I incorporate time-inconsistent preferences under hyperbolic discounting into the monetary search model following Lagos and Wright (2005) and use it to analyze two types of economies. One economy consists of sophisticated agents who understand their time inconsistency, whereas the other consists of naïve agents who do not understand their time inconsistency. I extend previous analyses of this topic by considering two monetary policy rules: inflation targeting under which the target variable is the inflation rate and nominal growth rate targeting under which the target variable is the growth rate of gross domestic product. Through this analysis, I show that inflation targeting can be a time-inconsistent monetary policy rule in the economy consisting of naïve agents even if there is no uncertainty.
