Nash Equilibrium and Robust Stability in Dynamic Games: A Small-Gain Perspective

This paper develops a novel methodology to study robust stability properties of Nash equilibrium points in dynamic games. Small-gain techniques in modern mathematical control theory are used for the first time to derive conditions guaranteeing uniqueness and global asymptotic stability of Nash equilibrium point for economic models described by functional difference equations. Specification to a Cournot oligopoly game is studied in detail to demonstrate the power of the proposed methodology

Redesigning the European Court of Human Rights: Embeddedness as a Deep Structural Principle of the European Human Rights Regime

The European Court of Human Rights (ECHR) is the crown jewel of the world’s most advanced international system for protecting civil and political liberties. In recent years, however, the ECHR has become a victim of its own success. The Court now faces a docket crisis of massive proportions, the consequence of the growing number of states subject to its jurisdiction, its favourable public reputation, its expansive interpretations of individual liberties, a distrust of domestic judiciaries in some countries, and entrenched human rights problems in others. In response to this growing backlog of individual complaints, the Council of Europe has, over the last five years, considered numerous proposals to restructure the European human rights regime and redesign the European Convention on Human Rights (ECHR). This article argues that these proposals should be understood not as ministerial changes in supranational judicial procedure, nor as resolving a debate over whether the ECHR should strive for individual or constitutional justice, but rather as raising more fundamental questions concerning the Court’s future identity. In particular, the article argues for recognition of ‘ embeddedness ’ in national legal systems as a deep structural principle of the ECHR, a principle that functions as a necessary counterpoint to the subsidiary doctrine that has animated the Convention since its founding. Embeddedness does not substitute ECHR rulings for the decisions of national parliaments or domestic courts. Rather, it requires the Council of Europe and the Court to bolster the mechanisms for governments to remedy human rights violations at home, obviating the need for individuals to seek supranational relief and restoring countries to a position in which the ECHR’s deference to national decision-makers is appropriate

Nash Equilibrium and Robust Stability in Dynamic Games: A Small-Gain Perspective

This paper develops a novel methodology to study robust stability properties of Nash equilibrium points in dynamic games. Small-gain techniques in modern mathematical control theory are used for the first time to derive conditions guaranteeing uniqueness and global asymptotic stability of Nash equilibrium point for economic models described by functional difference equations. Specification to a Cournot oligopoly game is studied in detail to demonstrate the power of the proposed methodology.Dynamic game; Cournot oligopoly; Nash equilibrium; Robust stability; Small gain