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This work lies in the fusion of experimental economics and data mining. It continues author's previous work on mining behaviour rules of human subjects from experimental data, where game-theoretic predictions partially fail to work.…

Computer Science and Game Theory · Computer Science 2012-11-13 Rustam Tagiew

This research paper aims to investigate the efficacy of decision trees in constructing intraday trading strategies using existing technical indicators for individual equities in the NIFTY50 index. Unlike conventional methods that rely on a…

Statistical Finance · Quantitative Finance 2024-05-24 Prajwal Naga , Dinesh Balivada , Sharath Chandra Nirmala , Poornoday Tiruveedi

We develop value iteration-based algorithms to solve in a unified manner different classes of combinatorial zero-sum games with mean-payoff type rewards. These algorithms rely on an oracle, evaluating the dynamic programming operator up to…

Computer Science and Game Theory · Computer Science 2024-11-12 Xavier Allamigeon , Stéphane Gaubert , Ricardo D. Katz , Mateusz Skomra

We consider a class of infinite-state stochastic games generated by stateless pushdown automata (or, equivalently, 1-exit recursive state machines), where the winning objective is specified by a regular set of target configurations and a…

Computer Science and Game Theory · Computer Science 2011-05-11 Tomáš Brázdil , Václav Brožek , Antonín Kučera , Jan Obdržálek

Tree ensemble models like random forests and gradient boosting machines are widely used in machine learning due to their excellent predictive performance. However, a high-performance ensemble consisting of a large number of decision trees…

Machine Learning · Statistics 2024-10-28 Zebin Yang , Agus Sudjianto , Xiaoming Li , Aijun Zhang

Decision trees and their ensembles are popular in machine learning as easy-to-understand models. Several techniques have been proposed in the literature for learning tree-based classifiers, with different techniques working well for data…

Machine Learning · Computer Science 2025-05-20 Maria-Florina Balcan , Dravyansh Sharma

We consider a two-player search game on a tree $T$. One vertex (unknown to the players) is randomly selected as the target. The players alternately guess vertices. If a guess $v$ is not the target, then both players are informed in which…

Probability · Mathematics 2022-02-07 Ravi B. Boppana , Joel Brewster Lewis

We provide new insights on the determinization and minimization of tree automata using congruences on trees. From this perspective, we study a Brzozowski's style minimization algorithm for tree automata. First, we prove correct this method…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Pierre Ganty , Elena Gutiérrez , Pedro Valero

We study the computational complexity of an important property of simple, regular and weighted games, which is decisiveness. We show that this concept can naturally be represented in the context of hypergraph theory, and that decisiveness…

Computer Science and Game Theory · Computer Science 2013-07-10 Andreas Polyméris , Fabián Riquelme

In many games, moves consist of several decisions made by the player. These decisions can be viewed as separate moves, which is already a common practice in multi-action games for efficiency reasons. Such division of a player move into a…

Artificial Intelligence · Computer Science 2021-12-16 Jakub Kowalski , Maksymilian Mika , Wojciech Pawlik , Jakub Sutowicz , Marek Szykuła , Mark H. M. Winands

We consider games with two antagonistic players --- \'Elo\"ise (modelling a program) and Ab\'elard (modelling a byzantine environment) --- and a third, unpredictable and uncontrollable player, that we call Nature. Motivated by the fact that…

Formal Languages and Automata Theory · Computer Science 2020-10-14 Arnaud Carayol , Olivier Serre

The mu-calculus is a powerful tool for specifying and verifying transition systems, including those with both demonic and angelic choice; its quantitative generalisation qMu extends that to probabilistic choice. We show that for a…

Logic in Computer Science · Computer Science 2007-05-23 Annabelle McIver , Carroll Morgan

The automatic generation of decision trees based on off-line reasoning on models of a domain is a reasonable compromise between the advantages of using a model-based approach in technical domains and the constraints imposed by embedded…

Artificial Intelligence · Computer Science 2011-06-28 L. Console , C. Picardi , D. Theseider Duprè

Many real-world problems require making sequences of decisions where the outcomes of each decision are probabilistic and uncertain, and the availability of different actions is constrained by the outcomes of previous actions. There is a…

Optimization and Control · Mathematics 2025-04-28 Berk Ozturk , She'ifa Punla-Green , Les Servi

Evolutionary game dynamics describes the spreading of successful strategies in a population of reproducing individuals. Typically, the microscopic definition of strategy spreading is stochastic, such that the dynamics becomes deterministic…

Populations and Evolution · Quantitative Biology 2015-05-13 Philipp M. Altrock , Arne Traulsen

There is a growing desire in the field of reinforcement learning (and machine learning in general) to move from black-box models toward more "interpretable AI." We improve interpretability of reinforcement learning by increasing the utility…

Machine Learning · Computer Science 2019-07-03 Aaron M. Roth , Nicholay Topin , Pooyan Jamshidi , Manuela Veloso

The accurate and personalized estimation of task difficulty provides many opportunities for optimizing user experience. However, user diversity makes such difficulty estimation hard, in that empirical measurements from some user sample do…

Human-Computer Interaction · Computer Science 2022-09-28 Jeppe Theiss Kristensen , Christian Guckelsberger , Paolo Burelli , Perttu Hämäläinen

We introduce a game on graphs. By a theorem of Zermelo, each instance of the game on a finite graph is determined. While the general decision problem on which player has a winning strategy in a given instance of the game is unsolved, we…

Combinatorics · Mathematics 2014-11-21 C. L. Jansen , M. Scheepers , S. L. Simon , E. Tatum

Game theory is the standard tool used to model strategic interactions in evolutionary biology and social science. Traditional game theory studies the equilibria of simple games. But is traditional game theory applicable if the game is…

Chaotic Dynamics · Physics 2011-09-22 Tobias Galla , J. Doyne Farmer

The paper is concerned with the deterministic limit of mean field games with the nonlocal coupling. It is assumed that the dynamics of mean field games are given by nonlinear Markov processes. This type of games includes stochastic mean…

Optimization and Control · Mathematics 2018-01-08 Yurii Averboukh