Revisiting Multiplicity of Bubble Equilibria in a Search Model with Posted Prices

Multiplicity of equilibria naturally obtains in search models of money with price posting: buyers' money holdings depend on posted prices, which, in turn, depend on buyers' money holdings. I show that this multiplicity of equilibria exists in general even when money is replaced with a dividend-bearing asset, as long as the asset is useful as a medium of exchange. If the fundamental value of the asset is sufficiently high, there is a unique equilibrium, in which the price of the asset equals its fundamental value. For lower fundamental values, there is a continuum of bubble equilibria, in which the price of the asset exceeds the fundamental value. For very low fundamental values, the equilibrium is again unique but the asset is not used as a medium of exchange. I characterize the set of symmetric and asymmetric bubble equilibria for both positive and negative fundamental values.