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This paper considers finitely many investors who perform mean-variance portfolio selection under relative performance criteria. That is, each investor is concerned about not only her terminal wealth, but how it compares to the average…

Mathematical Finance · Quantitative Finance 2026-05-14 Yu-Jui Huang , Li-Hsien Sun

Large language models (LLMs) are increasingly being deployed as autonomous agents on behalf of institutions and individuals in economic, political, and social settings that involve negotiation. Yet this trend carries significant risks if…

Computer Science and Game Theory · Computer Science 2025-12-19 Manuel S. Ríos , Ruben F. Manrique , Nicanor Quijano , Luis F. Giraldo

Algorithmic trading relies on machine learning models to make trading decisions. Despite strong in-sample performance, these models often degrade when confronted with evolving real-world market regimes, which can shift dramatically due to…

Machine Learning · Computer Science 2026-01-27 Haochong Xia , Simin Li , Ruixiao Xu , Zhixia Zhang , Hongxiang Wang , Zhiqian Liu , Teng Yao Long , Molei Qin , Chuqiao Zong , Bo An

Many decentralized and networked control problems involve decision makers which have either misaligned criteria or subjective priors. In the context of such a setup, in this paper we consider binary signaling problems in which the decision…

Optimization and Control · Mathematics 2019-09-06 Serkan Sarıtaş , Sinan Gezici , Serdar Yüksel

A growing line of work reframes preference-based fine-tuning of large language models game-theoretically: Nash Learning from Human Feedback (NLHF) recasts the problem as a zero-sum game over policies. However, optimization is over expected…

Computer Science and Game Theory · Computer Science 2026-05-14 Max Horwitz , Jake Gonzales , Eric Mazumdar , Lillian J. Ratliff

Computer modeling of human decision making is of large importance for, e.g., sustainable transport, urban development, and online recommendation systems. In this paper we present a model for predicting the behavior of an individual during a…

Artificial Intelligence · Computer Science 2021-01-18 Chenda Zhang , Hedvig Kjellström

Many communication, sensor network, and networked control problems involve agents (decision makers) which have either misaligned objective functions or subjective probabilistic models. In the context of such setups, we consider binary…

Optimization and Control · Mathematics 2019-09-09 Serkan Sarıtaş , Sinan Gezici , Serdar Yüksel

We study whether zero-sum decision rules, maximin and minimax, harm agents' interests in positive-sum strategic environments relative to Nash equilibrium behavior or, more generally, than best response behaviour. Contrary to an influential…

Theoretical Economics · Economics 2026-04-22 Shaun Hargreaves Heap , Mehmet Mars Seven

The symbiotic relationship between the frameworks of classical game theory and evolutionary game theory is well-established. However, evolutionary game theorists have mostly tapped into the classical game of complete information where…

Populations and Evolution · Quantitative Biology 2025-04-04 Arunava Patra , Joy Das Bairagya , Sagar Chakraborty

Financial markets exhibit highly dynamic and complex behaviors shaped by both historical price trajectories and exogenous narratives, such as news, policy interpretations, and social media sentiment. The heterogeneity in these data and the…

Machine Learning · Computer Science 2025-07-22 Xiaotong Luo , Shengda Zhuo , Min Chen , Lichun Li , Ruizhao Lu , Wenqi Fan , Shuqiang Huang , Yin Tang

There are many examples of human decision making which cannot be modeled by classical probabilistic and logic models, on which the current AI systems are based. Hence the need for a modeling framework which can enable intelligent systems to…

Artificial Intelligence · Computer Science 2018-08-15 Sagar Uprety , Dawei Song

We introduce a new paradigm for game theory -- Bayesian satisfaction. This novel approach is a synthesis of the idea of Bayesian rationality introduced by Aumann, and satisfaction games. The concept of Bayesian rationality for which, in…

Computer Science and Game Theory · Computer Science 2023-07-26 Langford White , Oskar Rynkiewicz , Duong Nguyen , Hung Nguyen

Inspired by successful biological collective decision mechanisms such as honey bees searching for a new colony or the collective navigation of fish schools, we consider a mean field games (MFG)-like scenario where a large number of agents…

Systems and Control · Computer Science 2016-01-26 Rabih Salhab , Roland P. Malhamé , Jerome Le Ny

The Bayesian statistical paradigm provides a principled and coherent approach to probabilistic forecasting. Uncertainty about all unknowns that characterize any forecasting problem -- model, parameters, latent states -- is able to be…

This article presents a unified probabilistic framework that allows both rational and irrational decision making to be theoretically investigated and simulated in classical and quantum games. Rational choice theory is a basic component of…

Quantum Physics · Physics 2021-04-28 Shahram Dehdashti , Lauren Fell , Abdul Karim Obeid , Catarina Moreira , Peter Bruza

Bias is known to be an impediment to fair decisions in many domains such as human resources, the public sector, health care etc. Recently, hope has been expressed that the use of machine learning methods for taking such decisions would…

Machine Learning · Computer Science 2019-09-05 Jindong Gu , Daniela Oelke

Cognitive biases, well-studied in humans, can also be observed in LLMs, affecting their reliability in real-world applications. This paper investigates the anchoring effect in LLM-driven price negotiations. To this end, we instructed seller…

Computation and Language · Computer Science 2025-09-18 Yoshiki Takenami , Yin Jou Huang , Yugo Murawaki , Chenhui Chu

We design a double-or-quits game to compare the speed of learning one's specific ability with the speed of rising confidence as the task gets increasingly difficult. We find that people on average learn to be overconfident faster than they…

Other Statistics · Statistics 2017-07-11 Louis Lévy-Garboua , Muniza Askari , Marco Gazel

When a prediction algorithm serves a collection of users, disparities in prediction quality are likely to emerge. If users respond to accurate predictions by increasing engagement, inviting friends, or adopting trends, repeated learning…

Machine Learning · Computer Science 2025-11-27 Eden Saig , Nir Rosenfeld

The dominant theories of rational choice assume logical omniscience. That is, they assume that when facing a decision problem, an agent can perform all relevant computations and determine the truth value of all relevant logical/mathematical…

Artificial Intelligence · Computer Science 2023-07-12 Caspar Oesterheld , Abram Demski , Vincent Conitzer
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