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Small Income Effects: A Marshallian Theory of Consumer Surplus and Downward Sloping Demand
We formalize the Marshallian idea that when the proportion of income spent on any commodity is small then the income effects are small. If n is the number of goods, we show, under certain assumptions on preferences and prices, that the order of magnitude of the norm of the income derivative of demand is 1/√n. As a corollary we get that for the case of a single price change the percentage error in approximating the Hicksian Deadweight Loss by its Marshallian counterpart goes to zero at least at the rate 1/√n and that demand is downward sloping for n large enough.
Bank Runs as an Equilibrium Phenomenon
A standard demand-deposit contract in which individuals are entitled to their full deposit at any time provided the bank is solvent is analyzed in a context in which there are no exogenous events on which agents condition their behavior and a unique equilibrium involving a bank run with positive probability is shown to exist.
On the Strategic Choice of Spatial Price Policy
The strategic incentives, with respect to the choice of price policy in spatial competition, are analyzed in a duopoly model. Price discrimination emerges as the unique equilibriu m outcome in games with either simultaneous choice of policy and pric e or sequential choice where firms may commit first to uniform mill p ricing before the actual market stage. Nevertheless, profits may be h igher with uniform pricing. The authors' models are applied to analyz e some common business practices that arise in geographical pricing, like the basing point system, and in the pricing of varieties or opti ons from a base product in a product-differentiation context.