This monograph grew out of a project which was sponsored by the Swiss National Foundation ("Schweizerischer Nationalfonds") under grant no. 4. 636-0. 83. 09. Yithin this project, prediction-oriented estimation methods for the canonical econometric disequilibrium model were developed. The present monograph deals with the application of these estimation techniques to three aggregative markets of the Swiss economy. Parts of the monograph have been presented at various places: the estimation techniques described in chapter 3 at the European Meeting of the Econometric Society, Madrid 1984; the application to residential investment described in chapter 4 at a symposium on housing policy at the University of Mannheim, 1984; the empirical study on the money stock described in chapter 5 at the Symposium on Money, Banking and Insurance held at the University of Karlsruhe, 1984, as well as at a joint seminar of the University of Basle and the Bank for International Settlements (BIS), 1985; and, finally, the empirical study on the aggregate labor market described in chapter 6 at a seminar of the University of ZUrich, 1985. Comments from toe seminar participants, in particular from Palle S. Andersen (BIS) who served as a discussant, Pascal Bridel (Swiss National Bank, SNB), Franz Ettlin (SNB), and Kurt Schiltknecht (Nordfinanz-Bank, Zurich) are gratefully acknowledged, without implying any responsibility on their part. The methodological part described in chapters 2 and 3 is contributed by G. Frei and B.

Economic theory of the last fifty years has been dominated by the paradigm of General Equilibrium Theory, based on the scientific work of Walras-Pareto-Cassel-Wald-Hicks-Arrow-De breu-McKenzie. Some of its grounding assumptions are: all prices are fully flexible; an auctioneer appropriately manipulates all prices according to the law of supply and demand; every con sumer has only one budget constraint; all agents are perfectly informed; no actions are taken by agents before a vector of prices has been found such that all markets clear. Indeed, when all markets clear every agent can implement her/his chosen (opti mal) action and nobody is urged to change his/her decisions. Under these assumptions it is generally said that in a (one pe riod, competitive) general equilibrium model there is no place for money. The present monograph takes general equilibrium as the ba sis on which to build the model presented. But its first aim is to completely dispense with the Walrasian auctioneer by giving firms the task of choosing their output price~ period after period.

The papers collected in this volume are contributions to T.I.Tech./K.E.S. Conference on Nonlinear and Convex Analysis in Economic Theory, which was held at Keio University, July 2-4, 1993. The conference was organized by Tokyo Institute of Technology (T. I. Tech.) and the Keio Economic Society (K. E. S.) , and supported by Nihon Keizai Shimbun Inc .. A lot of economic problems can be formulated as constrained optimiza tions and equilibrations of their solutions. Nonlinear-convex analysis has been supplying economists with indispensable mathematical machineries for these problems arising in economic theory. Conversely, mathematicians working in this discipline of analysis have been stimulated by various mathematical difficulties raised by economic the ories. Although our special emphasis was laid upon "nonlinearity" and "con vexity" in relation with economic theories, we also incorporated stochastic aspects of financial economics in our project taking account of the remark able rapid growth of this discipline during the last decade. The conference was designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who were seeking for effective mathematical weapons for their researches. Thirty invited talks (six of them were plenary talks) given at the conf- ence were roughly classified under the following six headings : 1) Nonlinear Dynamical Systems and Business Fluctuations, . 2) Fixed Point Theory, 3) Convex Analysis and Optimization, 4) Eigenvalue of Positive Operators, 5) Stochastic Analysis and Financial Market, 6) General Equilibrium Analysis.