57 citations · 98 across the 12 of their papers we have counts for
16 papers
Discrete Event Population Updates: finding game theoretic emergent behaviour in queueing systems with simulation
Vincent Knight, Geraint I. Palmer-Liyu, Thomas Hutton
Strategic behaviour in queueing systems has been studied extensively in the behavioural queueing literature, but almost exclusively for systems that admit closed-form expressions f…
Reviving, reproducing, and revisiting Axelrod's second tournament
Vincent Knight, Owen Campbell, Marc Harper +2
Direct reciprocity, typically studied using the Iterated Prisoner's Dilemma (IPD), is central to understanding how cooperation evolves. In the 1980s, Robert Axelrod organized two i…
Segmentation analysis and the recovery of queuing parameters via the Wasserstein distance: a study of administrative data for patients with chronic obstructive pulmonary disease
Henry Wilde, Vincent Knight, Jonathan Gillard +1
This work uses a data-driven approach to analyse how the resource requirements of patients with chronic obstructive pulmonary disease (COPD) may change, quantifying how those chang…
A novel initialisation based on hospital-resident assignment for the k-modes algorithm
Henry Wilde, Vincent Knight, Jonathan Gillard
This paper presents a new way of selecting an initial solution for the k-modes algorithm that allows for a notion of mathematical fairness and a leverage of the data that the commo…
Properties of Winning Iterated Prisoner's Dilemma Strategies
Nikoleta E. Glynatsi, Vincent Knight, Marc Harper
Researchers have explored the performance of Iterated Prisoner's Dilemma strategies for decades, from the celebrated performance of Tit for Tat to the introduction of the zero-dete…
Memory depth of finite state machine strategies for the iterated prisoner's dilemma
T. J. Gaffney, Marc Harper, Vincent A. Knight
We develop an efficient algorithm to determine the memory-depth of finite state machines and apply the algorithm to a collection of iterated prisoner's dilemma strategies. The calc…
Using a theory of mind to find best responses to memory-one strategies
Nikoleta E. Glynatsi, Vincent A. Knight
Memory-one strategies are a set of Iterated Prisoner's Dilemma strategies that have been praised for their mathematical tractability and performance against single opponents. This…
A bibliometric study of research topics, collaboration and centrality in the Iterated Prisoner's Dilemma
Nikoleta E. Glynatsi, Vincent A. Knight
This manuscript explores the research topics and collaborative behaviour of authors in the field of the Prisoner's Dilemma using topic modeling and a graph theoretic analysis of th…
Evolutionary Dataset Optimisation: learning algorithm quality through evolution
Henry Wilde, Vincent Knight, Jonathan Gillard
In this paper we propose a novel method for learning how algorithms perform. Classically, algorithms are compared on a finite number of existing (or newly simulated) benchmark data…
Recognising and evaluating the effectiveness of extortion in the Iterated Prisoner's Dilemma
Vincent A. Knight, Marc Harper, Nikoleta E. Glynatsi +1
Since the introduction of zero-determinant strategies, extortionate strategies have received considerable interest. While an interesting class of strategies, the definitions of ext…
An Evolutionary Game Theoretic Model of Rhino Horn Devaluation
Nikoleta E. Glynatsi, Vincent Knight, Tamsin E. Lee
Rhino populations are at a critical level due to the demand for rhino horn and the subsequent poaching. Wildlife managers attempt to secure rhinos with approaches to devalue the ho…
Ciw: An open source discrete event simulation library
Geraint I. Palmer, Vincent A. Knight, Paul R. Harper +1
This paper introduces Ciw, an open source library for conducting discrete event simulations that has been developed in Python. The strengths of the library are illustrated in terms…
Evolution Reinforces Cooperation with the Emergence of Self-Recognition Mechanisms: an empirical study of the Moran process for the iterated Prisoner's dilemma
Vincent Knight, Marc Harper, Nikoleta E. Glynatsi +1
We present insights and empirical results from an extensive numerical study of the evolutionary dynamics of the iterated prisoner's dilemma. Fixation probabilities for Moran proces…
Reinforcement Learning Produces Dominant Strategies for the Iterated Prisoner's Dilemma
Marc Harper, Vincent Knight, Martin Jones +3
We present tournament results and several powerful strategies for the Iterated Prisoner's Dilemma created using reinforcement learning techniques (evolutionary and particle swarm a…
An open reproducible framework for the study of the iterated prisoner's dilemma
Vincent Knight, Owen Campbell, Marc Harper +19
The Axelrod library is an open source Python package that allows for reproducible game theoretic research into the Iterated Prisoner's Dilemma. This area of research began in the 1…
Higher Spin Alternating Sign Matrices
Roger E. Behrend, Vincent A. Knight
We define a higher spin alternating sign matrix to be an integer-entry square matrix in which, for a nonnegative integer r, all complete row and column sums are r, and all partial…