ENDOGENOUS FLUCTUATIONS IN TWO‐COUNTRY MODELS*

This paper investigates the interlinkage in the business cycles of large‐country economies in a free‐trade equilibrium. We consider a two‐country, two‐good, two‐factor general equilibrium model with Cobb‐Douglas technologies and linear preferences. We also assume decreasing returns to scale in the consumption good sector. We first identify the determinants of each country's global accumulation pattern in autarky equilibrium, and secondly we show how a country's business cycles may spread throughout the world once trade opens. We thus give capital intensity conditions for local and global stability of competitive equilibrium paths.     

DOES NEAR‐RATIONALITY MATTER IN FIRST‐ORDER APPROXIMATE SOLUTIONS? A PERTURBATION APPROACH

This paper studies first‐order approximate solutions to near‐rational dynamic equilibrium models. Under near‐rationality, agents' subjective beliefs are distorted away from rational expectations via a change of measure process which fulfills some regularity conditions. In most applications, the beliefs distortion process is also directly observed by (a subset of) the decision‐makers – e.g., ambiguity‐averse households or policy‐makers with a concern for robustness – and therefore included into their optimization problems. We investigate conditions for existence and local uniqueness of solutions under endogenous distortions, as well as the relation with their rational expectations counterparts. We show that linearly perturbed solutions may well be affected by the presence of distorted beliefs, depending on the underlying model economy. In particular, while directly affecting first‐order decision rules, near‐rationality may also induce failure of the certainty equivalence principle. Moreover, the martingale representation of distorted beliefs might prove non‐unique, pointing to a subtle form of equilibrium indeterminacy.     

Multiunit Pay‐Your‐Bid Auction with One‐Dimensional Multiunit Demands*

An arbitrary number of units of a good is sold to two bidders through a discriminatory auction. The bidders are homogeneous ex ante and their demand functions are two‐step functions that depend on a single parameter. We characterize the symmetric Bayesian equilibrium and prove its existence and uniqueness. We compare this equilibrium with the equilibrium of the multiunit Vickrey auction and with the equilibria of the single‐unit first price and second price auctions. We examine the consequences of bundling all units into one package. We study the impacts that variations of the “relative” supply have on the equilibrium, on the bidders' average payoffs per unit, and on the efficiency of the equilibrium allocation.     

Exclusion via Non‐Exclusive Contracts

We establish that non‐linear vertical contracts can allow an incumbent to exclude an upstream rival in a setting that does not rely on the exclusivity of the incumbent's contracts with downstream firms or any limits on distribution channels available to the incumbent or rival. The optimal contract we describe is a three‐part quantity discounting contract that involves the payment of an allowance to a downstream distributor and a marginal wholesale price below the incumbent's marginal cost for sufficiently large quantities. The optimal contract is robust to allowing parties to renegotiate contracts in case of entry.     

Elections,Information, and State‐Dependent Candidate Quality

The quality of political candidates often depends on the current state of the world, for example because their personal characteristics are more valuable in some situations than in others. We explore the implications of state‐dependent candidate quality in a model of electoral competition where voters are uncertain about the state. Candidates are fully informed and completely office‐motivated. With a reasonable restriction on voters' beliefs, an equilibrium where candidates' positions reveal the true state does not exist. Nonrevealing equilibria always exist. Some main findings are that candidates' positions can diverge more in equilibrium when they differ more in state‐dependent quality and when the electorate is less well informed.     

SEQUENTIAL TWO‐PLAYER GAMES WITH AMBIGUITY*

If players' beliefs are strictly nonadditive, the Dempster–Shafer updating rule can be used to define beliefs off the equilibrium path. We define an equilibrium concept in sequential two‐person games where players update their beliefs with the Dempster–Shafer updating rule. We show that in the limit as uncertainty tends to zero, our equilibrium approximates Bayesian Nash equilibrium. We argue that our equilibrium can be used to define a refinement of Bayesian Nash equilibrium by imposing context‐dependent constraints on beliefs under uncertainty.     

Equilibrium opacity in ultimatum‐offer bargaining

We consider ultimatum bargaining between a seller and a buyer of an asset. They know each other's valuation of the asset. Both can defer their decisions to delegates. These delegates have opaque preferences. Seller and buyer choose the opacity of their delegate. For the seller's delegate this choice is restricted to a random reservation price drawn from the set of symmetric two‐point distributions around the seller's true reservation price. The opacity choice of the buyer's delegate is restricted to a random willingness‐to‐pay drawn from the set of symmetric two‐point distribution around the buyer's true willingness‐to‐pay. We characterize the set of pure‐strategy equilibria in their delegation choices. Multiple equilibria arise. Except for two corner solutions, both players will exploit the strategy of opacity. A large set of efficient equilibria exist. For these, opacity choices do not reduce the probability of transacting, but benefit the buyer compared with the no‐delegation equilibrium. We also study the robustness of the results with respect to the player's ability to also resort to a tougher delegate in addition to the opacity choice.     

MONEY,SOCIAL STATUS AND ENDOGENOUS GROWTH IN A GENERALIZED CASH‐IN‐ADVANCE MODEL

This paper analytically examines the equilibrium growth effect of money/inflation in a standard one‐sector AK model of endogenous growth with the most generalized cash‐in‐advance constraint and relative wealth‐induced preferences for social status. We show that on the economy's unique balanced growth equilibrium path, the sign of the correlation between money and output growth depends crucially on: (i) the intertemporal elasticity of substitution in consumption; and (ii) the liquidity‐constrained ratio of consumption to investment expenditure. Moreover, our model economy always exhibits a positive output–growth effect in response to changes of the strength for social status. We also undertake numerical experiments to assess the quantitative importance of our theoretical results under an empirically plausible set of parameters.     

MARKET‐BASED INCENTIVES

In this article, we study market‐induced, external incentives similar to career concerns jointly with standard, contractual incentives linking compensation to performance. We consider a dynamic principal–agent problem in which the agent's outside option is determined endogenously in a competitive labor market. In equilibrium, strong performance increases the agent's market value. When this value becomes sufficiently high, the threat of the agent quitting forces the principal to increase the agent's compensation. The prospect of obtaining this raise gives the agent an incentive to exert effort, which reduces the need for standard incentives. In fact, whenever the agent's option to quit is sufficiently close to being “in the money,” the market‐induced incentive eliminates the need for standard incentives altogether: Compensation becomes completely insensitive to current performance.     

A spillover‐based theory of credentialism

I propose a model in which credentials, such as diplomas, are instrumentally valuable to workers. The model avoids an important criticism of standard job market signalling models by tying a worker's wage to their output. A worker's productivity is influenced by the skills of their co‐workers, where such skills arise from an ability‐augmenting investment that is made prior to matching with co‐workers. Credentials allow workers to demonstrate their investment to the labour market, thereby allowing them to match with high‐skill co‐workers in equilibrium. Despite the positive externality associated with a worker's investment, I show how overinvestment is pervasive in equilibrium.     

A Core‐Equilibrium Convergence in a Public Goods Economy

This paper shows a core‐equilibrium convergence in a public goods economy where consumers' preferences display warm glow effects. We demonstrate that if each consumer becomes satiated to other consumers' provision, then as the economy grows large the core shrinks to the set of Edgeworth allocations. Moreover, we show that an Edgeworth allocation can be decentralized as a warm glow equilibrium.     

Tullock's Puzzle in Pay‐and‐Play Lobbying

We explain Tullock's puzzle of small payments from special interests to policy‐makers by the hold‐up problem between the two parties. We construct a simple lobbying environment where an uninformed policy‐maker is a price‐setter who sells access to two opposed and privately informed lobbyists. The key equilibrium property is “the curse of the ex ante favored lobbyist”; the lobbyist proposing a project with the higher expected public value ends up worse off than the lobbyist proposing a project with the lower expected public value. In the absence of contribution caps, the ex ante favored lobbyist strategically devalues her project, and the resulting competitive devaluations destroy private values, revenues, as well as correlated public values. Ex ante, the policy‐maker benefits from a binding contribution cap protects the ex ante favored lobbyist, eliminates competitive devaluations, and thus remedies the hold‐up problem.     

Round‐Robin Tournaments with a Dominant Player

We analyze the subgame perfect equilibrium of the round‐robin tournament with one strong (dominant) and two weak players, and we compare this tournament and the one‐stage contest with respect to the players' expected payoffs, expected total effort, and their probabilities of winning. We find that if the contest designer's goal is to maximize the players' expected total effort, then – if the asymmetry between the players is relatively low – the one‐stage contest should be used. However, if the asymmetry is relatively high, then the round‐robin tournament should be used.     

AN OVER‐THE‐COUNTER APPROACH TO THE FOREX MARKET

The foreign exchange (FOREX) market is an over‐the‐counter market characterized by intermediation and significant bid–ask spreads. However, most of the existing international macroeconomics literature models the FOREX as a standard Walrasian market. This article constructs a dynamic general equilibrium model of intermediation in the FOREX market. We use our framework to compute standard measures of FOREX liquidity, such as bid–ask spreads and trade volume, and study how they are affected by macroeconomic fundamentals and market microstructure. We also study how FOREX market microstructure affects the volume of international trade and, consequently, welfare. Our empirical exercise offers support to the models' main predictions.     

Dynamic Multi‐Activity Contests*

We develop a model of dynamic multi‐activity contests. Players simultaneously choose efforts in long‐run activities, observe each other's efforts in these activities, and then simultaneously choose efforts in short‐run activities. A player's long‐run and short‐run efforts complement each other in determining the player's probability of winning. We compare the outcomes of this two‐stage model to those of the corresponding model in which players choose efforts in all activities simultaneously. Interestingly, effort expenditures are always lower in the sequential multi‐activity contest than in the simultaneous multi‐activity contest. The implications of this result for the organization of military, litigation, innovation, academic, and sporting contests are highlighted.     

Self‐regulation through Goal Setting*

Goals are an important motivator. But little is known about why and how people set them. We address this issue in a model based on two stylized facts. First, goals serve as reference points for performance. Second, present‐biased preferences create self‐control problems. We show the power and limits of self‐regulation through goals. Goals increase an individual's motivation—but only up to a certain point. Furthermore, they are painful self‐disciplining devices. Thus, greater self‐control problems may result in tougher goals; but for a severe present bias goals either lack a motivating force, or are too painful to be accepted.     

A NON‐PARAMETRIC MEASURE OF POVERTY ELASTICITY

We estimate the growth elasticity of poverty (GEP) using recently developed non‐parametric panel methods and the most up‐to‐date and extensive poverty data from the World Bank, which exceeds 500 observations in size and represents more than 96 percent of the developing world's population. Unlike previous studies which rely on parametric models, we employ a non‐parametric approach which captures the non‐linearity in the relationship between growth, inequality, and poverty. We find that the growth elasticity of poverty is higher for countries with fairly equal income distributions, and declines in nations with greater income disparities. Moreover, when controlling for differences in estimation technique, we find that the reported values of the GEP in the literature (based on the World Bank's now‐defunct 1993‐PPP based poverty data) are systematically larger in magnitude than estimates based on the latest 2005‐PPP based data.     

OPTIMAL ENFORCEMENT AND ANTI‐COPYING STRATEGIES TO COUNTER COPYRIGHT INFRINGEMENT*

In this paper we study the mix of anti‐copying investment strategies by an incumbent firm and the enforcement policies of a government that consists of monitoring and penalizing the copier to address the issue of commercial piracy. If monitoring is socially optimal then the subgame perfect equilibrium anti‐copying investment does not guarantee the prevention of copying. If not monitoring is socially optimal then the subgame perfect equilibrium anti‐copying investment may guarantee the prevention of copying.     

ENHANCING EFFORT SUPPLY WITH PRIZE‐AUGMENTING ENTRY FEES: THEORY AND EXPERIMENTS

Entry fees are widely observed in contests. We study the effect of a prize‐augmenting entry fee on expected total effort in an all‐pay auction setting where the contestants' abilities are private information. An entry fee reduces equilibrium entry but can enhance the entrants' effort supply. Our theoretical model demonstrates that the optimal entry fee is strictly positive and finite. In a laboratory experiment, we empirically test the effect of entry fees on effort supply. Our results provide strong support for the notion that a principal can elicit higher effort using an appropriately set entry fee to augment the prize purse.     

NON‐SCALE EFFECTS OF INTERNATIONAL TECHNOLOGICAL‐KNOWLEDGE DIFFUSION ON SOUTHERN GROWTH AND WAGES

We develop a dynamic, general equilibrium non‐scale endogenous growth model of North–South technological‐knowledge diffusion by imitation. Countries differ in levels of exogenous productivity, human‐capital levels and R&D capacity. Growth is driven by Northern innovative R&D and the South converges towards the North. Growth is also driven by human‐capital accumulation, scale effects are removed, imitation is only feasible once a threshold distance to the frontier has been attained and is dependent on the South's relative level of employed human capital and on domestic policies promoting R&D. Imitation promotes partial convergence of inter‐country wages and governs the path of intra‐South wage inequality.