A spatial territory game in continuous space

Fugo Takasu


(Nara Women's University)

12月18日(火)13:30〜 理学部3号館6階数理生物学セミナー室
(at Room 3631, 6th floor of building 3 of the Faculty of Sciences)


Many game theoretic models assume one-to-one interactions between players who are regularly arranged in a lattice space. Previous models with such spatial structure have demonstrated the importance of "clustering" of kin, thereby evolution of cooperation is greatly facilitated. The assumption of "one-to-one interaction", however, is not necessarily satisfied in many cases of real ecological situations where individuals are likely located in continuous space and some individuals would have no opponent to play. Although games on regular lattice might successfully capture the essence of spacial structure, it remains open question how the structure of space, regular lattice or continuous space, affects the results previous studies have shown. In this talk, I construct a spatial territory game keeping more explicitly the individuality of players located in continuous space and discuss the direction of future potential research line.


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