This book contains invited essays in memory of Leonid Hurwicz spanning a large area of economic, social and other sciences where the implementation or enforcement of institutions and rules requires the design of effective mechanisms. The foundations of these articles are set by social choice concepts; game theory; Nash, Bayesian and Walrasian equilibria; complete and incomplete information. Besides in-depth treatments of well-established parts of mechanism and implementation theory, contributions on novel directions deal, for instance, with a quantum approach to game and decision making under uncertainty; digitalization; and the design of block chain for trading. The outstanding competence and reputation of the authors reflect the appreciation of the fundamental contributions and the lasting admiration of the personality and the work of Leonid Hurwicz.

Back in the good old days on the fourth floor of the Altbau of Bonn's Ju ridicum, Werner Hildenbrand put an end to a debate about a festschrift in honor of an economist on the occasion of his turning 60 with a laconic: "Much too early." Remembering his position five years ago, we did not dare to think about one for him. But now he has turned 65. If consulted, he would most likely still answer: "Much too early." However, he has to take his official re tirement, and we believe that this is the right moment for such an endeavor. No doubt Werner Hildenbrand will not really retire. As professor emeritus, free from the constraints of a rigid teaching schedule and the burden of com mittee meetings, he will be able to indulge his passions. We expect him to pursue, with undiminished enthusiasm, his research, travel, golfing, the arts, and culinary pleasures - escaping real retirement."

This volume covers a large range of interesting topics from many areas of economics ranging from conceptual and methodological foundations of economic theory to theoretical and empirical demand analysis. It includes articles on the economics of the public sector, of network industries, and of imperfect competition; on general equilibrium analysis and game theory; and on experimental, monetary, and financial economics. Papers presenting original research are supplemented by stimulating surveys. They together offer a broad spectrum for professional economists and doctoral students alike. Among the authors are some of the world`s leading economists including two Nobel Laureates.

Dieses Buch legt die wichtigsten vor einem Studium der Wirtschaftswissenschaften erforderlichen Kenntnisse der Schulmathematik dar und liefert die Grundlage fur einen mathematischen Vorkurs, wie er an wirtschaftswissenschaftlichen Universitaten ublich ist. Neben Grundbegriffen der elementaren Mengenlehre und der Differential- und Integralrechung geht es unter anderem auch auf die naturlichen, ganzen, rationalen und reellen Zahlen ein. Struktureigenschaften fur Abbildungen werden in abnehmender Restriktion eingefuhrt: Linearitat, Differenzierbarkeit, Stetigkeit, Integrierbarkeit. In einem abschliessenden Kapitel werden die Exponentialfunktion, der Logarithmus und die Winkelfunktion diskutiert. Das Buch behandelt somit grundlegende Kenntnisse der Mathematik und geht gleichzeitig auf speziell in der Wirtschaftswissenschaft benotigte Notationen und Terminologie ein. Vor und wahrend der ersten Semester der Wirtschaftswissenschaft liefert das Buch unverzichtbare Informationen und Grundlagen zu den im Studium notwendigen mathematischen Zusammenhangen."