Geometric analysis and game theory

Hello!  My name is Julie Rowlett, and I work as an associate professor in the division of analysis and probability theory at the joint mathematics department of Chalmers University and the University of Gothenburg.  My main research focus is geometric and microlocal analysis, often in singular geometric settings, but I also maintain several interdisciplinary collaborations.  It turns out that geometric analysis and analysis on singular spaces is quite useful in non-cooperative game theory.  Non-cooperative game theory has numerous applications in a huge range of contexts.  One such context is biology.  I have been collaborating with biologists and oceanographers to use non-cooperative game theory to elucidate puzzling ecological characteristics of microbes: 

and currently under review:  https://arxiv.org/abs/2012.06633

Another context in which one can readily apply non-cooperative game theory is to understand and predict human behaviors.  Check out: 

http://www.math.chalmers.se/~rowlett/lstg.pdf

Last year when the pandemic struck, during one of our research meetings, my PhD student, Carl-Joar Karlsson, and I discussed whether we could explain the toilet paper buying craze using game theory?  It turned out that we could.  Buying all the toilet paper is an equilibrium strategy in a non-cooperative, prisoner’s dilemma type game.  This led me to ask the question, what happens if we combine game theory with epidemiological models?  Can we understand or predict human behavior trends and/or the spread of disease?  To some extent we can.  The results we obtained are available here:  

A popular description and summary of the article (in French) is contained here: 

If you’re curious to know more about my research, it is all available through my homepage:

http://www.math.chalmers.se/~rowlett/index.html

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