activity
20002026
most citedNew paradoxical games based on Brownian ratchets

266 citations · 382 across the 7 of their papers we have counts for

collaborators

7 papers

math.RA2026

Clifford Algebra Calibration Post-Quantum Cryptography

G. P. Wilmot, J. Chappell, D. K. Abbott

The double lock scenario allows a secret to be transferred from one person to another without having previously exchanged secrets such as private/public keys. This can be realised…

quant-ph2026

Evolutionary stability and payoff equivalence in an Eisert-Wilkens-Lewenstein quantum game

Azhar Iqbal, Derek Abbott

An evolutionarily stable strategy (ESS) is a strategy that, once adopted by a population, cannot be invaded by any sufficiently rare alternative (mutant) strategy. We analyse evolu…

cs.GT2025

Continuation-Adjusted Full-Support Indifference in a Feedback Stackelberg Attacker--Defender Attrition Game

Azhar Iqbal, James M. Chappell, Derek Abbott

Successful attacks that remove assets break two familiar static regularities: coverage need not deter attack, and the defender need not push coverage until its budget or an individ…

quant-ph2023★ 4 cited

Resolving game theoretical dilemmas with quantum states

Azhar Iqbal, James M. Chappell, Claudia Szabo +1

We present a new framework for creating a quantum version of a classical game, based on Fine's theorem. This theorem shows that for a given set of marginals, a system of Bell's ine…

physics.gen-ph2015★ 4 cited

A new derivation of the Minkowski metric

James M. Chappell, John G. Hartnett, Nicolangelo Iannella +3

The four dimensional spacetime continuum, as first conceived by Minkowski, has become the dominant framework within which to describe physical laws. In this paper, we show how this…

quant-ph2002★ 108 cited

Quantum Parrondo's Games

Adrian P. Flitney, Joseph Ng, Derek Abbott

Parrondo's Paradox arises when two losing games are combined to produce a winning one. A history dependent quantum Parrondo game is studied where the rotation operators that repres…

cond-mat.stat-mech2000★ 266 cited

New paradoxical games based on Brownian ratchets

Juan M. R. Parrondo, Gregory P. Harmer, Derek Abbott

Based on Brownian ratchets, a counter-intuitive phenomenon has recently emerged -- namely, that two losing games can yield, when combined, a paradoxical tendency to win. A restrict…