5 papers
New Families and Operations on Integrable Graphs
Matthew Visomirski, Christopher Griffin
In this paper, we investigate the integrability of Lotka-Volterra (replicator) systems arising from interaction matrices generated from corresponding graph structures, continuing w…
Coherent Structures and Travelling Waves in Spatial Replicators from a Biased Volterra Lattice
Matthew Visomirski, Christopher Griffin
The Volterra lattice is a well-known integrable family that is also a special class of replicator dynamics and whose members can be put in one-to-one correspondence with the direct…
Binary Option Market Manipulation by Influencing Belief Dynamics
Henry Waldhausen, Christopher Griffin
Using techniques from information geometry, we construct a semi-Hamiltonian system modelling trader beliefs in a binary asset market and study the impact of inequality or asymmetry…
Dynamics of An Information Theoretic Analog of Two Masses on a Spring
Geoff Goehle, Christopher Griffin
In this short communication we investigate an information theoretic analogue of the classic two masses on spring system, arising from a physical interpretation of Friston's free en…
Free Entropy Minimizing Persuasion in a Predictor-Corrector Dynamic
Geoff Goehle, Christopher Griffin
Persuasion is the process of changing an agent's belief distribution from a given (or estimated) prior to a desired posterior. A common assumption in the acceptance of information…