activity
20092025
most citedWright-Fisher construction of the two-parameter Poisson-Dirichlet diffusion

20 citations · 34 across the 26 of their papers we have counts for

collaborators

29 papers

math.PR2025

Long-term behavior of casino games

S. N. Ethier, L. Stefanello

We study the asymptotic behavior of the ratio of total return (or total profit) to total amount bet in a casino game. While the limit is well understood when the sequence of wagers…

stat.ME2025

Testing for dice control at craps

Stewart N. Ethier

Dice control involves "setting" the dice and then throwing them carefully, in the hope of influencing the outcomes and gaining an advantage at craps. How does one test for this abi…

math.PR2024

Variance reduction in Texas hold'em and in video poker

Stewart N. Ethier

In Texas hold'em, after an all-in bet is made and called before the flop, the turn, or the river, the two players sometimes agree to run it times, meaning that the remaining fi…

cs.GT2023

A game-theoretic analysis of baccara chemin de fer, II

Stewart N. Ethier, Jiyeon Lee

In a previous paper, we considered several models of the parlor game baccara chemin de fer, including Model B2 (a matrix game) and Model B3 (a m…

math.PR2023

Does the first-serving team have a structural advantage in pickleball?

Daryl R. DeFord, Stewart N. Ethier

In pickleball doubles with conventional side-out scoring, points are scored only by the serving team. The serve alternates during a game, with each team serving until it has faulte…

math.HO2021

Bertrand's analysis of baccarat

Stewart N. Ethier

Joseph Bertrand [1822--1900], who is often credited with a model of duopoly that has a unique Nash equilibrium, made another significant contribution to game theory. Specifically,…