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This thesis will be discussing scoring play combinatorial games and looking at the general structure of these games under different operators. I will also be looking at the Sprague-Grundy values for scoring play impartial games, and…

组合数学 · 数学 2012-02-22 Fraser Stewart

Game extension is an entertaining activity that offers an opportunity to test new design approaches by non-programmers. The real challenge is to enable this activity by means of a suitable infrastructure. We propose a knowledge-driven…

软件工程 · 计算机科学 2014-04-21 Iaakov Exman , Avinoam Alfia

In dynamic games with shared constraints, Generalized Nash Equilibria (GNE) are often computed using the normalized solution concept, which assumes identical Lagrange multipliers for shared constraints across all players. While widely used,…

机器人学 · 计算机科学 2025-11-07 Mark Pustilnik , Francesco Borrelli

This paper considers the problem of solving infinite two-player games over finite graphs under various classes of progress assumptions motivated by applications in cyber-physical system (CPS) design. Formally, we consider a game graph G, a…

计算机科学与博弈论 · 计算机科学 2024-01-23 Anne-Kathrin Schmuck , K. S. Thejaswini , Irmak Sağlam , Satya Prakash Nayak

As we develop more assistive and automated game design systems, the question of how these systems should be integrated into game development workflows, and how much adaptation may be required, becomes increasingly important. In this paper…

软件工程 · 计算机科学 2020-04-07 Michael Cook

The predominant paradigm in evolutionary game theory and more generally online learning in games is based on a clear distinction between a population of dynamic agents that interact given a fixed, static game. In this paper, we move away…

计算机科学与博弈论 · 计算机科学 2020-12-16 Stratis Skoulakis , Tanner Fiez , Ryann Sim , Georgios Piliouras , Lillian Ratliff

We study some dynamical properties of a classical time-dependent elliptical billiard. We consider periodically moving boundary and collisions between the particle and the boundary are assumed to be elastic. Our results confirm that although…

混沌动力学 · 物理学 2016-12-21 Diego F. M. Oliveira , Marko Robnik

This study delves into the key issues of representation and accessibility in game development. Despite their societal significance, video games face ongoing criticism for lacking diversity in both the workforce and content, excluding…

人机交互 · 计算机科学 2024-07-09 Nooshin Darvishinia , Todd Goodson

We propose that genetic encoding of self-assembling components greatly enhances the evolution of complex systems and provides an efficient platform for inductive generalization, i.e. the inductive derivation of a solution to a problem with…

种群与进化 · 定量生物学 2007-05-23 Rudolf M. Fuechslin , Thomas Maeke , Uwe Tangen , John S. McCaskill

Distributed Nash equilibrium seeking of aggregative games is investigated and a continuous-time algorithm is proposed. The algorithm is designed by virtue of projected gradient play dynamics and distributed average tracking dynamics, and is…

最优化与控制 · 数学 2021-12-07 Shu Liang , Peng Yi , Yiguang Hong , Kaixiang Peng

We develop a method of adapting the AlphaZero model to General Game Playing (GGP) that focuses on faster model generation and requires less knowledge to be extracted from the game rules. The dataset generation uses MCTS playing instead of…

人工智能 · 计算机科学 2023-12-22 Michał Maras , Michał Kępa , Jakub Kowalski , Marek Szykuła

Children learn though play. We introduce the analogous idea of learning programs through play. In this approach, a program induction system (the learner) is given a set of tasks and initial background knowledge. Before solving the tasks,…

机器学习 · 计算机科学 2019-05-21 Andrew Cropper

This work introduces the concept of Variable Size Game Theory (VSGT), in which the number of players in a game is a strategic decision made by the players themselves. We start by discussing the main examples in game theory: dominance,…

种群与进化 · 定量生物学 2024-05-07 Matheus Hansen , Fabio A. C. C. Chalub

Obliging games have been introduced in the context of the game perspective on reactive synthesis in order to enforce a degree of cooperation between the to-be-synthesized system and the environment. Previous approaches to the analysis of…

计算机科学与博弈论 · 计算机科学 2024-07-17 Daniel Hausmann , Nir Piterman

Energy and pollution are urging problems of the 21th century. By gradually changing the actual power grid system, smart grid may evolve into different systems by means of size, elements and strategies, but its fundamental requirements and…

最优化与控制 · 数学 2025-12-19 Soufian Ben Amor , Alain Bui , Guillaume Guerard

Zero-sum games such as chess and poker are, abstractly, functions that evaluate pairs of agents, for example labeling them `winner' and `loser'. If the game is approximately transitive, then self-play generates sequences of agents of…

Finding approximate equilibria for large-scale imperfect-information competitive games such as StarCraft, Dota, and CounterStrike remains computationally infeasible due to sparse rewards and challenging exploration over long horizons. In…

机器学习 · 计算机科学 2026-05-15 JB Lanier , Nathan Monette , Pierre Baldi , Roy Fox

Finite games in normal form and their mixed extensions are a corner stone of noncooperative game theory. Often generic finite games and their mixed extensions are considered. But the properties which one expects in generic games and the…

最优化与控制 · 数学 2024-12-24 Claus Hertling , Matija Vujic

In this paper we present a process for automatically generating manuals for board games within the Ludii general game system. This process requires many different sub-tasks to be addressed, such as English translation of Ludii game…

人工智能 · 计算机科学 2021-09-21 Matthew Stephenson , Eric Piette , Dennis J. N. J. Soemers , Cameron Browne

We present Game-TARS, a generalist game agent trained with a unified, scalable action space anchored to human-aligned native keyboard-mouse inputs. Unlike API- or GUI-based approaches, this paradigm enables large-scale continual…