Convergence of Probability Measures. By P. Billingsley. Chichester, Sussex, Wiley, 1968. xii, 253 p. 9 1/4“. 117s.

Convergence of Probability Measures

1. Basic convexity 2. Boundary structure 3. Minkowski addition 4. Curvature measure and quermass integrals 5. Mixed volumes 6. Inequalities for mixed volumes 7. Selected applications Appendix.

/pdf/convex-bodies-the-brunn-minkowski-theory-3raynvod45.pdf

Convex bodies : the Brunn-Minkowski theory

Policy makers view public sector-sponsored employment and training programs and other active labor market policies as tools for integrating the unemployed and economically disadvantaged into the work force. Few public sector programs have received such intensive scrutiny, and been subjected to so many different evaluation strategies. This chapter examines the impacts of active labor market policies, such as job training, job search assistance, and job subsidies, and the methods used to evaluate their effectiveness. Previous evaluations of policies in OECD countries indicate that these programs usually have at best a modest impact on participants’ labor market prospects. But at the same time, they also indicate that there is considerable heterogeneity in the impact of these programs. For some groups, a compelling case can be made that these policies generate high rates of return, while for other groups these policies have had no impact and may have been harmful. Our discussion of the methods used to evaluate these policies has more general interest. We believe that the same issues arise generally in the social sciences and are no easier to address elsewhere. As a result, a major focus of this chapter is on the methodological lessons learned from evaluating these programs. One of the most important of these lessons is that there is no inherent method of choice for conducting program evaluations. The choice between experimental and non-experimental methods or among alternative econometric estimators should be guided by the underlying economic models, the available data, and the questions being addressed. Too much emphasis has been placed on formulating alternative econometric methods for correcting for selection bias and too little given to the quality of the underlying data. Although it is expensive, obtaining better data is the only way to solve the evaluation problem in a convincing way. However, better data are not synonymous with social experiments. © 1999 Elsevier Science B.V. All rights reserved.

The Economics and Econometrics of Active Labor Market Programs

http://www.long-memory.com/volatility/Baillie1996.pdf

Long memory processes and fractional integration in econometrics

Over the past decade, the field of finite-dimensional variational inequality and complementarity problems has seen a rapid development in its theory of existence, uniqueness and sensitivity of solution(s), in the theory of algorithms, and in the application of these techniques to transportation planning, regional science, socio-economic analysis, energy modeling, and game theory. This paper provides a state-of-the-art review of these developments as well as a summary of some open research topics in this growing field.

Finite-dimensional variational inequality and nonlinear complementarity problems: a survey of theory, algorithms and applications

Core and Equilibria of a Large Economy.

This volume includes papers delivered at the Fourth World Congress of the Econometric Society. It will interest economic theorists and econometricians working in universities, government, and business and financial institutions.

Advances in Econometrics

This monograph presents a new theory of market demand, the principal aim of which is to identify the conditions under which the Law of Demand holds true. The author argues that the Law of Demand is due mainly to the "heterogeneity" of the population of households. In his view, "rationality" of individual behaviour plays only a minor role. While the traditional approach to the theory of market demand is to analyze the question: to what extent are the postulated properties of individual behaviour preserved by going from individual to market demand?, this book asks the question: which properties of the market demand function are created by the aggregation process? Two hypotheses on the population of households play a key role in Hildenbrand's thinking. The first is the "increasing dispersion" and the second the "increasing spread" of households' demand. For a positive theory of market demand, according to Hildenbrand, it is more important that the hypotheses are well supported by empirical evidence. His claims are based on a nonparametric statistical data analysis of the UK Family Expenditure Survey and the French Enquete Budget de Famille.

Market Demand: Theory and Empirical Evidence

Demand, Supply and the Market ______________________________________ Learning Outcomes Upon completion of this chapter, you will be able to: 1. Explain the law of demand: how the price of a good affects the quantity demanded 2. Identify what other factors affect demand (the non-price determinants of demand) 3. Explain the law of supply: how the price of a good affects the quantity supplied 4. Identify other factors that affect supply (the non-price determinants of supply) 5. Show how to derive the demand and supply curves from demand and supply tables 6. Demonstrate how supply and demand interact to determine equilibrium price and quantity of goods 7. Explain situations of market disequilibria and show how the market reaches new equilibrium 8. Show how Government interventions in the market (such as price supports or price ceilings) affect the operations of markets.

On the "Law of Demand"

General Equilibrium with Rational Expectations (B. Allen). 2. Notions of Core Convergence (R.M. Anderson). 3. The Class of Aggregate Excess Demand Functions (Y. Balasko). 4. On the Existence of Bertrand-Edgeworth Equilibria with Differentiated Commodities (J.-P. Benassy). 5. Stationary Monetary Equilibrium with a Continuum of Independently Fluctuating Consumers (T.F. Bewley). 6. Equilibrium and Optimality in a Sequence of Markets with Transactions Costs (L.E. Blume). 7. Existence of Equilibria with Price Regulation (V. Bohm). 8. Topological Complexity of Manifolds of Preferences (G. Chichilnisky). 9. Surplus Maximization and Pareto Optimality (E. Dierker and J. Lenninghaus). 10. Non-existence of Cournot-Walras Equilibrium in a General Equilibrium Model with Two Oligopolists (H. Dierker and B. Grodal). 11. Moral Expectation with Moral Hazard (J.H. Dreze). 12. Hedging of Non-redundant Contingent Claims (H. Follmer and D. Sondermann). 13. Periodic and Aperiodic Behaviour in Discrete One-dimensional Dynamical Systems (J.-M. Grandmont). 14. On the Mean Income Effect: A Data Analysis of the U.K. Family Expenditure Survey (K. Hildenbrand and W. Hildenbrand). 15. The Effectivity Function Approach to the Core (T. Ichiishi). 16. Engel Curves, Marginal Utility of Income, and Concavifiable Preferences (Y. Kannai). 17. Valuation Equilibrium and Pareto Optimum Revisited (A. Mas-Colell). 18. Non-cooperative Marshallian-like Foundations for General Equilibrium Theory (W. Novshek and H. Sonnenschein). 19. An Allocation Rule Using Linear Excess Demand Functions (M. Okuno and D. Schmeidler). 20. Can Bounded Rationality Resolve the Prisoners' Dilemma ? (R. Radner). 21. Notes on the Core of a Productive Economy (H.E. Scarf). 22. Exchange Equilibrium (K. Vind).

Werner Hildenbrand

Papers

Core and Equilibria of a Large Economy.

Advances in Econometrics

Market Demand: Theory and Empirical Evidence

On the "Law of Demand"

Contributions to mathematical economics in honor of Gérard Debreu