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We examine hypothesis testing within a principal-agent framework, where a strategic agent, holding private beliefs about the effectiveness of a product, submits data to a principal who decides on approval. The principal employs a hypothesis…

Machine Learning · Computer Science 2025-08-06 Safwan Hossain , Yatong Chen , Yiling Chen

Decision-making individuals often imitate their highest-earning fellows rather than optimize their own utilities, due to bounded rationality and incomplete information. Perpetual fluctuations between decisions have been reported as the…

Systems and Control · Electrical Eng. & Systems 2023-02-16 Yiheng Fu , Pouria Ramazi

Machine learning relies on the assumption that unseen test instances of a classification problem follow the same distribution as observed training data. However, this principle can break down when machine learning is used to make important…

Machine Learning · Computer Science 2015-11-24 Moritz Hardt , Nimrod Megiddo , Christos Papadimitriou , Mary Wootters

We investigate different versions of the minority game, a toy model for agents buying and selling a commodity. The Hamming distance between the strategies used by agents to take decisions is introduced as an analytical tool to determine…

adap-org · Physics 2009-10-31 R. D'hulst , G. J. Rodgers

We construct a diffusion approximation of a repeated game in which agents make bets on outcomes of i.i.d. random vectors and their strategies are close to an asymptotically optimal strategy. This model can be interpreted as trading in an…

Mathematical Finance · Quantitative Finance 2021-08-30 Mikhail Zhitlukhin

We employ a 2x3 factorial experiment to study two central factors in the design of prediction markets (PMs) for idea evaluation: the overall design of the PM, and the elasticity of market prices set by a market maker. The results show that…

Social and Information Networks · Computer Science 2012-04-17 Ivo Blohm , Christoph Riedl , Johann Füller , Orhan Köroglu , Jan Marco Leimeister , Helmut Krcmar

We propose an analytically tractable variation of the minority game in which rational agents use probabilistic strategies. In our model, $N$ agents choose between two alternatives repeatedly, and those who are in the minority get a pay-off…

Trading and Market Microstructure · Quantitative Finance 2014-02-11 V. Sasidevan , Deepak Dhar

Large language models (LLMs) are increasingly deployed in agentic frameworks, in which prompts trigger complex tool-based analysis in pursuit of a goal. While these frameworks have shown promise across multiple domains including in finance,…

Statistical Finance · Quantitative Finance 2025-07-14 Dimitrios Emmanoulopoulos , Ollie Olby , Justin Lyon , Namid R. Stillman

TheMinority Game (MG) has become a paradigm to probe complex social and economical phenomena where adaptive agents compete for a limited resource, and it finds applications in statistical and nonlinear physics as well. In the traditional MG…

Adaptation and Self-Organizing Systems · Physics 2012-04-16 Zi-Gang Huang , Ji-Qiang Zhang , Jia-Qi Dong , Liang Huang , Ying-Cheng Lai

We show that a simple evolutionary scheme, when applied to the minority game (MG), changes the phase structure of the game. In this scheme each agent evolves individually whenever his wealth reaches the specified bankruptcy level, in…

Statistical Mechanics · Physics 2009-11-10 Baosheng Yuan , Kan Chen

As predictive models are deployed into the real world, they must increasingly contend with strategic behavior. A growing body of work on strategic classification treats this problem as a Stackelberg game: the decision-maker "leads" in the…

Machine Learning · Computer Science 2022-02-01 Tijana Zrnic , Eric Mazumdar , S. Shankar Sastry , Michael I. Jordan

We study a variation of the minority game. There are N agents. Each has to choose between one of two alternatives everyday, and there is reward to each member of the smaller group. The agents cannot communicate with each other, but try to…

Trading and Market Microstructure · Quantitative Finance 2015-05-27 Deepak Dhar , V. Sasidevan , Bikas K. Chakrabarti

We discuss a model of heterogeneous, inductive rational agents inspired by the El Farol Bar problem and the Minority Game. As in markets, agents interact through a collective aggregate variable -- which plays a role similar to price --…

Statistical Mechanics · Physics 2009-10-31 Matteo Marsili , Damien Challet , Riccardo Zecchina

In many multi-agent systems, agents interact repeatedly and are expected to settle into stable, rational behavior over time. Yet in practice, behavior often drifts, and detecting such deviations in real time remains an open challenge. We…

Computer Science and Game Theory · Computer Science 2026-05-25 Etienne Gauthier , Francis Bach , Michael I. Jordan

Hypothesis Testing Minority Game (HMG) is a variant of the standard Minority Game (MG) that models the inertial behavior of agents in the market. In the earlier study of our group, we find that agents cooperate better in HMG than in the…

Physics and Society · Physics 2009-11-13 H. F. Chau , V. H. Chan , F. K. Chow

We study a version of the minority game in which one agent is allowed to join the game in a random fashion. It is shown that in the crowded regime, i.e., for small values of the memory size $m$ of the agents in the population, the agent…

Statistical Mechanics · Physics 2009-11-10 K. F. Yip , T. S. Lo , P. M. Hui , N. F. Johnson

We consider a game-theoretic model of a market where investors compete for payoffs yielded by several assets. The main result consists in a proof of the existence and uniqueness of a strategy, called relative growth optimal, such that the…

Mathematical Finance · Quantitative Finance 2020-07-24 Yaroslav Drokin , Mikhail Zhitlukhin

We consider continuous-time mean-field stochastic games with strategic complementarities. The interaction between the representative productive firm and the population of rivals comes through the price at which the produced good is sold and…

Optimization and Control · Mathematics 2024-02-13 Jodi Dianetti , Salvatore Federico , Giorgio Ferrari , Giuseppe Floccari

We propose a class of Markovian agent based models for the time evolution of a share price in an interactive market. The models rely on a microscopic description of a market of buyers and sellers who change their opinion about the stock…

Other Condensed Matter · Physics 2016-08-31 Anton Bovier , Jiri Cerny , Ostap Hryniv

We present an experimental and simulated model of a multi-agent stock market driven by a double auction order matching mechanism. Studying the effect of cumulative information on the performance of traders, we find a non monotonic…

Physics and Society · Physics 2009-11-13 Bence Toth , Enrico Scalas , Juergen Huber , Michael Kirchler