Does One Soros Make a Difference? A Theory of Currency Crises with Large and Small Traders

Do large investors increase the vulnerability of a country to speculative attacks in the foreign exchange markets? To address this issue, we build a model of currency crises where a single large investor and a continuum of small investors independently decide whether to attack a currency based on their private information about fundamentals. Even abstracting from signalling, the presence of the large investor does make all other traders more aggressive in their selling. Relative to the case in which there is no large investor, small investors attack the currency when fundamentals are stronger. Yet, the difference can be small, or non-existent, depending on the relative precision of private information of the small and large investors. Adding signalling makes the influence of the large trader on small traders' behaviour much stronger.     

The role of (non-)transparency in a currency crisis model

This paper extends the work by Morris and Shin (Am. Econom. Rev. 88 (1998) 587-597) where multiple equilibria in the self-fulfilling currency attack models can be reduced to a unique equilibrium when agents observe fundamentals privately with small errors. We find that under a more general specification with realistic parameters, noisy private observations are generally insufficient to prevent the multiplicity of equilibria. The pivotal role played by the transparency of fundamentals/policies in currency crisis is also examined. Surprisingly, transparency may trigger rather than eliminate currency crises when fundamentals are relatively healthy. Our results may be relevant to research in other coordination problems.     

Speculative attacks with unpredictable or unknown foreign exchange reserves

During a currency crisis, speculators usually do not know the value of a central bank's foreign exchange reserves. In this paper I show that modelling speculators as having imperfect knowledge of reserves enriches the predictions of the classical model of speculative attacks. With realistic lags in reserve reporting and costs to unsuccessful speculation, successful speculative attacks will involve a jump depreciation, unsuccessful attacks may occur, attacks may occur when fundamentals are improving, attacks may not be preceded by large increases in interest rates, and fixed exchange rates may be abandoned with no attack and no decline in the money supply. JEL Classification: F31     

Finitely repeated games with social preferences

A well-known result from the theory of finitely repeated games states that if the stage game has a unique equilibrium, then there is a unique subgame perfect equilibrium in the finitely repeated game in which the equilibrium of the stage game is being played in every period. Here I show that this result does in general not hold anymore if players have social preferences of the form frequently assumed in the recent literature, for example in the inequity aversion models of Fehr and Schmidt (Quartely Journal of Economics 114:817–868, 1999) or Bolton and Ockenfels (American Economic Review 100:166–193, 2000). In fact, repeating the unique stage game equilibrium may not be a subgame perfect equilibrium at all. This finding should have relevance for all experiments with repeated interaction, whether with fixed, random or perfect stranger matching.     

Predicting the Crises of the Greek Drachma

The paper investigates the role of fundamentals in the speculative episodes experienced by the Greek drachma during the 1990s, and examines whether the openness of the Greek economy has altered the role of fundamentals in the likelihood of a currency crisis. An interesting aspect of the empirical analysis is that the crises are related significantly to macroeconomic fundamentals of the Greek economy. The analysis shows that the openness of the Greek economy has introduced new elements and concerns in the predictability of speculative attacks on the drachma.     

Liquidity and the marginal value of information

We revisit Kyle’s (Econometrica 53:1315–1335, 1985) model of price formation in the presence of private information. We begin by using Back’s (Rev Financ Stud 5(3):387–409, 1992) approach, demonstrating that if standard assumptions are imposed, the model has a unique equilibrium solution and that the insider’s trading strategy has a martingale property. That in turn implies that the insider’s strategies are linear in total order flow. We also show that for arbitrary prior distributions, the insider’s trading strategy is uniquely determined by a Doob $h$ -transform that expresses the insider’s informational advantage. This allows us to reformulate the model so that Kyle’s liquidity parameter $\lambda $ is characterized by a Lagrange multiplier that is the marginal value or shadow price of information. Based on these findings, we can then interpret liquidity as the marginal value of information.     

When less information is good enough: experiments with global stag hunt games

There is mixed evidence on whether subjects coordinate on the efficient equilibrium in experimental stag hunt games under complete information. A design that generates an anomalously high level of coordination, Rankin et al. (Games Econo Behav 32(2):315–337, 2000), varies payoffs each period in repeated play rather than holding them constant. These payoff “perturbations” are eerily similar to those used to motivate the theory of global games, except the theory operates under incomplete information. Interestingly, that equilibrium selection concept is known to coincide with risk dominance, rather than payoff dominance. Thus, in theory, a small change in experimental design should produce a different equilibrium outcome. We examine this prediction in two treatments. In one, we use public signals to match Rankin et al. (2000)’s design; in the other, we use private signals to match the canonical example of global games theory. We find little difference between treatments, in both cases, subject play approaches payoff dominance. Our literature review reveals this result may have more to do with the idiosyncrasies of our complete information framework than the superiority of payoff dominance as an equilibrium selection principle.     

Are the treasures of game theory ambiguous?

Goeree and Holt (Am Econ Rev 91:1402?C1422, 2001) experimentally study a number of games. In each case, they initially find strong support for Nash equilibrium; however, by changing an apparently irrelevant parameter, they find results which contradict Nash equilibrium. In this paper, we study the five normal form games from Goeree and Holt (Am Econ Rev 91:1402?C1422, 2001). We argue that their results may be explained by the hypothesis that subjects view their opponents?? behaviour as ambiguous. Ambiguity-aversion causes players to avoid strategies, which give low out of equilibrium payoffs. Similarly, ambiguity preference can make strategies with high payoffs more attractive.     

Exchange market pressure: some caveats in empirical applications

The Exchange Market Pressure (EMP) index, developed by Eichengreen et al. (1994 Eichengreen, B, Rose, AK and Wyplosz, C. 1994. Speculative attacks on pegged exchange rates: an empirical exploration with special reference to the European monetary system, NBER Working Paper No. 4898  [Google Scholar]), is widely used as a tool to signal whether pressure on a currency is softened or warded off through monetary authorities’ interventions or, rather, a currency crisis has originated. In this article we show how the index is sensitive to some assumptions behind the aggregation of the information available (exchange rates, interest rates and reserves), especially when emerging countries are involved. Specifically, we address the way exchange rate variations are computed and the impact of different definitions of the reserves, and we question the constancy of the weights adopted. These issues compound with the choice of a fixed threshold when crisis episodes are identified through the EMP index. As a result, one should exert caution in subsequent econometric analyses where a dependent binary variable is built to identify crisis periods.     

Information revelation in competitive markets

This paper analyzes a market with multiple sellers and horizontally differentiated products. We investigate the sellers’ incentives to reveal product relevant information that affects the buyer’s private valuation. The main finding is that if the number of sellers is sufficiently large, there is a unique symmetric equilibrium with full information disclosure. Thus, unlike the results by Lewis and Sappington (Int Econ Rev 35:309–327, 1994) and Johnson and Myatt (Am Econ Rev 93:756–784, 2006) for monopoly, which state that the monopolist reveals either full information or no information, intense competition results in a single extreme with respect to information disclosure. We show that the market is always inefficient, but the magnitude of inefficiency converges to zero at a high rate as competition intensifies.     

On the location of public bads: strategy-proofness under two-dimensional single-dipped preferences

In a model with finitely many agents who have single-dipped Euclidean preferences on a polytope in the Euclidean plane, a rule assigns to each profile of reported dips a point of the polytope. A point $x$ of the polytope is called single-best if there is a point $y$ of the polytope such that $x$ is the unique point of the polytope at maximal distance from $y$ . It is proved that if the polytope does not have either exactly two single-best points or exactly four single-best points which form the vertices of a rectangle, then any Pareto optimal and strategy-proof rule is dictatorial. If the polytope has exactly two single-best points, then there are non-dictatorial strategy-proof and Pareto optimal rules, which can be described by committee voting (simple games) between the two single-best points. This also holds if there are exactly four single-best points which form the vertices of a rectangle, but in that case, we limit ourselves to describing an example of such a rule. The framework under consideration models situations where public bads such as garbage dumping grounds or nuclear plants have to be located within a confined region.     

Further results on essential Nash equilibria in normal-form games

A Nash equilibrium \(x\) of a normal-form game \(G\) is essential if any perturbation of \(G\) has an equilibrium close to \(x\). Using payoff perturbations, we identify a new collection of games containing a dense, residual subset of games whose Nash equilibria are all essential. This collection covers economic examples that cannot be handled by extant results and subsumes the sets of games considered in the literature.     

Bayesian games with unawareness and unawareness perfection

Applying unawareness belief structures introduced in Heifetz et al. (Games Econ Behav 77:100–121, 2013a), we develop Bayesian games with unawareness, define equilibrium, and prove existence. We show how equilibria are extended naturally from lower to higher awareness levels and restricted from higher to lower awareness levels. We apply Bayesian games with unawareness to investigate the robustness of equilibria to uncertainty about opponents’ awareness of actions. We show that a Nash equilibrium of a strategic game is robust to unawareness of actions if and only if it is not weakly dominated. Finally, we discuss the relationship between standard Bayesian games and Bayesian games with unawareness.     

Inflation and growth: new evidence from a dynamic panel threshold analysis

We introduce a dynamic panel threshold model to estimate inflation thresholds for long-term economic growth. Advancing on Hansen (J Econom 93:345–368, 1999) and Caner and Hansen (Econom Theory 20:813–843, 2004), our model allows the estimation of threshold effects with panel data even in case of endogenous regressors. The empirical analysis is based on a large panel-dataset including 124 countries. For industrialized countries, our results confirm the inflation targets of about 2% set by many central banks. For non-industrialized countries, we estimate that inflation rates exceeding 17% are associated with lower economic growth. Below this threshold, however, the correlation remains insignificant.     

Trembles in extensive games with ambiguity averse players

We introduce and analyze three definitions of equilibrium for finite extensive games with imperfect information and ambiguity averse players. In a setting where players’ preferences are represented by maxmin expected utility, as characterized in Gilboa and Schmeidler (J Math Econ 18(2):141–153, 1989), our definitions capture the intuition that players may consider the possibility of slight arbitrary mistakes. This generalizes the idea leading to trembling-hand perfect equilibrium as introduced in Selten (Int J Game Theory 4(1):25–55, 1975), by allowing for ambiguous trembles characterized by sets of distributions. We prove existence for two of our equilibrium notions and relate our definitions to standard equilibrium concepts with expected utility maximizing players. Our analysis shows that ambiguity aversion can lead to behavioral implications that are distinct from those attained under expected utility maximization, even if ambiguous beliefs only arise from the possibility of slight mistakes in the implementation of unambiguous strategies.     

Speculative attacks and defenses as wars of attrition

This paper extends the currency crisis models in Obstfeld [Obstfeld, M., 1994. The logic of currency crises. Cahiers Economiques et Monetaries], [Obstfeld, M., 1996. Models of currency crises with self-fulfilling features. European Economic Review 40, 1037–1047] by modeling both the government's side and speculators' side and introducing uncertainty about each party's payoff. We argue that a speculative attack (defense) can be well modeled as a war of attrition between the government and speculators under asymmetric information. We then solve for a pure strategy, weakly perfect, Bayesian rational expectation equilibrium in which each party's time until concession depends on her benefits from winning and her costs of fighting. Using this model, we are able to explain important facts of currency crises. First, the model shows that failed defenses (attacks) can be ex-ante rational for governments (speculators). Second, the model predicts systematic variations in the durations of defenses. Finally, we also show that currency crises can be self-fulfilling in the sense that there exist multiple rational expectation equilibria in our model.     

Competition, knowledge, and local government

This paper applies the insights of Austrian economics to an important issue in local political economy. Basic economic theory holds that greater competition produces superior outcomes in private goods markets. The same should be true in the ??markets?? for the output of local government. Brennan and Buchanan (1977, 1980) show that interjurisdictional competition may serve as a potential restraint on the monopoly powers of local Leviathan and Tiebout (1956) shows that it may help lead to the production of efficient quantities of local public goods. However, other potential virtues of competition in the market for local collective goods have been largely ignored. This paper explores those other virtues as well as the neoclassical theoretical foundations of the Tiebout (1956) model, upon which much of this literature is based. This has public policy implications for local governments, which have taken on increased importance given the recent global movement towards more decentralized government.     

Budget Deficits and Exchange-Rate Crises

This paper investigates currency crises in an optimizing general equilibrium model with overlapping generations. It is shown that a rise in government budget deficits financed by future taxes generates a decumulation of external assets, leading up to a speculative attack and forcing the monetary authorities to abandon the peg.     

PREDICTING CURRENCY CRISES WITH A NESTED LOGIT MODEL

Abstract.  This paper is the first to apply a nested logit model to measure the probabilities of speculative attacks and the probabilities of successful defences by the central banks. This model allows us to predict the probability not only of speculative attacks but also of successful defences, given attacks. It also provides a framework for analysing the degree to which different factors affect the likelihood of attacks and defences. We find strong evidence that external illiquidity and financial fragility are reliable predictors of currency crises. The results shed light on the validity of the three generations of currency crisis models.     

The Asian Currency Crises: Vulnerability, Contagion, or Unsustainability

The Asian currency crises have been introduced by many economists as evidence that almost any country could be vulnerable to speculative attacks and to contagion effects, even with apparently good economic fundamentals. These financial crises have also been interpreted by other economists as rational market reactions to the unsustainability of domestic macroeconomic policies or structural weaknesses. The objective of this paper is to evaluate the relative importance of macroeconomic unsustainability, financial vulnerability, and crisis contagion in a model that explains and predicts the Asian currency crises. Out-of-sample forecasts based on two-stage panel and logit regressions provide evidence of a pure contagion effect, which significantly worsened the crises. They also show that Indonesia was the only one of the six Asian nations examined (India, Indonesia, Malaysia, Philippines, South Korea, Thailand) that was in an unsustainable economic situation, and that the other five nations were only vulnerable to a currency crisis.