Identification of individual demands from market data under uncertainty

We show that, even under incomplete markets, the equilibrium manifold identifies individual demands everywhere in their domains. Under partial observation of the manifold, we determine maximal subsets of the domains on which identification holds. For this, we assume conditions of smoothness, interiority and regularity. It is crucial that there be date-zero consumption. As a by-product, we develop some duality theory under incomplete markets

The Third Moment in Law and Development Theory and the Emergence of a New Critical Practice

The study of the relationship between law and economic development goes back at least to the nineteenth century. It is a question that attracted the attention of classical thinkers like Marx and Weber. And there were some early efforts to craft policy in this area; for example, under the Raj, some English Utilitarians tried to put Jeremy Bentham’s ideas about law and economic progress into practice in India. But it was only after World War II that systematic and organized efforts to reform legal systems became part of the practice of international development agencies. Initially, development agencies turned to law as an instrument for state policy aimed at generating economic growth. Starting in the 1980s, interest in the role of law in economic development grew, but it was an interest in law more as a framework for market activity than as an instrument of state power. This book argues that, starting in the mid-1990s, development practitioners approached law in a fundamentally new way – as a correction for market failures and as a constitutive part of “development” itself. As a result, “the rule of law” has become significant not only as a tool of development policy, but as an objective for development policy in its own right. This book charts the history of this growing interest in the legal field, explores the shifting rationales behind development policy initiatives, and explores in detail the newest – and most surprising – of these rationales. To do that, we trace the history of a body of ideas about law and economic development that have been employed not just by academics but also by development practitioners responsible for allocating funds and designing projects. In this introduction, we refer to that body of ideas as law and development doctrine. Although this doctrine has academic roots in economic and legal theory, it is a practical working tool of development agencies

Noise enhanced spontaneous chaos in semiconductor superlattices at room temperature

Physical systems exhibiting fast spontaneous chaotic oscillations are used to generate high-quality true random sequences in random number generators. The concept of using fast practical entropy sources to produce true random sequences is crucial to make storage and transfer of data more secure at very high speeds. While the first high-speed devices were chaotic semiconductor lasers, the discovery of spontaneous chaos in semiconductor superlattices at room temperature provides a valuable nanotechnology alternative. Spontaneous chaos was observed in 1996 experiments at temperatures below liquid nitrogen. Here we show spontaneous chaos at room temperature appears in idealized superlattices for voltage ranges where sharp transitions between different oscillation modes occur. Internal and external noises broaden these voltage ranges and enhance the sensitivity to initial conditions in the superlattice snail-shaped chaotic attractor thereby rendering spontaneous chaos more robust.Comment: 6 pages, 4 figures, revte

Backward error analysis for multisymplectic discretizations of Hamiltonian PDEs

Several recently developed multisymplectic schemes for Hamiltonian PDEs have been shown to preserve associated local conservation laws and constraints very well in long time numerical simulations. Backward error analysis for PDEs, or the method of modified equations, is a useful technique for studying the qualitative behavior of a discretization and provides insight into the preservation properties of the scheme. In this paper we initiate a backward error analysis for PDE discretizations, in particular of multisymplectic box schemes for the nonlinear Schrodinger equation. We show that the associated modified differential equations are also multisymplectic and derive the modified conservation laws which are satisfied to higher order by the numerical solution. Higher order preservation of the modified local conservation laws is verified numerically.Comment: 12 pages, 6 figures, accepted Math. and Comp. Simul., May 200

COINTEGRATION TESTS BASED ON RECORD COUNTING STATISTICS

This paper presents of number of cointegration tests that exploit the statistical properties of the records from the original time series variables. We prove their consistency and obtain their asymptotic null distributions. Among the advantages of this novel methodology, the new tests are invariant with respect to the individual series’ variances and also with respect to monotonic transformations applied to these series. In addition, these tests are robust against the presence of level breaks as long as the number of these breaks increases slowly enough with the sample size. Finally, an alternative scheme is proposed to deal with additive outliers, which prevent them from causing size distortions.

Identification of preferences from market data

We offer a new proof that the equilibrium manifold (under complete markets) identifies individual demands globally. Moreover, under observation of only a subset of the equilibrium manifold, we find domains on which aggregate and individual demands are identifiable. Our argument avoids the assumption of Balasko (2004) requiring the observation of the complete manifold