Equilibrium theory with asymmetric information and infinitely many states

Radner (1968) proved the existence of a competitive equilibrium for differential information economies with finitely many states. We extend this result to economies with infinitely many states of nature.

Essays on asymmetric information problems without the single-crossing property: applications to corporate finance

The objective of this dissertation is to re-examine classical issues in corporate finance, applying a new analytical tool. The single-crossing property, also called Spence-irrlees condition, is not required in the models developed here. This property has been a standard assumption in adverse selection and signaling models developed so far. The classical papers by Guesnerie and Laffont (1984) and Riley (1979) assume it. In the simplest case, for a consumer with a privately known taste, the single-crossing property states that the marginal utility of a good is monotone with respect to the taste. This assumption has an important consequence to the result of the model: the relationship between the private parameter and the quantity of the good assigned to the agent is monotone. While single crossing is a reasonable property for the utility of an ordinary consumer, this property is frequently absent in the objective function of the agents for more elaborate models. The lack of a characterization for the non-single crossing context has hindered the exploration of models that generate objective functions without this property. The first work that characterizes the optimal contract without the single-crossing property is Araújo and Moreira (2001a) and, for the competitive case, Araújo and Moreira (2001b). The main implication is that a partial separation of types may be observed. Two sets of disconnected types of agents may choose the same contract, in adverse selection problems, or signal with the same levei of signal, in signaling models.

Optimal regulation of oil fields under asymmetric information

Neste trabalho é analisada a relação entre um regulador e uma empresa petrolífera. Há várias incertezas inerentes à essa relação e o trabalho se concentra nos efeitos da assimetria de informação. Fazemos a caracterização da regulação ótima sob informação assimétrica, quando o regulador deve desenhar um mecanismo que induz a firma a revelar corretamente sua informação privada. No caso em que a rma não pode se comprometer a não romper o acordo, mostramos que o regulador pode não implementar o resultado ótimo que é obtido sob informação completa. Nesse caso, o regulador não consegue compartilhar os riscos com a firma de forma ótima. Por fim, é apresentado um exemplo, em que mostramos que a condição de Spence-Mirrlees (SMC) pode não valer. Esse resultado aparece de forma natural no modelo.

Construction of facilities under asymmetric information: do constitutional constraints matter?

This paper studies construction of facilities in a federal state under asymmetric information. A country consists of two regions, each ruled by a local authority. The federal government plans to construct a facility in one of the regions. The facility generates a local value in the host region and has spillover effects in the other region. The federal government does not observe the local value because it is the local authority's private information. 80 the federal governrnent designs an incentive-compatible mechanism, specifying if the facility should be constructed and a balanced scheme of interregional transfers to finance its cost. The federal governrnent is constitutionally constrained to respect a given leveI of each region's welfare. We show that depending upon the facility's local value and the spillover effect, the governrnent faces different incentive problems. Moreover, their existence depends crucially on how stringent constitutional constraints are. Therefore, the optimal mechanism will also depend upon these three features of the model.

Common agency with informed principals

We analyze a common agency game under asymmetric information on the preferences of the non-cooperating principals in a public good context. Asymmetric information introduces incentive compatibility constraints which rationalize the requirement of truthfulness made in the earlier literature on common agency games under complete information. There exists a large class of differentiable equilibria which are ex post inefficient and exhibit free-riding. We then characterize some interim efficient equilibria. Finally, there exists also a unique equilibrium allocation which is robust to random perturbations. This focal equilibrium is characterized for any distribution of types.

Non-monotone insurance contracts and their empirical consequences

The goal of this paper is to show the possibility of a non-monotone relation between coverage ans risk which has been considered in the literature of insurance models since the work of Rothschild and Stiglitz (1976). We present an insurance model where the insured agents have heterogeneity in risk aversion and in lenience (a prevention cost parameter). Risk aversion is described by a continuous parameter which is correlated with lenience and for the sake of simplicity, we assume perfect correlation. In the case of positive correlation, the more risk averse agent has higher cosr of prevention leading to a higher demand for coverage. Equivalently, the single crossing property (SCP) is valid and iplies a positive correlation between overage and risk in equilibrium. On the other hand, if the correlation between risk aversion and lenience is negative, not only may the SCP be broken, but also the monotonocity of contracts, i.e., the prediction that high (low) risk averse types choose full (partial) insurance. In both cases riskiness is monotonic in risk aversion, but in the last case there are some coverage levels associated with two different risks (low and high), which implies that the ex-ante (with respect to the risk aversion distribution) correlation between coverage and riskiness may have every sign (even though the ex-post correlation is always positive). Moreover, using another instrument (a proxy for riskiness), we give a testable implication to desentangle single crossing ans non single croosing under an ex-post zero correlation result: the monotonicity of coverage as a function os riskiness. Since by controlling for risk aversion (no asymmetric information), coverage is monotone function of riskiness, this also fives a test for asymmetric information. Finally, we relate this theoretical results to empirical tests in the recent literature, specially the Dionne, Gouruéroux and Vanasse (2001) work. In particular, they found an empirical evidence that seems to be compatible with asymmetric information and non single crossing in our framework. More generally, we build a hidden information model showing how omitted variables (asymmetric information) can bias the sign of the correlation of equilibrium variables conditioning on all observable variables. We show that this may be the case when the omitted variables have a non-monotonic relation with the observable ones. Moreover, because this non-dimensional does not capture this deature. Hence, our main results is to point out the importance of the SPC in testing predictions of the hidden information models.

Land taxes in a Latin American context

Since Henry George (1839-1897) economists have been arguing that a tax on unimproved land is an ideal tax on efficiency grounds. Output taxes, on the other hand, have distortionary effects on the economy. This paper shows that under asymmetric information output taxes might be used along with land tax in order to implement an optimal taxation scheme in a Latin American context, i.e., where land rental markets are relatively thin, land property provides non-agricultural payoffs and there is nonrevenue objectives of land taxation. Also, the model has two implications that can be tested empirically: (i) there is evasion when schemes based only on land taxes are implemented; (ii) this evasion is more severe for large landholders.

Verificação da Existência de Assimetria de Informação no Processo de Emissão de Ações no Mercado Brasileiro - 'Uma Forma de Medir a Importância da Estrutura de Ativos da Empresa'

This paper will verify the existence of asymmetric information in Brazilian stock market through tests on stocks prices behavior of Brazilian companies during 1990-1996 period. The analysis will be conducted in the context of an equilibrium model of the issue-invest decision developed by Myers e Majluf. This study will seek to discuss new asymmetric information measures using statistic models ARCH and GARCH which consider data series heterocedasticity. Therefore, we will try to amply the concept of correct measure suggested by Nathalie Dierkens.

Verificação da existência de assimetria de informação no processo de emissão de ações no mercado brasileiro

O presente estudo busca realizar uma revisão bibliográfica sobre Assimetria de Informação, de forma a permitir sua análise no mercado brasileiro de capitais. A análise será conduzida com base no modelo de equilíbrio da decisão de emissão-investimento desenvolvido por Myers e Majluf. Este trabalho procurará discutir novas formas de medir Assimetria de Informação através da utilização de modelos estatísticos que permitam, posteriormente, utilizar modelos tais como ARCH e GARCH que consideram a heterocedasticidade da série de dados, desta forma, ampliando o conceito de medida correta sugerido por Nathalie Dierkens.

Diferenciação vertical em um modelo de hotelling com firmas heterogêneas

O trabalho apresenta um modelo de competição duopolista, com firmas heterogêneas (custos marginais diferentes), produtos espacialmente diferenciados quanto a dimensão vertical e horizontal, e informação privada sobre as preferências por qualidade dos consumidores. Identifica-se que a assimetria de informação sobre a dimensão vertical e a diferença de custos exercem grande relevância sobre a decisão de apreçamento das firmas e sobre as estruturas de mercado de equilíbrio. Um resultado relevante decorrente desses dois aspectos é a existência de uma massa de consumidores que, em equilíbrio, pode demandar de qualquer uma das firmas, sendo essa decisão pautada sobre o real parâmetro de preferência por qualidade de cada consumidor. Observa-se também que quanto maior a heterogeneidade dos custos, maior é o poder de mercado da firma de menor custo.

Posição de caixa e o retorno das ações no mercado acionário brasileiro, 1994-2009

Este trabalho busca, através dos princípios de Finanças Corporativas e de Apreçamento de Ativos, mensurar o impacto do nível de liquidez das companhias na expectativa de retorno das ações no mercado acionário brasileiro. O pressuposto básico dessa relação é que a posição de caixa representa um tipo de risco não capturado por outras variáveis. Para mensurar esse risco, será utilizada a modelagem de fatores para apreçamento de ativos. O modelo básico utilizado será o de três fatores de Fama e French, adaptado para a inclusão da variável caixa. A partir da base de dados, se tentará estimar a sensibilidade do retorno esperado das ações brasileiras ao fator caixa.

Interim efficiency with MEU-preferences

Recently Kajii and (2008) proposed to characterize interim efficient allocations in an exchange economy under asymmetric information when uncertainty is represented by multiple posteriors. When agents have Bewley's incomplete preferences, Kajii and Ui (2008) proposed a necessary and sufficient condition on the set of posteriors. However, when agents have Gilboa--Schmeidler's MaxMin expected utility preferences, they only propose a sufficient condition. The objective of this paper is to complete Kajii and Ui's work by proposing a necessary and sufficient condition for interim efficiency for various models of ambiguity aversion and in particular MaxMin expected utility. Our proof is based on a direct application of some results proposed by Rigotti, Shannon and Stralecki (2008).

Three principles of competitive nonlinear pricing

We make three contributions to the theory of contracting under asymmetric information. First, we establish a competitive analog to the revelation principIe which we call the implementation principIe. This principIe provides a complete characterization of all incentive compatible, indirect contracting mechanisms in terms of contract catalogs (or menus), and allows us to conclude that in competi tive contracting situations, firms in choosing their contracting strategies can restrict attention, without loss of generality, to contract catalogs. Second, we establish a competi tive taxation principIe. This principIe, a refinement of the implementation principIe, provides a complete characterization of all implementable nonlinear pricing schedules in terms of product-price catalogs and allows us to reduce any game played over nonlinear pricing schedules to a strategically equivalent game played over product-price catalogs. Third, using the competitive taxation principIe and a recent result due to Reny (1999) on the existence of Nash equilibria in discontinuous games, we demonstrate the existence of a N ash equilibrium for the mixed extension of the nonlinear pricing game.

Testing the Markov property with ultra high frequency financial data

This paper develops a framework to test whether discrete-valued irregularly-spaced financial transactions data follow a subordinated Markov process. For that purpose, we consider a specific optional sampling in which a continuous-time Markov process is observed only when it crosses some discrete level. This framework is convenient for it accommodates not only the irregular spacing of transactions data, but also price discreteness. Further, it turns out that, under such an observation rule, the current price duration is independent of previous price durations given the current price realization. A simple nonparametric test then follows by examining whether this conditional independence property holds. Finally, we investigate whether or not bid-ask spreads follow Markov processes using transactions data from the New York Stock Exchange. The motivation lies on the fact that asymmetric information models of market microstructures predict that the Markov property does not hold for the bid-ask spread. The results are mixed in the sense that the Markov assumption is rejected for three out of the five stocks we have analyzed.

Leilões de valor quase comum e o regime de partilha de produção brasileiro: uma abordagem teórica

Neste trabalho, estudamos o regime de partilha de produção brasileiro, instituído pela Lei N$^o$ 12.351, para exploração de petróleo através de uma abordagem teórica. Alguns artigos da literatura de leilões de valor quase comum foram estudados aqui. Além disso, desenvolvemos um modelo de partilha de produção com informação assimétrica a fim de capturar algumas características do modelo de partilha brasileiro. Através de solução numérica, fazemos uma análise das estratégias dos participantes e dos ganhos esperados.