HELP!!!!extremely urgent .....(Game Theory FINAL EXAM ) tomorrow morning?

Question

How to find Nash equilibrium in a 3 players game?? I only know how to find Nash equilibrium in a 2 players game...
i know i need to construct 2 matrices, and each payoff boxes should have 3 payoffs for each players, but how can we find Nash equilibrium????????HELP ME!!!

Answer 1

**sigh** I don't like to help out exam questions.

I'll give you a hint - matrices can be translated into a set of linear equations. When you have three such equations, you can solve the system conventionally if at least one of them is static. Otherwise, you have to use partial differential analysis, ie, solve for each variable ceteris paribus.