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2021
2020
The Frequency of Convergent Games under Best-Response Dynamics
We calculate the frequency of games with a unique pure strategy Nash equilibrium in the ensemble of n-player, m-strategy normal-form …
Samuel Wiese
,
Torsten Heinrich
DOI
Spectrum of the Laplacian on Regular Polyhedra
We study eigenvalues and eigenfunctions of the Laplacian on the surfaces of four of the regular polyhedrons: tetrahedron, octahedron, …
Evan Greif
,
Daniel Kaplan
,
Robert Strichartz
,
Samuel Wiese
DOI
DATA
A Convex Surface with Fractal Curvature
We construct an example of a convex surface whose curvature is a fractal measure related to the Sierpinski Gasket. The construction …
Iancu Dima
,
Rachel Popp
,
Robert Strichartz
,
Samuel Wiese
DOI
DATA
Spectrum of the Laplacian on Snowflake Domains and filled-in Julia sets
We compute the spectrum of the Laplacian on snowflake domains and chosen filled-in Julia sets, their box-counting dimension and area …
Robert Strichartz
,
Samuel Wiese
DOI
DATA
Spectrum of the Laplacian on the Projective Hexagasket
One way to create new fractals from old fractals is to identify points. We use spectral decimation to investigate the spectrum of the …
Jeffrey Marino
,
Robert Strichartz
,
Samuel Wiese
Clockwork Best-Response Dynamics and Equilibrium Convergence in Random Multiplayer Games
We show that the playing sequence–the order in which players update their actions–is a crucial determinant of whether the …
Torsten Heinrich
,
Yoojin Jang
,
Luca Mungo
,
Marco Pangallo
,
Alex Scott
,
Bassel Tarbush
,
Samuel Wiese
arXiv
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