20 citations · 33 across the 29 of their papers we have counts for
4 papers · 1 filter
Granularity of wagers in games and the possibility of savings
George Barmpalias, Nan Fang
In a casino where arbitrarily small bets are admissible, any betting strategy M can be modified into a savings strategy that, not only is successful on each casino sequence where M…
Integer Valued Betting strategies and Turing Degrees
George Barmpalias, Rod G. Downey, Michael McInerney
Betting strategies are often expressed formally as martingales. A martingale is called integer-valued if each bet must be an integer value. Integer-valued strategies correspond to…
Tipping Points in Schelling Segregation
George Barmpalias, Richard Elwes, Andy Lewis-Pye
One of the earliest agent-based economical models, Schelling's spacial proximity model illustrated how global segregation can emerge, often unwanted, from the actions of agents of…
Digital morphogenesis via Schelling segregation
George Barmpalias, Richard Elwes, Andy Lewis-Pye
Schelling's model of segregation looks to explain the way in which particles or agents of two types may come to arrange themselves spatially into configurations consisting of large…