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""An excellent book which should find wide use."" - Mathematics Reviews.In this classic volume, a noted economist and teacher has combined a modern text for graduate courses in mathematical economics with a valuable reference book of analytical economics for professional economists.Unique in its unified and careful presentation of a variety of techniques of economic analysis, the book is divided into two parts: chapters on mathematical economics (i.e. economic models analyzed primarily from the point of view of their mathematical properties) and appropriate mathematical reviews. To keep the e

Frontmatter -- Preface -- Contents -- Chapter 1: Introduction -- Chapter 2: A Framework for Analysis -- Chapter 3: Optimum Differentiation I: The Paradigm Case -- Chapter 4: Optimum Differentiation II: The Effect of Outside Goods -- Chapter 5: Market Demand -- Chapter 6: Perfect Monopolistic Competition -- Chapter 7: The Market and the Optimum -- Chapter 8: Imperfect Monopolistic Competition -- Chapter 9: Multiproduct Firms -- Chapter 10: Further Explorations -- Appendix A: The Compensating Function -- Appendix B: Some Special Properties of Elasticities -- References -- Index

The provision of public goods by voluntary contributions alone is feasible but the outcome is suboptimal. This paper examines the potential for government supplementation of the voluntary contribution system in order to retain the basic features but improve the outcome. it is shown that attempted supplementation through taxes or subsidies either has no effect or does actual harm. In general, a pure voluntary system or a complete government override is superior to a government-voluntary mix. The supporting propositions, both old and new, are derived from a simple unified treatment of the voluntary contribution system in a variety of contexts.