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DTSTAMP:20260424T042618Z
UID:1752154200@ist.ac.at
DTSTART:20250710T153000
DTEND:20250710T163000
DESCRIPTION:Speaker: Jakub Svoboda\nhosted by Francesco Locatello\nAbstract
 : The evolution shapes the world around us. Not only in biology\, where th
 e fittest individuals spread their genes\, but also in physics and social 
 dynamics\, the evolutionary forces determine the development of a state of
  matter or public opinions. Many models describe these dynamics. This thes
 is examines the role of the structure in the models of selection.The popul
 ation structure is represented as a graph or a network\, and each vertex i
 s occupied by one individual. Every individual has a type and fitness that
  represents the reproductive potential and depends on the type\, occupied 
 vertex\, and the arrangement of the neighbors. The evolution is modeled in
  discrete steps\; in one step\, one individual is replaced by a neighbor s
 elected randomly with the influence of fitness.This thesis examines the ro
 le of structure in models of selection from multiple perspectives. It pres
 ents the first amplifiers (graphs that help advantageous mutants to spread
 ) for two variants of the Moran process: one with a constant birth rate an
 d the other with a constant death rate. The thesis describes the first str
 ucture that promotes cooperation in a setting where the fitness depends on
  an underlying game\, and determines the computational complexity of these
  game dynamics. Moreover\, it explores heterogeneous networks and signed g
 raphs\, and the influence of structure on evolutionary processes in these 
 settings.
LOCATION:Sunstone Bldg / O1 / Big Office Meeting room (101) (I23.O1.101) an
 d Zoom\, ISTA
ORGANIZER:
SUMMARY:Jakub Svoboda: Thesis Defense: Structural Properties of Games on Gr
 aphs
URL:https://talks-calendar.ista.ac.at/events/5858
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