Tuesday, October 19, 2004

Teaching is game theory: Nash Equilibrium.

DEFINITION: Nash Equilibrium - If there is a set of strategies with the property that no player can benefit by changing her strategy while the other players keep their strategies unchanged, then that set of strategies and the corresponding payoffs constitute the Nash Equilibrium.

The basic idea behind Nash Equilibrium is that you need to find the solution that best benefits everyone. If only one person gets all the benefit, then it's not benefitting anyone else and is in actuality not the best solution.

Managing a classroom is could be a master's thesis on game theory. There are so many factors to take into consideration while teaching the class. Where people are sitting, who the teacher is addressing, who's answering questions, who's doing the work, who's not paying attention, and so on ad infinitum.

Adresssing only a few students or not taking all these factors into account could lead to not serving each student. It's not done perfectly every day, but I see myself getting better at noting these things and I see improvement in my students.

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