05 Marta Kwiatkowska , David Parker , Aistis Simaitis

Solving the Hamilton-Jacobi-Bellman equation is important in many domains including control, robotics and economics. Especially for continuous control, solving this differential equation and its extension the Hamilton-Jacobi-Isaacs…

Robotics · Computer Science 2021-10-06 Michael Lutter , Boris Belousov , Shie Mannor , Dieter Fox , Animesh Garg , Jan Peters
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