Investigation into an explosion that occurred during a welding operation

Isolation procedures and monitoring techniques for the presence of explosive mixtures proved to be inadequate to prevent an explosion which was initiated by an unexpected ignition source.     

AN ARBITRAGE INTERPRETATION OF CLASSICAL OPTIMIZATION

The paper mathematically develops the heuristic idea that the first-order necessary conditions for a classical constrained optimization problem are equivalent to a market being arbitrage-free - with the Lagrange multipliers being the arbitrage-free market prices. The arbitrage notions start with the multiplicative Kirchhoff's Voltage Law and then generalize to matrix algebra. The basic result shows the normalized arbitrage-free «market prices» (the Lagrange multipliers) resulting from a classical constrained optimizaton problem can always be obtained as a ratio of cofactors. The machinery also gives an economic interpretation of Cramer's Rule as a competitive equilibrium condition.     

A Test of Consumer Awareness for Adults

The purpose of this study was to develop an instrument to measure adult awareness of consumer product/service information sources, consumer protection laws and channels of recourse. The process included identification of prevalent consumer problems, development of test items based on the identified problems, and assessments of the content validity and the reliability of the instrument. The process of construct validity was initiated by developing and testing hypotheses concerning the relationships between scores on the instrument and selected socio-economic characteristics of consumers. Low consumer awareness scores were predominant, supporting the need for consumer education for adults.     

The Benefit Function Approach to Modeling Price-Dependent Demand Systems: An Application of Duality Theory

In this article, we advocate more extensive use of the benefit function in specifying price-dependent or inverse demand models. We demonstrate how duality theory may be used to establish the interrelationships between the Marshallian (or Hicksian) inverse demands and Luenberger's adjusted price functions, allowing estimable inverse demands to be derived directly from a benefit function. We estimate two systems of inverse demands for Japanese quarterly fish consumption. Results indicate that the procedures and methods employed here appear promising, and may prove beneficial for quantity and welfare analysis when modeling systems of inverse demand functions.     

Economic development lessons from and for North American Indian economies*

This paper reviews the literature on economic development as it relates to indigenous people in the United States and Canada, and focuses on how institutions affect economic development of reservation and reserve economies. Evidence shows that strong property rights to reservation and reserve land and natural resources, whether communal or individual, are and always have been important determinants of productivity. Political and legal institutions that are perceived as stable and predictable to tribal members and to non‐Natives also improve economic opportunities for indigenous people living on reservations and reserves. Research reviewed here also shows that culture and acculturation are important in the development process. Although our emphasis is on North America, the findings are applicable to indigenous people in other parts of the world and shed light on growth questions that loom large for developing countries around the world.