Peter Berck

This title was first published in 2003. Economists have had increasing success in arguing the merits of market-based approaches to environmental problems. By making polluting expensive, market-based approaches provide polluters with incentives to clean up, rather than mandates to stop polluting. These approaches include pollution taxes, transferable emissions permits and subsidies for pollution abatement. The purpose of this volume is to explore the situations where Command and Control (CAC) may not be all bad, and in fact might even have some advantages over market-based instruments (MBI).

This title was first published in 2003. Economists have had increasing success in arguing the merits of market-based approaches to environmental problems. By making polluting expensive, market-based approaches provide polluters with incentives to clean up, rather than mandates to stop polluting. These approaches include pollution taxes, transferable emissions permits and subsidies for pollution abatement. The purpose of this volume is to explore the situations where Command and Control (CAC) may not be all bad, and in fact might even have some advantages over market-based instruments (MBI).

The fourth edition is augmented by more than 70 new formulas. In particular, we have included some key concepts and results from trade theory, games of incomplete information and combinatorics. In addition there are scattered additions of new formulas in many chapters. Again we are indebted to a number of people who has suggested corrections, - provements and new formulas. In particular, we would like to thank Jens-Henrik Madsen, Larry Karp, Harald Goldstein, and Geir Asheim. In a reference book, errors are particularly destructive. We hope that readers who ?nd our remaining errors will call them to our attention so that we may purge them from future editions. Oslo and Berkeley, May 2005 Knut Sydsaeter, Arne Strom, Peter Berck From the preface to the third edition Thepracticeofeconomicsrequiresawide-rangingknowledgeofformulasfrommat- matics, statistics, andmathematicaleconomics. Withthisvolumewehopetopresent a formulary tailored to the needs of students and working professionals in economics. In addition to a selection of mathematical and statistical formulas often used by economists, this volume contains many purely economic results and theorems. It containsjusttheformulasandtheminimumcommentaryneededtorelearnthema- ematics involved. We have endeavored to state theorems at the level of generality economists might ?nd useful. In contrast to the economic maxim, "everything is twice more continuously di?erentiable than it needs to be", we have usually listed theregularityconditionsfortheoremstobetrue. Wehopethatwehaveachieveda level of explication that is accurate and useful without being pedantic.

I fjerde utgave er det kommet til mer enn 70 nye formler og resultater. Spesielt er det tatt med noen sentrale begreper og resultater fra handelsteori, spill med ufullstendig informasjon og kombinatorikk.

The fourth edition is augmented by more than 70 new formulas. In particular, we have included some key concepts and results from trade theory, games of incomplete information and combinatorics. In addition there are scattered additions of new formulas in many chapters. Again we are indebted to a number of people who has suggested corrections, - provements and new formulas. In particular, we would like to thank Jens-Henrik Madsen, Larry Karp, Harald Goldstein, and Geir Asheim. In a reference book, errors are particularly destructive. We hope that readers who ?nd our remaining errors will call them to our attention so that we may purge them from future editions. Oslo and Berkeley, May 2005 Knut Sydsaeter, Arne Strom, Peter Berck From the preface to the third edition Thepracticeofeconomicsrequiresawide-rangingknowledgeofformulasfrommat- matics, statistics, andmathematicaleconomics. Withthisvolumewehopetopresent a formulary tailored to the needs of students and working professionals in economics. In addition to a selection of mathematical and statistical formulas often used by economists, this volume contains many purely economic results and theorems. It containsjusttheformulasandtheminimumcommentaryneededtorelearnthema- ematics involved. We have endeavored to state theorems at the level of generality economists might ?nd useful. In contrast to the economic maxim, "everything is twice more continuously di?erentiable than it needs to be", we have usually listed theregularityconditionsfortheoremstobetrue. Wehopethatwehaveachieveda level of explication that is accurate and useful without being pedantic.