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Shopping Externalities and Self Fulfilling Unemployment Fluctuations*

Shopping Externalities and Self Fulfilling Unemployment Fluctuations*

Shopping Externalities and Self Fulfilling Unemployment Fluctuations*

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claims). However, they certainly indicate that sentiment shocks are a promising explanationfor the recent behavior of the US economy.The …rst contribution of the paper is to identify <strong>and</strong> quantify a novel set of externalities—the shopping externalities— that can lead to strategic complementarities in the employmentdecision of di¤erent …rms <strong>and</strong>, in turn, to multiple rational expectations equilibria. The…rst shopping externality is a st<strong>and</strong>ard dem<strong>and</strong> externality, i.e. when a …rm increases itsworkforce, it increases the dem<strong>and</strong> facing other …rms’because employed workers spend morethan unemployed workers. The second shopping externality is a market power externality,i.e. when a …rm increases its workforce, it lowers the extent of competition among other …rmsbecause employed workers spend less time searching for low prices than unemployed workers.Theoretically, the presence of dem<strong>and</strong> externalities has long been recognized as a possiblesource of multiplicity (see, e.g., Heller 1986, Roberts 1987, Blanchard <strong>and</strong> Kiyotaki 1988,Cooper <strong>and</strong> John 1988, <strong>and</strong> Gali 1996). Quantitatively, though, we …nd that the dem<strong>and</strong>externality alone is not su¢ cient to generate multiplicity because of the small empiricaldi¤erences between the expenditures of employed <strong>and</strong> unemployed workers. In contrast, we…nd that the combination of the dem<strong>and</strong> externality <strong>and</strong> the market power externality isstrong enough to generate multiple equilibria.Several papers generate strategic complementarities in the employment decision of different…rms <strong>and</strong>, in turn, generate multiple rational expectations equilibria by assumingincreasing returns to scale in either matching or production. For example, Diamond (1982),Diamond <strong>and</strong> Fudenberg (1989) <strong>and</strong> Boldrin, Kiyotaki <strong>and</strong> Wright (1993) generate multiplicityby assuming increasing returns to scale in the product market matching function.Similarly, Benhabib <strong>and</strong> Farmer (1994), Farmer <strong>and</strong> Guo (1994), Christiano <strong>and</strong> Harrison(1999) <strong>and</strong> Mortensen (1999) generate multiplicity by assuming increasing returns to scalein the production function. In contrast, in our model, both the production <strong>and</strong> the matchingtechnologies have constant returns to scale. Moreover, while there is no compelling empiricalevidence of increasing returns to scale in either production or matching, we …nd thatthe empirical di¤erences in the shopping behavior of employed <strong>and</strong> unemployed workers arestrong enough to generate multiple equilibria.The type of multiplicity obtained in our model— i.e. multiple rational expectations equilibrialeading to di¤erent steady states— is di¤erent from the one obtained in Benhabib <strong>and</strong>Farmer (1994) <strong>and</strong> Farmer <strong>and</strong> Guo (1994)— i.e. multiple rational expectations equilibrialeading to the same steady-state equilibrium. Similarly, the type of non-fundamental shocksthat are introduced in our model are shocks to the agents’expectations about future longrunoutcomes, while non-fundamental shocks in Benhabib <strong>and</strong> Farmer (1994) <strong>and</strong> Farmer5

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