Easy decision-Diffie-Hellman groups

The decision-Diffie-Hellman problem (DDH) is a central computational problem in cryptography. It is known that the Weil and Tate pairings can be used to solve many DDH problems on elliptic curves. Distortion maps are an important tool for solving DDH problems using pairings and it is known that distortion maps exist for all supersingular elliptic curves. We present an algorithm to construct suitable distortion maps. The algorithm is efficient on the curves usable in practice, and hence all DDH problems on these curves are easy. We also discuss the issue of which DDH problems on ordinary curves are easy

"The Brazilian Swindle and The Larger International Monetary Problem"

The IMF has offered Brazil a $30 billion loan, most of it reserved for next year, on condition that the country continue to run a large primary surplus in the government budget. In this way the Fund maintains a strong arm over Brazil's next government. Any significant move toward fiscal expansion would trigger revocation of the promised loan, followed by capital market chaos. Or so one is led to suppose.

"Is the New Economy Rewriting the Rules?"

Full employment without inflation can continue--with the right leadership, prudent policy changes to manage the dangers, and cooperation from all branches of the government.

"The Great Crisis and the American Response"

The global abatement of the inflationary climate of the past three decades, combined with continuing financial instability, helped to promote the worldwide holding of U.S. dollar reserves as a cushion against financial instability outside the United States, with the result that, for the United States itself, this was a period of remarkable price stability and reasonably stable economic expansion. For the most part, the economics profession viewed these events as a story of central bank credibility, fiscal probity, and accelerating technological change coupled with changing demands on the labor market, creating a model of self-stabilizing free markets and hands-off policy makers motivated by doing the right thing - what Senior Scholar James K. Galbraith calls "the grand illusion of the Great Moderation." A dissenting line of criticism focused on the stagnation of real wages, the growth of deficits in trade and the current account, and the search for new markets. This view implied that a crisis would occur, but that it would result from a rejection of U.S. financial hegemony and a crash of the dollar, with the euro and the European Union (EU) the ostensible beneficiaries. A third line of argument was articulated by two figures with substantially different perspectives on the Keynesian tradition: Wynne Godley and Hyman P. Minsky. Galbraith discusses the approaches of these Levy distinguished scholars, including Godley’s correlation of government surpluses and private debt accumulation and Minsky's financial stability hypothesis, as well as their influence on the responses of the larger economic community. Galbraith himself argues the fundamental illusion of viewing the U.S. economy through the free-market prism of deregulation, privatization, and a benevolent government operating mainly through monetary stabilization. The real sources of American economic power, he says, lie with those who manage and control the public-private sectors - especially the public institutions in those sectors - and who often have a political agenda in hand. Galbraith calls this the predator state: a state that is not intent upon restructuring the rules in any idealistic way but upon using the existing institutions as a device for political patronage on a grand scale. And it is closely aligned with deregulation.

"What is the American Model Really About? Soft Budgets and the Keynesian Devolution "

The "American Model" serves as a point of reference in discussions of economic policy around the world especially in Europe; many claim that the American version of the free market represents an ideal type-it is the highest form of capitalism. The author argues, however, that the United States has relied heavily on government intervention in housing, health care, pensions, and education. Not only have these programs been largely successful and popular, they also provide a Keynesian stimulus to spending that help account for the strength of the U.S. economy. Now that the U.S. is in a weak, jobless recovery, the key to restoring growth may lie in the kinds of governmental programs that have helped to sustain and stabilize the U.S. economy in the past.

Presidential War Powers as a Two-Level Dynamic: International Law, Domestic Law, and Practice-Based Legal Change

There is a rich literature on the circumstances under which the United Nations Charter or specific Security Council resolutions authorize nations to use force abroad, and there is a rich literature on the circumstances under which the U.S. Constitution and statutory law allows the President to use force abroad. These are largely separate areas of scholarship, addressing what are generally perceived to be two distinct levels of legal doctrine. This Article, by contrast, considers these two levels of doctrine together as they relate to the United States. In doing so, it makes three main contributions. First, it demonstrates striking parallels between the structure of the international and domestic legal regimes governing the use of force, and it explains how this structure tends to incentivize unilateral action. Second, it theorizes that these two bodies of law are interconnected in previously overlooked ways, such that how the executive branch interprets law at one level is informed by the legal context at the other level. Third, it documents these interactions over time for several important components of the law on the use of force and shows that this two-level dynamic has played a significant role in furthering the practice-based expansion of unilateral war powers. The Article concludes by arguing that both scholars and policy-makers seeking to shape the law on the use of force need to take better account of this dynamic

"Dangerous Metaphor: The Fiction of the Labor Market, Unemployment, Inflation, and the Job Structure"

The concept of a labor market, responding to familiar underpinnings of supply and demand, completely colors thought on the relationship between employment, wages, and inflation, according to James K. Galbraith. However, he asserts, wages are determined not by such market forces, but by what he calls the job structure--a complex set of status and pay relationships involving individual qualifications, job characteristics, and industry patterns. What is the meaning of the job structure for policy? Notions of natural rates of unemployment and inflationary barriers to full employment fade away. Supply-side measures can no longer been seen as adequate to deal with problems of unemployment and inequality. Questions of distribution of income and adjustment of the wage structure are returned to the political context. The active pursuit of full employment is returned to the list of respectable, and essential, policy goals.