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UID:20250921T152137EDT-3554CUGG1G@132.216.98.100
DTSTAMP:20250921T192137Z
DESCRIPTION:TITLE: \n\nThe compulsive gambler with allowances\n\n \n\nAbstr
 act: \n\nWe consider a process in which a finite set of n agents continual
 ly receive a 1 dollar allowance and gamble their fortunes\, all in\, with 
 one another at a constant rate. This is a variation on the existing compul
 sive gambler process\; in that process\, initial fortunes are prescribed a
 nd no further allowances are given out. For our process\, we find that aft
 er some time the distribution of wealth settles into a pattern in which mo
 st people have only a few dollars\, a few are very wealthy\, and a single 
 person possesses most of the cash currently present in the population. In 
 addition\, eventually the only way to attain first rank is by winning a be
 t against the current champion. Moreover\, if agents play a fair game\, i.
 e.\, the probability of winning a bet is proportional to the players' fort
 unes\, the title of champion is assumed by every player infinitely often\,
  although it changes less and less frequently as time goes on. Finally\, b
 y examining the process from both the perspective of typical fortune\, and
  that of large fortune\, we can go one step further and obtain two distinc
 t limiting processes as n --> infty\, with each one admitting a detailed d
 escription of its dynamics.\n
DTSTART:20170112T200000Z
DTEND:20170112T210000Z
LOCATION:BURN 920\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue 
 Sherbrooke Ouest
SUMMARY:Eric Foxall\, Arizona State University
URL:/mathstat/channels/event/eric-foxall-arizona-state
 -university-264922
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