Finite Memory Distributed Systems

A distributed system model is studied, where individual agents play repeatedly against each other and change their strategies based upon previous play. It is shown how to model this environment in terms of continuous population densities of agent types. A complication arises because the population densities of different strategies depend upon each other not only through game payoffs, but also through the strategy distributions themselves. In spite of this, it is shown that when an agent imitates the strategy of his previous opponent at a sufficiently high rate, the system of equations which governs the dynamical evolution of agent populations can be reduced to one equation for the total population. In a sense, the dynamics 'collapse' to the dynamics of the entire system taken as a whole, which describes the behavior of all types of agents. We explore the implications of this model, and present both analytical and simulation results.

Existence of Equilibrium for Segmented Markets Models with Interest Rate Monetary Policies

Several studies have recently adopted the segmented markets model as a framework for monetary analysis. The characteristic assumption is that some households never participate in financial markets. This paper proves the existence of an equilibrium for segmented markets models where monetary policy is defined in terms of the short-term nominal interest rate. The model allows us to consider the important cases where monetary policy affects output, and responds to any sources of uncertainty, including output itself. The assumptions required for existence constrain the maximum value and the variability of the nominal interest rate. The period utility function is logarithmic. The proof is constructive, and shows how the model can be solved numerically. A similar proof can be used in the case that monetary policy is defined in terms of the bond supply.

Affiliated Common Value Auctions with Differential Information: The Two Bidder Case

I study affiliated, pure common-value auctions with ex-ante asymmetric buyers. For the two-buyer case I characterize and prove uniqueness of the equilibrium of hybrid auctions where the payment is a weighted average of the highest and second-highest bids. A recursive method to explicitly compute the equilibrium is presented. It is shown that any hybrid auction yields at least as much revenue as the first-price auction. In particular, the equilibrium of the second-price auction, obtained in the limit by letting the weight of the highest bid go to zero, revenue-dominates the first-price auction.

Assessing the Likelihood of Panic-Based Bank Runs

Conditional on the considered equilibrium, the probability of a bank run in the demand-deposit contract models of Bryant (1980) and of Diamond and Dybvig (1983) is either one or zero. In contrast, we establish the existence of an interval - being a strict subset of the unit-interval - of possible bank run probabilities for a two-player demand-deposit contract model where players receive independent signals about their liquidity desire from a continuous type space. As our main result we demonstrate that this interval reduces to a unique probability of a panic-based bank strictly smaller than one if and only if there exist types for which not running on the bank is a dominant action. In addition to existing models of bank runs such as, e.g., Goldstein and Pauzner (2005), our approach also provides some assessment of the likelihood of a bank run if there are no types for which not running on the bank is a dominant action. As a consequence, we can investigate the comparative statics of the likelihood of bank runs with respect to a larger range of payoff parameters than considered in previous models. Furthermore, we derive a technical result by which the findings of Morris and Shin (2005) on the dominance-solvability of binary action games with strategic complements also apply to nice games in the sense of Moulin (1984) if players' best response functions are increasing.

Are Manufacturers Competing through or with Supermarkets? A Theoretical Investigation

We study a model with product differentiation by manufacturers and spatial differentiation by supermarkets where the customers visit only one shop and the supermarkets carry both goods. Under fixed fee pricing by the manufacturers the intensity of interbrand competition increases with the degree of differentiation between the supermarkets. When the supermarkets are more and more spatially differentiated the struggle between manufacturers and supermarkets dominates the competition between the manufacturers and results in lower wholesale prices and manufacturers profits.

Is Sustainable Development Compatible with Rawlsian Justice?

Does economic justice stymie economic development? This paper demonstrates that sustainability is compatible with Rawlsian intertemporal justice, even when considering human capital and natural resources. The methodology employed herein extends and amends previous works that (1) do not consider human capital or renewable resources, and (2) rely upon the application of standard Lagrangian methodology to a continuum of nonlinear constraints. This approach circumvents problems associated with earlier works by internalizing constraints and demonstrating two sufficient conditions which guarantee existence of a Rawlsian maximin path.

A Spatial Election with Common Values

This paper extends the Downsian-Hotelling model of electoral competition to allow for unobserved qualitative differences between candidates. I show that these underlying qualitative differences generate pure strategy Nash equilibria, even if policies are defined in a multidimensional space, and explain platform divergence from the median. Moreover, the extension gives content to a second (well-known) role elections play apart from bridging conflict: to reveal information about candidates.

Inefficiency in a Bilateral Trading Problem with Cooperative Investment

A bilateral trading model with investment is considered. In a “cooperative” investment version of the model, the seller's investment stochastically determines the buyer's valuation of the good. The value and cost of the good are realized only after the investment is made, and the investment level and the realization of the good's value and cost are private information. I show that, under these assumptions, no contract made before the investment can simultaneously induce efficient investment and efficient ex post trade when the buyer's type is continuously distributed. This inefficiency result contrasts sharply with the efficiency result under the standard “selfish” investment model, where the seller's investment stochastically determines the seller's cost.

Liars and Inspectors: Optimal Financial Contracts When Monitoring is Non-Observable

Within a costly state verification setting, we derive the optimal financial contract between an entrepreneur, a (potentially financing) supervisor and a pure investor when there is non-verifiable and non-contractible monitoring and limited liability. We show that diversion of cash flows to the entrepreneur arises as optimal behaviour and that to get the best reporting and monitoring incentives it is crucial to separate the financing from the monitoring role. In particular, higher efficiency can be achieved by ensuring that the entrepreneur and the supervisor do not collect any cash flows in low states. These should be paid to a third party instead, the pure investor, who in exchange provides funding. However, whether the pure investor entirely finances the project (and the supervisor purely acts as a monitor) or only provides partial finance (with the supervisor cofinancing) is immaterial, as the optimal financing of the project can justify a range of alternative financial structures.