TacticAI: an AI assistant for football tactics

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A Mean-Field Game of Market Entry

“We consider both N-player and mean-field games of optimal portfolio liquidation in which the players are not allowed to change the direction of trading. Players with an initially short position of stocks are only allowed to buy while players with an initially long position are only allowed to sell the stock.

Under suitable conditions on the model parameters we show that the games are equivalent to games of timing where the players need to determine the optimal times of market entry and exit. We identify the equilibrium entry and exit times and prove that equilibrium mean-trading rates can be characterized in terms of the solutions to a highly non-linear higher-order integral equation with endogenous terminal condition. We prove the existence of a unique solution to the integral equation from which we obtain the existence of a unique equilibrium both in the mean-field and the N-player game”

Instinctive sleeping and resting postures

“If you are a medical professional and have been trained in a “civilised” country you probably know next to nothing about the primate Homo sapiens and how they survive in the wild. You probably do not know that nature has provided an automatic manipulator to correct most spinal and peripheral joint lesions in primates. In common with millions of other so called civilised people you suffer unnecessarily from musculoskeletal problems and are discouraged about how to treat the exponential rise in low back pain throughout the developed world. Humans are one of 200 species of primates. All primates suffer from musculoskeletal problems; nature, recognising this fact, has given primates a way to correct them.”

Weaving the vibrant fantasy world (and horrifying nighttime land) of Little Goody Two Shoes

“Developer AstralShift talks about the artistic inspirations and thought processes that went into creating the beautiful daytime and horrifying nighttime of the fantasy world of Little Goody Two Shoes.”

TacticAI: an AI assistant for football tactics

“As part of our multi-year collaboration with Liverpool FC, we develop a full AI system that can advise coaches on corner kicks”

The Puzzling Law and Economics of Out-of-State Tuition

“[State schools] almost always charge students from their own state much lower tuition. In the most recent data, average out-of-state tuition for four-year colleges was $26,382, versus $9,212 for in-state — roughly a 3:1 ratio.”