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Strategic decision-making in uncertain and adversarial environments is crucial for the security of modern systems and infrastructures. A salient feature of many optimal decision-making policies is a level of unpredictability, or randomness,…

Computer Science and Game Theory · Computer Science 2024-05-03 Keith Paarporn , Rahul Chandan , Dan Kovenock , Mahnoosh Alizadeh , Jason R. Marden

Over the last few decades, the player recruitment process in professional football has evolved into a multi-billion industry and has thus become of vital importance. To gain insights into the general level of their candidate reinforcements,…

Machine Learning · Statistics 2018-09-17 Bart Aalbers , Jan Van Haaren

Twitter has been proven to be a notable source for predictive modelling on various domains such as the stock market, the dissemination of diseases or sports outcomes. However, such a study has not been conducted in football (soccer) so far.…

Machine Learning · Statistics 2014-11-06 Stylianos Kampakis , Andreas Adamides

The article considers strategies of coalitions that are based on intelligence information about moves of some of the other agents. The main technical result is a sound and complete logical system that describes the interplay between…

Computer Science and Game Theory · Computer Science 2019-10-17 Pavel Naumov , Yuan Yuan

I study the optimal pricing process for selling a unit good to a buyer with prospect theory preferences. In the presence of probability weighting, the buyer is dynamically inconsistent and can be either sophisticated or naive about her own…

Theoretical Economics · Economics 2023-08-29 Tan Gan

In fantasy sports, strategic thinking-not mere luck-often defines who wins and who falls short. As fantasy cricket grows in popularity across India, understanding whether success stems from skill or chance has become both an analytical and…

Applications · Statistics 2025-12-23 Supratim Das , Sarthak Sarkar , Subhamoy Maitra , Tridib Mukherjee

The chances to win a football match can be significantly increased if the right tactic is chosen and the behavior of the opposite team is well anticipated. For this reason, every professional football club employs a team of game analysts.…

Machine Learning · Computer Science 2019-10-02 Eric Müller-Budack , Jonas Theiner , Robert Rein , Ralph Ewerth

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

Quantum Decision Theory, advanced earlier by the authors, and illustrated for lotteries with gains, is generalized to the games containing lotteries with gains as well as losses. The mathematical structure of the approach is based on the…

Physics and Society · Physics 2018-02-20 V. I. Yukalov , D. Sornette

We develop a new method for stochastic optimization using the Bayesian statistics approach. More precisely, we optimize parameters of chess engines as those data are available to us, but the method should apply to all situations where we…

Optimization and Control · Mathematics 2022-07-06 Ivan Ivec , Ivana Vojnović

We illustrate how one can use basic combinatorial theory and computer programming technique (Python) to analyze the combinatorial game: Mahjong. The results confirm some folklore concerning the game, and expose some unexpected results.…

History and Overview · Mathematics 2019-01-24 Yuan Cheng , Chi-Kwong Li , Sharon H. Li

Probability forecasts of events are routinely used in climate predictions, in forecasting default probabilities on bank loans or in estimating the probability of a patient's positive response to treatment. Scoring rules have long been used…

Statistics Theory · Mathematics 2012-02-24 Tze Leung Lai , Shulamith T. Gross , David Bo Shen

This article presents a holistic compound Poisson regression model framework to forecast number of corner kicks taken in association football. Corner kick taken events are often decisive in the match outcome and inherently arrive in batch…

Applications · Statistics 2023-11-08 Stan Yip , Yinghong Zou , Ronald Tsz Hin Hung , Ka Fai Cedric Yiu

With the development of measurement technology, data on the movements of actual games in various sports can be obtained and used for planning and evaluating the tactics and strategy. Defense in team sports is generally difficult to be…

Artificial Intelligence · Computer Science 2022-05-10 Kosuke Toda , Masakiyo Teranishi , Keisuke Kushiro , Keisuke Fujii

There has been considerable work on reasoning about the strategic ability of agents under imperfect information. However, existing logics such as Probabilistic Strategy Logic are unable to express properties relating to information…

Artificial Intelligence · Computer Science 2025-01-07 Chunyan Mu , Nima Motamed , Natasha Alechina , Brian Logan

In the UK betting market, bookmakers often offer a free coupon to new customers. These free coupons allow the customer to place extra bets, at lower risk, in combination with the usual betting odds. We are interested in whether a customer…

Mathematical Finance · Quantitative Finance 2019-07-01 Nawapon Nakharutai , Camila C. S. Caiado , Matthias C. M. Troffaes

In this paper we analyse tiebreak results from some tennis players in order to investigate whether we are able to identify some strategy in this crucial moment of the game. We compared the observed results with a binomial distribution…

Popular Physics · Physics 2016-06-20 I. Y. Kawashima , O. Helene , M. T. Yamashita , R. S. Marques de Carvalho

When $n$ teams play in a football league with home and away matches against every opponent there are $M = n \cdot (n-1)$ matches. There are 3 possible match results: a victory is awarded 3 points, a draw 1 point and 0 points for a defeat.…

General Mathematics · Mathematics 2025-03-20 Rüdiger Jehn , Kester Habermann , Misha Lavrov

Game-theoretic interactions with AI agents could differ from traditional human-human interactions in various ways. One such difference is that it may be possible to simulate an AI agent (for example because its source code is known), which…

Computer Science and Game Theory · Computer Science 2024-03-21 Vojtech Kovarik , Caspar Oesterheld , Vincent Conitzer

The laws of chance are often subtle and deceptive. This is why games of chance work. People are convinced that they obey seemingly intuitive laws, while the underlying mathematical structure reveals a different and more complex reality.…

History and Overview · Mathematics 2023-09-06 Paolo Bartesaghi
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