I'm doing my economics thesis on game theory, and need to solve a system of nonlinear equations (these will be the reaction functions). Unfortunately, I have no idea how to solve it explicitly--indeed, im a bit worried its impossible with the parameters. It is rather symmetric though.(adsbygoogle = window.adsbygoogle || []).push({});

The system is as such:

a_{0}x^{2}+ a_{1}xy + a_{2}x + a_{3}y + a_{4}= 0

b_{0}y^{2}+ b_{1}xy + b_{2}x + b_{3}y + b_{4}= 0

Any help pointing me in the right direction is much appreciated!

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Solving a nonlinear system with parameters

**Physics Forums | Science Articles, Homework Help, Discussion**