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We consider a multi-agent optimal resource sharing problem that is represented by a linear program. The amount of resource to be shared is fixed, and agents belong to a population that is characterized probabilistically so as to allow…

Optimization and Control · Mathematics 2021-09-29 Alessandro Falsone , Kostas Margellos , Jacopo Zizzo , Maria Prandini , Simone Garatti

An appropriate level of arousal induces positive emotions, and a high arousal potential may provoke negative emotions. To explain the effect of arousal on emotional valence, we propose a novel mathematical framework of arousal potential…

Neurons and Cognition · Quantitative Biology 2022-11-22 Hideyoshi Yanagisawa , Xiaoxiang Wu , Kazutaka Ueda , Takeo Kato

While deep reinforcement learning has achieved tremendous successes in various applications, most existing works only focus on maximizing the expected value of total return and thus ignore its inherent stochasticity. Such stochasticity is…

Machine Learning · Computer Science 2023-09-19 Han Zhong , Xun Deng , Ethan X. Fang , Zhuoran Yang , Zhaoran Wang , Runze Li

The original Deffuant model consists of a finite number of agents whose opinion is a number in $[0,1]$. Two socially connected agents are uniformly randomly selected at each time step and approach each other at a rate $\mu\in [0,1/2]$ if…

Probability · Mathematics 2021-12-07 Hsin-Lun Li

Multi-agent systems are trained to maximize shared cost objectives, which typically reflect system-level efficiency. However, in the resource-constrained environments of mobility and transportation systems, efficiency may be achieved at the…

Multiagent Systems · Computer Science 2024-10-30 Jasmine Jerry Aloor , Siddharth Nayak , Sydney Dolan , Hamsa Balakrishnan

We study population dynamics under which each revising agent tests each strategy k times, with each trial being against a newly drawn opponent, and chooses the strategy whose mean payoff was highest. When k = 1, defection is globally stable…

Theoretical Economics · Economics 2021-01-05 Srinivas Arigapudi , Yuval Heller , Igal Milchtaich

The question how social norms can emerge from microscopic interactions between individuals is a key problem in social sciences to explain collective behavior. In this paper we propose an agent-based model to show that randomly distributed…

Adaptation and Self-Organizing Systems · Physics 2008-09-07 Thomas Fent , Patrick Groeber , Frank Schweitzer

The phenomenon of population interference, where a treatment assigned to one experimental unit affects another experimental unit's outcome, has received considerable attention in standard randomized experiments. The complications produced…

Methodology · Statistics 2023-06-08 Kevin Han , Iavor Bojinov , Guillaume Basse

Recurrence and ergodic properties are established for a single--server queueing system with variable intensities of arrivals and service. Convergence to stationarity is also interpreted in terms of reliability theory.

Probability · Mathematics 2016-11-01 Alexander Veretennikov

Existing approaches for the design of interpretable agent behavior consider different measures of interpretability in isolation. In this paper we posit that, in the design and deployment of human-aware agents in the real world, notions of…

Artificial Intelligence · Computer Science 2020-11-24 Sarath Sreedharan , Anagha Kulkarni , Tathagata Chakraborti , David E. Smith , Subbarao Kambhampati

Risk management resulting from the actions and states of the different elements making up a operating room is a major concern during a surgical procedure. Agent-based simulation shows an interest through its interaction concepts,…

Artificial Intelligence · Computer Science 2020-07-23 Bruno Perez , Julien Henriet , Christophe Lang , Laurent Philippe

The pursuit of general intelligence has traditionally centered on external objectives: an agent's control over its environments or mastery of specific tasks. This external focus, however, can produce specialized agents that lack…

Machine Learning · Computer Science 2025-07-31 Hanqi Zhou , Fryderyk Mantiuk , David G. Nagy , Charley M. Wu

In this paper the standard prisoners' dilemma is embedded in environmental conditions in which the interaction takes place. This provides a theoretical background to the analysis of the empirical studies which indicate that including…

Optimization and Control · Mathematics 2007-05-23 L. A. Khodarinova , J. M. Binner , L. R. Fletcher , V. N. Kolokoltsov , P. Whysall

Motivated by an optimal visiting problem, we study a switching mean-field game on a network, where both a decisional and a switching time-variable is at disposal of the agents for what concerns, respectively, the instant to decide and the…

Optimization and Control · Mathematics 2023-03-23 Fabio Bagagiolo , Luciano Marzufero

This paper is concerned with a formation shaping problem for point agents in a two-dimensional space, where control avoids the possibility of reflection ambiguities. One solution for this type of problems was given first for three or four…

Systems and Control · Electrical Eng. & Systems 2020-09-08 Toshiharu Sugie , Fei Tong , Brian D. O. Anderson , Zhiyong Sun

When extending inferences from a randomized trial to a new target population, the transportability condition for conditional difference effect measures is invoked to identify the marginal causal mean difference in the target population.…

Methodology · Statistics 2024-07-18 Guanbo Wang , Alexander Levis , Jon Steingrimsson , Issa Dahabreh

We study network revenue management problems motivated by applications such as railway ticket sales and hotel room bookings. Requests, each requiring a resource for a consecutive stay, arrive sequentially with known arrival probabilities.…

Theoretical Economics · Economics 2026-01-07 Ming Hu , Tongwen Wu

Collective phenomena with universal properties have been observed in many complex systems with a large number of components. Here we present a microscopic model of the emergence of scaling behavior in such systems, where the interaction…

Statistical Finance · Quantitative Finance 2015-05-19 S. V. Vikram , Sitabhra Sinha

This paper approaches the problem of understanding collective agency from a logical and game-theoretical perspective. Instead of collective intentionality, our analysis highlights the role of Pareto optimality. To facilitate the analysis,…

Theoretical Economics · Economics 2021-04-20 Chenwei Shi , Yiyang Wang

This position paper argues that, for long-horizon tasks evaluated across models with comparable frontier capability, the agent execution harness, namely the infrastructure layer that governs context construction, tool interaction,…

Artificial Intelligence · Computer Science 2026-05-26 Yunbei Zhang , Janet Wang , Yingqiang Ge , Weijie Xu , Jihun Hamm , Chandan K. Reddy