Price Setting with Strategic Complementarities as a Mean Field Game / Fernando E. Alvarez, Francesco Lippi, Takis Souganidis.

By:

Alvarez, Fernando E

Contributor(s):

Material type: Text

TextSeries: Working Paper Series (National Bureau of Economic Research) ; no. w30193.Publication details: Cambridge, Mass. National Bureau of Economic Research 2022.Description: 1 online resource: illustrations (black and white)Subject(s):

Other classification:

Online resources:

Available additional physical forms:

Hardcopy version available to institutional subscribers

Abstract: We study the propagation of monetary shocks in a sticky-price general-equilibrium economy where the firms' pricing strategy feature a complementarity with the decisions of other firms. In a dynamic equilibrium the firm's price-setting decisions depend on aggregates, which in turn depend on firms' decisions. We cast this fixed-point problem as a Mean Field Game and establish several analytic results. We study existence and uniqueness of the equilibrium and characterize the impulse response function (IRF) of output following an aggregate "MIT" shock. We prove that strategic complementarities make the IRF larger at each horizon, in a convex fashion. We establish that complementarities may give rise to an IRF with a hump-shaped profile. As the complementarity becomes large enough the IRF diverges and at a critical point there is no equilibrium. Finally, we show that the amplification effect of the strategic interactions is similar across models. For instance, the Calvo model and the Golosov-Lucas model display a comparable amplification, in spite of the fact that the non-neutrality in Calvo is much larger.

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Home library	Collection	Call number	Status	Date due	Barcode	Item holds
Working Paper	Biblioteca Digital	Colección NBER	nber w30193 (Browse shelf(Opens below))	Not For Loan

Total holds: 0

July 2022.

We study the propagation of monetary shocks in a sticky-price general-equilibrium economy where the firms' pricing strategy feature a complementarity with the decisions of other firms. In a dynamic equilibrium the firm's price-setting decisions depend on aggregates, which in turn depend on firms' decisions. We cast this fixed-point problem as a Mean Field Game and establish several analytic results. We study existence and uniqueness of the equilibrium and characterize the impulse response function (IRF) of output following an aggregate "MIT" shock. We prove that strategic complementarities make the IRF larger at each horizon, in a convex fashion. We establish that complementarities may give rise to an IRF with a hump-shaped profile. As the complementarity becomes large enough the IRF diverges and at a critical point there is no equilibrium. Finally, we show that the amplification effect of the strategic interactions is similar across models. For instance, the Calvo model and the Golosov-Lucas model display a comparable amplification, in spite of the fact that the non-neutrality in Calvo is much larger.