TY - JOUR AU - Menzio,Guido AU - Shi,Shouyong TI - Block Recursive Equilibria for Stochastic Models of Search on the Job JF - National Bureau of Economic Research Working Paper Series VL - No. 14907 PY - 2009 Y2 - April 2009 UR - http://www.nber.org/papers/w14907 L1 - http://www.nber.org/papers/w14907.pdf N1 - Author contact info: Guido Menzio Department of Economics University of Pennsylvania 467 McNeil Building 3718 Locust Walk Philadelphia, PA 19104 Tel: 773/865-6337 Fax: 215/573-2057 E-Mail: gmenzio@econ.upenn.edu Shouyong Shi University of Toronto Department of Economics 150 St. George Street Toronto, Ontario Canada, M5S 3G7 Tel: 416-978-4978 Fax: 416-978-6713 E-Mail: shouyong@chass.utoronto.ca AB - In this paper, we develop a general stochastic model of directed search on the job. Like in the analogous models of random search on the job, the state of the economy in our model includes the infinite-dimensional distribution of workers across different employment states (unemployment, and employment at different wages). Unlike the analogous models of random search on the job, our model admits an equilibrium in which the agents' value and policy functions do not depend on the distribution of workers. We refer to this type of equilibrium as a Block Recursive Equilibrium. Therefore, while solving the equilibrium of a random search model in a stochastic environment is a difficult task both analytically and computationally, solving the Block Recursive Equilibrium of our model is as easy as solving a representative agent model. ER -