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We propose a model for stochastic formation of opinion clusters, modelled by an evolving network, and herd behaviour to account for the observed fat-tail distribution in returns of financial-price data. The only parameter of the model is h,…

Condensed Matter · Physics 2009-10-31 Victor M. Eguiluz , Martin G. Zimmermann

Predicting click and conversion probabilities when bidding on ad exchanges is at the core of the programmatic advertising industry. Two separated lines of previous works respectively address i) the prediction of user conversion probability…

Machine Learning · Statistics 2017-07-24 Eustache Diemert , Julien Meynet , Pierre Galland , Damien Lefortier

We study a memory-based Boolean game (MBBG) taking place on the regular ring, wherein each agent acts according to its local optimal states of the last M time steps recorded in memory, and the agents in the minority are rewarded. One free…

Physics and Society · Physics 2007-05-23 Zi-Gang Huang , Zhi-Xi Wu , Jian-Yue Guan , Ying-Hai Wang

In this short paper, we study the simulation of a large system of stochastic processes subject to a common driving noise and fast mean-reverting stochastic volatilities. This model may be used to describe the firm values of a large pool of…

Numerical Analysis · Mathematics 2021-10-13 Andrei Cozma , Christoph Reisinger

We investigate the most popular approaches to the problem of sports betting investment based on modern portfolio theory and the Kelly criterion. We define the problem setting, the formal investment strategies, and review their common…

Portfolio Management · Quantitative Finance 2021-07-20 Matej Uhrín , Gustav Šourek , Ondřej Hubáček , Filip Železný

A striking limitation of human cognition is our inability to execute some tasks simultaneously. Recent work suggests that such limitations can arise from a fundamental tradeoff in network architectures that is driven by the sharing of…

Neurons and Cognition · Quantitative Biology 2020-07-08 Yotam Sagiv , Sebastian Musslick , Yael Niv , Jonathan D. Cohen

This paper deals with the problem of inference associated with linear fractional diffusion process with random effects in the drift. In particular we are concerned with the maximum likelihood estimators (MLE) of the random effect…

Statistics Theory · Mathematics 2019-12-04 El Omari Mohamed , Hamid El Maroufy , Christiane Fuchs

An accumulator is a bet that presents a rather unique payout structure, in that it combines multiple bets into a wager that can generate a total payout given by the multiplication of the individual odds of its parts. These potentially…

Artificial Intelligence · Computer Science 2020-04-21 Nassim Dehouche

This paper develops a flexible and computationally efficient multivariate volatility model, which allows for dynamic conditional correlations and volatility spillover effects among financial assets. The new model has desirable properties…

Methodology · Statistics 2025-07-25 Wenyu Li , Yuchang Lin , Qianqian Zhu , Guodong Li

We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

Economics · Quantitative Finance 2017-04-04 Jian Yang

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 propose a distributed algorithm for multiagent systems that aim to optimize a common objective when agents differ in their estimates of the objective-relevant state of the environment. Each agent keeps an estimate of the environment and…

Systems and Control · Electrical Eng. & Systems 2019-12-10 Sina Arefizadeh , Ceyhun Eksin

We focus on a permutation betting market under parimutuel call auction model where traders bet on the final ranking of n candidates. We present a Proportional Betting mechanism for this market. Our mechanism allows the traders to bet on any…

Computer Science and Game Theory · Computer Science 2008-12-18 Shipra Agrawal , Zizhuo Wang , Yinyu Ye

How do large-scale participants in parimutuel wagering events affect the house and ordinary bettors? A standard narrative suggests that they may temporarily benefit the former at the expense of the latter. To approach this problem, we begin…

Optimization and Control · Mathematics 2017-03-30 Erhan Bayraktar , Alexander Munk

We propose a payoff function extending Minority Games (MG) that captures the competition between agents to make money. In constrast with previous MG, the best strategies are not always targeting the minority but are shifting…

Condensed Matter · Physics 2009-11-07 Jorgen Vitting Andersen , Didier Sornette

We study a variant of the classical stochastic $K$-armed bandit where observing the outcome of each arm is expensive, but cheap approximations to this outcome are available. For example, in online advertising the performance of an ad can be…

Machine Learning · Computer Science 2016-11-01 Kirthevasan Kandasamy , Gautam Dasarathy , Jeff Schneider , Barnabás Póczos

This note studies the behavior of an index I_t which is assumed to be a tradable security, to satisfy the BSM model dI_t/I_t = \mu dt + \sigma dW_t, and to be efficient in the following sense: we do not expect a prespecified trading…

General Finance · Quantitative Finance 2011-09-13 Vladimir Vovk

In this paper two portfolio choice models are studied: a purely possibilistic model, in which the return of a risky asset is a fuzzy number, and a mixed model in which a probabilistic background risk is added. For the two models an…

Portfolio Management · Quantitative Finance 2018-05-31 Irina Georgescu

The expected utility hypothesis is a popular concept in economics that is useful for making decisions when the payoff is uncertain. In this paper, we investigate the implications of a fluctuation theorem in the theory of expected utility.…

Statistical Mechanics · Physics 2024-01-17 Gianluca Francica , Luca Dell'Anna

We propose a general framework for statistical inference on the overall strengths of players in pairwise comparisons, allowing for potential shifts in the covariate distribution. These covariates capture important contextual information…

Methodology · Statistics 2025-04-10 Xiudi Li , Sijia Li