Price Competition for an Informed Buyer

We investigate the outcomes of simultaneous price competition in the presence of private information on the demand side. Each of two sellers offers a different variety of a good to a buyer endowed with a private binary signal on their relative quality. We analyze how the unique equilibrium of the game changes as a function of the (common) prior belief on the relative quality of the goods and the precision of the private information of the buyer. Competition is fierce, and the buyer enjoys high rents, when the prior belief is biased in favor of one good and private signals are not very informative: the ex ante superior seller cannot resist the temptation to clear the market, and triggers an aggressive response by the competitor. When instead the distribution of ex post valuations is highly spread, due to a vague prior belief and strong signals, the sellers become local monopolists and extract high rents from the buyer. We provide a full characterization of the mixed-strategy equilibrium which arises when the two goods are mildly differentiated ex post. Overall, the market-clearing temptation effect destroys the monotonicity and convexity of the equilibrium profit of a seller in the prior belief. As a consequence, a competing seller does not necessarily benefit from revelation of public information, sometimes even if biased in its favor. This paper analyzes the behavior of posterior distributions under the Jeffreys prior in a simultaneous equations model. The case under study is that of a general limited information setup with n + 1 endogenous variables. The Jeffreys prior is shown to give rise to a marginal posterior density which has Cauchy-like tails similar to that exhibited by the exact finite sample distribution of the corresponding LIML estimator. A stronger correspondence is established in the special case of a just-identified orthonormal canonical model, where the posterior density under the Jeffreys prior is shown to have the same functional form as the density of the finite sample distribution of the LIML estimator. The work here generalizes that of Chao and Phillips (1997), which gives analogous results for the special case of two endogenous variables.Cauchy tails, exact finite sample distributions, Jeffreys prior, just identification, limited information, posterior density, simultaneous equations model

Markets with bilateral bargaining and incomplete information

We study the relationship between bargaining and competition with incomplete information. We consider a model with two uninformed and identical buyers and two sellers. One of the sellers has a privately-known reservation price, which can either be Low or High. The other seller’s reservation price is commonly known to be in between the Low and High values of the privately-informed seller. Buyers move in sequence, and make offers with the second buyer observing the offer made by the first buyer. The sellers respond simultaneously. We show that there are two types of (perfect Bayes) equilibrium. In one equilibrium, the buyer who moves second does better. In the second equilibrium, buyers’ expected payoffs are equalised, and the price received by the seller with the known reservation value is determined entirely by the equuilibrium of the two-player game between a single buyer and an informed seller. We also discuss extensions of the model to multiple buyers and sellers, and to the case where both sellers are privately informed

Two-sided Certification: The market for Rating Agencies

Certifiers contribute to the sound functioning of markets by reducing a symmetric information. They, however, have been heavily criticized during the 2008-09 financial crisis. This paper investigates on which side of the market a monopolistic profit-maximizing certifier offers his service. If the seller demands a rating, the certifier announces the product quality publicly, whereas if the buyer requests a rating it remains his private information. The model shows that the certifier offers his service to sellers and buyers to maximize his own profit with a higher share from the sellers. Overall, certifiers increase welfare in specific markets. Revenue shifts due to the financial crisis are also explained

Pricing and trust

We experimentally examine the effects of flexible and fixed prices in markets for experience goods in which demand is driven by trust. With flexible prices, we observe low prices and high quality in competitive (oligopolistic) markets, and high prices coupled with low quality in non-competitive (monopolistic) markets. We then introduce a regulated intermediate price above the oligopoly price and below the monopoly price. In monopolies volume increases and so does quality, such that overall efficiency is raised by 50%. Somewhat surprisingly, the same pattern emerges in oligopolies. In fact, across all market forms transaction volume and traded quality are maximal in regulated oligopolies

Information Disclosure in Open Non-Binding Procurement Auctions: an Empirical Study

The outcome of non-binding reverse auctions critically depends on how information is distributed during the bidding process. We use data from a large European procurement platform to study the impact of different information structures, specifically the availability of quality information to the bidders, on buyers' welfare and turnover of the platform. First we show that on the procurement platform considered bidders indeed are aware of their rivals' characteristics and the buyers preferences over those non-price characteristics. In a counterfactual analysis we then analyze the reduction of non-price information available to the bidders. As we find, platform turnovers in the period considered would decrease by around 30%, and the buyers' welfare would increase by the monetary equivalent of around 45% of turnover of the platform

Dynamic Adverse Selection and the Size of the Informed Side of the Market

In this paper we examine the problem of dynamic adverse selection in a stylized market where the quality of goods is a seller’s private information. We show that in equilibrium all goods can be traded if a simple piece of information is made publicly available: the size of the informed side of the market. Moreover, we show that if exchanges can take place frequently enough, then agents roughly enjoy the entire potential surplus from exchanges. We illustrate these findings with a dynamic model of trade where buyers and sellers repeatedly interact over time. More precisely we prove that, if the size of the informed side of the market is a public information at each trading stage, then there exists a weak perfect Bayesian equilibrium where all goods are sold in finite time and where the price and quality of traded goods are increasing over time. Moreover, we show that as the time between exchanges becomes arbitrarily small, full trade still obtains in finite time – i.e., all goods are actually traded in equilibrium – while total surplus from exchanges converges to the entire potential. These results suggest two policy interventions in markets suffering from dynamic adverse selection: first, the public disclosure of the size of the informed side of the market in each trading stage and, second, the increase of the frequency of trading stages.dynamic adverse selection; full trade; size of the informed side; frequency of exchanges; asymmetric information

Dynamic Adverse Selection and the Size of the Informed Side of the Market

In this paper we examine the problem of dynamic adverse selection in a stylized market where the quality of goods is a seller’s private information. We show that in equilibrium all goods can be traded if a simple piece of information is made publicly available: the size of the informed side of the market. Moreover, we show that if exchanges can take place frequently enough, then agents roughly enjoy the entire potential surplus from exchanges. We illustrate these findings with a dynamic model of trade where buyers and sellers repeatedly interact over time. More precisely we prove that, if the size of the informed side of the market is a public information at each trading stage, then there exists a weak perfect Bayesian equilibrium where all goods are sold in finite time and where the price and quality of traded goods are increasing over time. Moreover, we show that as the time between exchanges becomes arbitrarily small, full trade still obtains in finite time – i.e., all goods are actually traded in equilibrium while total surplus from exchanges converges to the entire potential. These results suggest two policy interventions in markets suffering from dynamic adverse selection: first, the public disclosure of the size of the informed side of the market in each trading stage and, second, the increase of the frequency of trading stagesdynamic adverse selection; full trade; size of the informed side; frequency of exchanges; asymmetric information

Markets with Bilateral Bargaining and Incomplete Information

We study the relationship between bargaining and competition with incomplete information. We consider a model with two uninformed and identical buyers and two sellers. One of the sellers has a privately-known reservation price, which can either be Low or High. The other seller’s reservation price is commonly known to be in between the Low and High values of the privately-informed seller. Buyers move in sequence, and make offers with the second buyer observing the offer made by the first buyer. The sellers respond simultaneously. We show that there are two types of (perfect Bayes) equilibrium. In one equilibrium, the buyer who moves second does better. In the second equilibrium, buyers’ expected payoffs are equalised, and the price received by the seller with the known reservation value is determined entirely by the equuilibrium of the two-player game between a single buyer and an informed seller. We also discuss extensions of the model to multiple buyers and sellers, and to the case where both sellers are privately informed.