A Note on Selling Optimally Two Uniformly Distributed Goods

We provide a new, much simplified and straightforward proof to a result of Pavlov [2011] regarding the revenue maximizing mechanism for selling two goods with uniformly i.i.d. valuations over intervals $[c,c+1]$, to an additive buyer. This is done by explicitly defining optimal dual solutions to a relaxed version of the problem, where the convexity requirement for the bidder's utility has been dropped. Their optimality comes directly from their structure, through the use of exact complementarity. For $c=0$ and $c\geq 0.092$ it turns out that the corresponding optimal primal solution is a feasible selling mechanism, thus the initial relaxation comes without a loss, and revenue maximality follows. However, for $0<c<0.092$ that's not the case, providing the first clear example where relaxing convexity provably does not come for free, even in a two-item regularly i.i.d. setting

Why were FIFA World Cup Tickets so cheap?

We examine the pricing decision of a multi-product monopolist in a two-sided market where the type structure of buyers on one side of the market is an important determinant of profit on the other side. In this situation it might be optimal to set prices below the maximum sellout price and to ration demand by a random mechanism in the first market to reach a type distribution more favorable for sales in the other market. The model establishes demand quality as an alternative link between markets in addition to standard quantitative effects and explains frequently observed underpricing, e.g. in the (sports) entertainment industry. It also provides an explanation for the effort a monopolist incurs to deter from resale

Monopoly Pricing under Demand Uncertainty: Final Sales versus Introductory Offers

We study rationing as a tool of the monopolist’s selling policy when demand is uncertain. Three selling policies are potentially optimal in our environment: uniform pricing, final sales, and introductory offers. Final sales consist in charging a high price initially, but then lowering the price while committing to a total capacity. Consumers with a high valuation may decide to buy at the high price since the endogenous probability of rationing is higher at the lower price. Introductory offers consist in selling a limited quantity at a low price initially, and then raising price. Those consumers with high valuations who were rationed initially at the lower price may find it optimal to buy the good at the higher price. We show that the optimal selling policy involves either uniform pricing or final sales. Introductory offers may dominate uniform pricing, but can never be optimal if the monopolist can also use final sales.Rationing, priority pricing, sales, demand uncertainty, introductory offer, price dispersion, advance purchase discount

Optimal Monetary Policy and the Sources of Local-Currency Price Stability

We analyze the policy trade-offs generated by local currency price stability of imports in economies where upstream producers strategically interact with downstream firms selling the final goods to consumers. We study the effects of staggered price setting at the downstream level on the optimal price (and markup) chosen by upstream producers and show that downstream price movements affect the desired markup of upstream producers, magnifying their price response to shocks. We revisit the international dimensions of optimal monetary policy, unveiling an argument in favor of consumer price stability as the main prescription for monetary policy. Since stable consumer prices feed back into a low volatility of markups among upstream producers, this contains inefficient deviations from the law of one price at the border. However, efficient stabilization of different CPI components will not generally result into perfect stabilization of headline inflation. National policies optimally respond to the same shocks in a similar way, thus containing volatility of the terms of trade, but not necessarily of the real exchange rate. The latter will be more volatile, among other things, the larger the home bias in expenditure and the content of local inputs in consumer goods.

Nonlinear Pricing with Resale

We consider the problem of a monopolist---choosing an optimal nonlinear pricing scheme---facing two consumers who can resell some or all of the goods to each other in a secondary market. We suppose that the valuations of the consumers are drawn independently from a continuous distribution. We find conditions for the optimum direct mechanism and show that the monopolist can be better off or worse off as compared to the without resale case, depending on the specifics of the cost function of the monopolist and the utility functions of the consumers.

Price setting and the steady-state effects of inflation

This paper examines how price setting plays a key role in explaining the steady-state effects of inflation in a monopolistic competition economy. Three pricing variants (optimal prices, indexed prices, and unchanged prices) are introduced through a generalization of the Calvo-type setting that allows the possibility of price indexation, i.e., prices may be adjusted by the rate of inflation. We found that in an economy with less indexed prices the steady-state negative impact of inflation on output is higher. In the extreme case without no price indexation at all (purely Calvo-type economy), unrealistically heavy falls in capital and output were reported when steady-state inflation increases. Regarding welfare analysis, our results support a long-run monetary policy aimed at price stability with a close-to-zero inflation target. This finding is robust to any price setting scenario. JEL Classification: E13, E31, E50price setting, superneutrality, welfare cost of inflation

Liquidity Risk and Monetary Policy

This paper provides a framework to analyse emergency liquidity assistance of central banks on financial markets in response to aggregate and idiosyncratic liquidity shocks. The model combines the microeconomic view of liquidity as the ability to sell assets quickly and at low costs and the macroeconomic view of liquidity as a medium of exchange that influences the aggregate price level of goods. The central bank faces a trade-off between limiting the negative output effects of dramatic asset price declines and more inflation. Furthermore, the anticipation of central bank intervention causes a moral hazard effect with investors. This gives rise to the possibility of an optimal monetary policy under commitment

Advertising and Conspicuous Consumption

The paper formalizes the intuition that brands are consumed for image reasons and that advertising creates a brand’s image. The key idea is that advertising informs the public of brand names and creates the possibility of conspicuous consumption by rendering brands a signalling device. In a price competition framework, we show that advertising increases consumers’ willingness to pay and thus provide a foundation, based on optimization behavior, for persuasive approaches to advertising. Moreover, an incumbent might strategically overinvest in advertising to deter entry, there might be too much advertising, and competition might be socially undesirable

Misselling through agents

This paper analyzes the implications of the inherent conflict between two tasks performed by direct marketing agents: prospecting for customers and advising on the product's "suitability" for the specific needs of customers. When structuring sales-force compensation, firms trade off the expected losses from "misselling" unsuitable products with the agency costs of providing marketing incentives. We characterize how the equilibrium amount of misselling (and thus the scope of policy intervention) depends on features of the agency problem including: the internal organization of a firm's sales process, the transparency of its commission structure, and the steepness of its agents' sales incentives. JEL Classification: D18 (Consumer Protection), D83 (Search; Learning; Information and Knowledge), M31 (Marketing), M52 (Compensation and Compensation Methods and Their Effects)