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1. Consider the discrete model for price pn of a certain product: Pn+1 = f(Pn) =Pn + - -bpn-c (1) Pn where a and c
1. Consider the discrete model for price pn of a certain product: Pn+1 = f(Pn) =Pn + - -bpn-c (1) Pn where a and c are non-negative constants and b v6. (d) Using the chain rule show that the two 2-period fixed points become unstable at the same value of c which satisfies the equation, (3) where p, and p2 denote the 2-period fixed points. (e) Using equation 3 find the value of c at which the two 2-period fixed points become unstable (ie. the bifurcation point for 2-period fixed points)
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