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In this paper, we study a game with positive or plus infinite expectation and determine the optimal proportion of investment for maximizing the limit expectation of growth rate per attempt. With this objective, we introduce a new pricing…

Optimization and Control · Mathematics 2013-06-28 Yukio Hirashita

We consider games played on finite graphs, whose goal is to obtain a trace belonging to a given set of winning traces. We focus on those states from which Player 1 cannot force a win. We explore and compare several criteria for establishing…

Computer Science and Game Theory · Computer Science 2008-11-12 Marco Faella

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

In multi-agent settings, game theory is a natural framework for describing the strategic interactions of agents whose objectives depend upon one another's behavior. Trajectory games capture these complex effects by design. In competitive…

Computer Science and Game Theory · Computer Science 2022-05-04 Lasse Peters , David Fridovich-Keil , Laura Ferranti , Cyrill Stachniss , Javier Alonso-Mora , Forrest Laine

Prior work has studied the computational complexity of computing optimal strategies to commit to in Stackelberg or leadership games, where a leader commits to a strategy which is observed by one or more followers. We extend this setting to…

Computer Science and Game Theory · Computer Science 2024-10-22 Nathaniel Sauerberg , Caspar Oesterheld

Cricket is unarguably one of the most popular sports in the world. Predicting the outcome of a cricket match has become a fundamental problem as we are advancing in the field of machine learning. Multiple researchers have tried to predict…

Artificial Intelligence · Computer Science 2021-08-24 Harsh Mittal , Deepak Rikhari , Jitendra Kumar , Ashutosh Kumar Singh

Optimization of expensive computer models with the help of Gaussian process emulators in now commonplace. However, when several (competing) objectives are considered, choosing an appropriate sampling strategy remains an open question. We…

Optimization and Control · Mathematics 2013-10-03 Victor Picheny

In this article, we study the dynamics of marking in football matches. To do this, we surveyed and analyzed a database containing the trajectories of players from both teams on the field of play during three professional games. We describe…

Data Analysis, Statistics and Probability · Physics 2022-11-09 A. Chacoma , M. N. Kuperman , O. V. Billoni

Analyzing football score data with statistical techniques, we investigate how the not purely random, but highly co-operative nature of the game is reflected in averaged properties such as the probability distributions of scored goals for…

Physics and Society · Physics 2009-04-02 Elmar Bittner , Andreas Nussbaumer , Wolfhard Janke , Martin Weigel

Ranking is used in sport leagues to determine a champion and/or to decide on promotion/relegation of teams. Arguably, the best known ranking method relies on scores obtained by cumulating the points associated with the wins and the draws of…

Physics and Society · Physics 2023-03-28 Leszek Szczecinski

This paper studies a multi-player, general-sum stochastic game characterized by a dual-stage temporal structure per period. The agents face uncertainty regarding the time-evolving state that is realized at the beginning of each period.…

Computer Science and Game Theory · Computer Science 2023-10-09 Tao Zhang , Quanyan Zhu

Daily fantasy sports (DFS) are weekly or daily online contests where real-game performances of individual players are converted to fantasy points (FPTS). Users select players for their lineup to maximize their FPTS within a set player…

Machine Learning · Computer Science 2023-09-29 Joseph M. Mahoney , Tomasz B. Paniak

In stochastic dynamic environments, team Markov games have emerged as a versatile paradigm for studying sequential decision-making problems of fully cooperative multi-agent systems. However, the optimality of the derived policies is usually…

Optimization and Control · Mathematics 2022-05-03 Feng Huang , Ming Cao , Long Wang

Balls-and-bins games have been a wildly successful tool for modeling load balancing problems. In this paper, we study a new scenario, which we call the ball recycling game, defined as follows: Throw m balls into n bins i.i.d. according to a…

Data Structures and Algorithms · Computer Science 2018-11-05 Michael A. Bender , Jake Christensen , Alex Conway , Martín Farach-Colton , Rob Johnson , Meng-Tsung Tsai

Forecast of football outcomes in terms of Home Win, Draw and Away Win relies largely on ex ante probability elicitation of these events and ex post verification of them via computation of probability scoring rules (Brier, Ranked…

Applications · Statistics 2024-08-09 Jean-Louis Foulley

The application of Data Science and Analytics to optimize or predict outcomes is Ubiquitous in the Modern World. Data Science and Analytics have optimized almost every domain that exists in the market. In our survey, we focus on how the…

Machine Learning · Computer Science 2022-09-19 Sachin Kumar S , Prithvi HV , C Nandini

The analysis of games and sports as complex systems can give insights into the dynamics of human competition, and has been proven useful in soccer, basketball, and other professional sports. In this paper we present a model for dodgeball, a…

Physics and Society · Physics 2021-01-04 Perrin E. Ruth , Juan G. Restrepo

In the last years, scientific and industrial research has experienced a growing interest in acquiring large annotated data sets to train artificial intelligence algorithms for tackling problems in different domains. In this context, we have…

Human-Computer Interaction · Computer Science 2021-03-09 Silvio Barra , Salvatore M. Carta , Alessandro Giuliani , Alessia Pisu , Alessandro Sebastian Podda , DanieleRiboni

Continuous-time assessments of game outcomes in sports have become increasingly common in the last decade. In American football, only discrete-time estimates of play value were possible, since the most advanced public football datasets were…

Transfers in professional football (soccer) are risky investments because of the large transfer fees and high risks involved. Although data-driven models can be used to improve transfer decisions, existing models focus on describing…

Applications · Statistics 2025-09-29 Koen W. van Arem , Floris Goes-Smit , Jakob Söhl