# Is it possible for a Central Bank to escape from a deflation trap by 'hiding' information?

I'm reading this book on macroeconomics.

When determining the nominal interest rate, the Central Bank has in mind its real interest rate goal. By the Fisher Equation: $i_t=r_t+\pi^{E_{CB}}_{t+1}$, since at time $t$, I would need to know the price level at time $t+1$ to know inflation for next period, we use an expected value for inflation. I put the superscript $^{E_{CB}}$ to denote that the expectancy is formed by the central bank.

In the usual Philips Curve, we have $\pi_{t+1}=\pi^{E_{SS}}_{t+1}+\alpha(y_{t+1}-y_e)$ I put the superscript $^{E_{SS}}$ to denote that the expectancy is formed by the Supply Side (wage and price setters, i.e., with all available public information).

Recently, from a talk with someone who worked at a central bank, I learned that there's some difference in amount/quality of information that it's publicly available to wage and price setters, and that which is available to the Central Bank.

In the book I'm reading, the authors state one possible way of escaping a deflation trap, even if in practice it will not always work, is that to have higher expectations so that the minimum threshold for the real interest rate is lower enough to increase output until equilibrium.

Now I was wondering if it was not possible for, in some situation, the CB publicly divulged information lead to workers and firms have higher expected inflation, while the CB would know those expectations to be a bit too optimistic, such that in reality that period real interest rate would be much lower to be enough to get out of deflation trap?

I think I must be making some errors in this reasoning.

Any help would be appreciated

• It is my impression that you have installed a tap in my brain. Differentiated information sets and strategic use of information from "opinion makers" and whether it can successfully manipulate the public's expectations (at least in the short run) is the next step in the research I have started in my PhD! Nov 22 '15 at 16:44
• In my opinion, strategies where information sets are used strategically could work in a static sense. However, in a case where interactions are dynamic , misrepresentation of information should lead to decreases in credibility. Put differently, if the monetary authorities divulged exactly the opposite of the information which would lead to individuals making large errors in prediction, perhaps the optimal strategy of individuals next period should be to completely discount the information given out/ or act opposite to what they would have done if information was credible. Nov 22 '15 at 18:38
• I guess a model of the form where information sets are mispresented should take into account the costs of this misrepresentation as well...I can imagine models where the monetary authorities have to optimize with regards to amount of information to misrepresent, with a cost of loss of credibility for future amounts of information. Nov 22 '15 at 18:41
• @AlecosPapadopoulos =D It's a great compliment you give me to be able to have an idea with some semblance to one of yours. ;) Nov 22 '15 at 23:47
• @ChinG Yes, there would be a cost in the reputation, only if the public were aware of this possibility and the CB had no way in the near future to return to the true values without making the reversion public knowledge. Intuitively, at least. Nov 22 '15 at 23:51