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Research Bernoulli Institute Calendar Colloquia - Mathematics

Colloquium Mathematics - Prof. Maria Deijfen University of Stockholm

When:Tu 10-12-2019 16:00 - 17:00
Where:5161.0293 Bernoulliborg

Title: Friendly frogs, stable matchings and the magic of invariance


Consider the following two-player game. A set of points in R^d
is fixed - we can imagine (for the two-dimensional case) that these are
locations of lilypads on a pond. There are two frogs and two players
take turns to move a frog to an unoccupied lilypad in such a way that
the distance between the frogs is strictly decreased. A player that
cannot move loses. We analyze this game and some variants of it,
discovering links to a range of models of stable matchings. We focus
particularly on the case of random infinite sets, where we use
invariance, ergodicity, mass transport and deletion-tolerance to
determine game outcomes.