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We introduce and solve a model that mimics the herding effect in financial markets when groups of agents share information. The number of agents in the model is growing and at each time step either (i) with probability $p$ an incoming agent…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. J. Rodgers , Dafang Zheng

The tendency to overestimate immediate utility is a common cognitive bias. As a result people behave inconsistently over time and fail to reach long-term goals. Behavioral economics tries to help affected individuals by implementing…

Computer Science and Game Theory · Computer Science 2017-08-28 Susanne Albers , Dennis Kraft

Federated Learning (FL) aims to foster collaboration among a population of clients to improve the accuracy of machine learning without directly sharing local data. Although there has been rich literature on designing federated learning…

Machine Learning · Computer Science 2023-02-20 Shengyuan Hu , Dung Daniel Ngo , Shuran Zheng , Virginia Smith , Zhiwei Steven Wu

We provide a novel characterization of semiparametric efficiency in a generic supervised learning setting where the outcome mean function -- defined as the conditional expectation of the outcome of interest given the other observed…

Methodology · Statistics 2025-04-22 Harrison H. Li

A proper mechanism design can help federated learning (FL) to achieve good social welfare by coordinating self-interested clients through the learning process. However, existing mechanisms neglect the network effects of client…

Computer Science and Game Theory · Computer Science 2024-08-26 Xiang Li , Yuan Luo , Bing Luo , Jianwei Huang

We study the performance of Fictitious Play, when used as a heuristic for finding an approximate Nash equilibrium of a 2-player game. We exhibit a class of 2-player games having payoffs in the range [0,1] that show that Fictitious Play…

Computer Science and Game Theory · Computer Science 2011-03-22 Paul W. Goldberg , Rahul Savani , Troels Bjerre Sorensen , Carmine Ventre

We study the asymptotic behavior of the ratio of total return (or total profit) to total amount bet in a casino game. While the limit is well understood when the sequence of wagers is independent and identically distributed, here we…

Probability · Mathematics 2025-12-25 S. N. Ethier , L. Stefanello

To take advantage of strategy commitment, a useful tactic of playing games, a leader must learn enough information about the follower's payoff function. However, this leaves the follower a chance to provide fake information and influence…

Computer Science and Game Theory · Computer Science 2023-06-14 Yurong Chen , Xiaotie Deng , Yuhao Li

Statistical inference for discrete time observations of an affine stochastic delay differential equation is considered. The main focus is on maximum pseudo-likelihood estimators, which are easy to calculate in practice. A more general class…

Statistics Theory · Mathematics 2013-03-21 Uwe Küchler , Michael Sørensen

Much work in the parimutuel betting literature has discussed estimating event outcome probabilities or developing optimal wagering strategies, particularly for horse race betting. Some betting pools, however, involve betting not just on a…

Computer Science and Game Theory · Computer Science 2024-07-24 Ryan S. Brill , Abraham J. Wyner , Ian J. Barnett

Using theory and experiments, this paper shows that the difficulty of making tradeoffs offers a parsimonious explanation for a wide range of behavioral phenomena. We develop a model of imprecise comparisons applicable to multiattribute,…

General Economics · Economics 2026-04-01 Cassidy Shubatt , Jeffrey Yang

We examine two types of binary betting markets, whose primary goal is for profit (such as sports gambling) or to gain information (such as prediction markets). We articulate the interplay between belief and price-setting to analyse both…

Computer Science and Game Theory · Computer Science 2024-06-07 Haiqing Zhu , Alexander Soen , Yun Kuen Cheung , Lexing Xie

We find a remarkable agreement between the statistics of a randomly divided interval and the observed statistical patterns and distributions found in horse racing betting markets. We compare the distribution of implied winning odds, the…

Statistical Finance · Quantitative Finance 2016-12-09 Peter A. Bebbington , Julius Bonart

We introduce a general framework for continuous-time betting markets, in which a bookmaker can dynamically control the prices of bets on outcomes of random events. In turn, the prices set by the bookmaker affect the rate or intensity of…

Mathematical Finance · Quantitative Finance 2021-03-09 Matthew Lorig , Zhou Zhou , Bin Zou

The minority model was introduced to study the competition between agents with limited information. It has the remarkable feature that, as the amount of information available increases, the collective gain made by the agents is reduced.…

Statistical Mechanics · Physics 2007-05-23 M. A. R. de Cara , O. Pla , F. Guinea

The combination of the Bayesian game and learning has a rich history, with the idea of controlling a single agent in a system composed of multiple agents with unknown behaviors given a set of types, each specifying a possible behavior for…

Machine Learning · Computer Science 2024-11-21 Tongxin Li , Tinashe Handina , Shaolei Ren , Adam Wierman

The use of algorithmic predictions in decision-making leads to a feedback loop where the models we deploy actively influence the data distributions we see, and later use to retrain on. This dynamic was formalized by Perdomo et al. 2020 in…

Machine Learning · Computer Science 2026-03-02 Gabriele Farina , Juan Carlos Perdomo

Is an option especially tempting when it is both immediate and certain? I test the effect of risk on the present-bias factor given quasi-hyperbolic discounting. In my experiment workers allocate about thirty to fifty minutes of real-effort…

General Economics · Economics 2024-08-28 J. Lucas Reddinger

Incentive mechanism is crucial for federated learning (FL) when rational clients do not have the same interests in the global model as the server. However, due to system heterogeneity and limited budget, it is generally impractical for the…

Computer Science and Game Theory · Computer Science 2023-04-18 Bing Luo , Yutong Feng , Shiqiang Wang , Jianwei Huang , Leandros Tassiulas

Sports betting markets are proven real-world laboratories to test theories of asset pricing anomalies and risky behaviour. Using a high-frequency dataset provided directly by a major bookmaker, containing the odds and amounts staked…

General Economics · Economics 2022-11-14 Marius Ötting , Christian Deutscher , Carl Singleton , Luca De Angelis
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