الصفحة 1
الصفحة 1
Evolutionary Microeconomics
Classical microeconomics is intended to explain how a price system is able to coordinate the economic agents. But even if it can be extended to incomplete information and externalities, it remains grounded on very heroic assumptions. Agents are endowed with a very strong rationality, equilibrium is stated without a concrete process to achieve it, market is the unique institution considered. Evolutionary microeconomics is aimed at bypassing these limitations by considering a dynamic approach, however not biologically oriented.
Economists Mathematical Manual
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.
Economic dynamics and information
This book analyzes the existence of equilibria in economies having a measured space of agents and a continuum of agents and commodities. Excessive homogeneity with respect to agent productivity leads to instability and non-uniqueness of a given stationary state and the indeterminacy of the corresponding stationary state equilibrium. Sufficient heterogeneity leads to global saddle-path stability, uniqueness of a given stationary state and the global uniqueness of the corresponding equilibrium.
Differential Information Economies
One of the main problems in current economic theory is to write contracts which are Pareto optimal, incentive compatible, and also implementable as a perfect Bayesian equilibrium of a dynamic, noncooperative game. The question arises whether it is possible to provide Walrasian type or cooperative equilibrium concepts which have these properties. This volume contains original contributions on noncooperative and cooperative equilibrium notions in economies with differential information and provides answers to the above questions. Moreover, issues of stability, learning and continuity of alternative equilibria are also examined.
A Geometry of Approximation : Rough Set Theory: Logic, Algebra and Topology of Conceptual Patterns
A Geometry of Approximation' addresses Rough Set Theory, a field of interdisciplinary research first proposed by Zdzislaw Pawlak in 1982, and focuses mainly on its logic-algebraic interpretation. The theory is embedded in a broader perspective that includes logical and mathematical methodologies pertaining to the theory, as well as related epistemological issues. Any mathematical technique that is introduced in the book is preceded by logical and epistemological explanations. Intuitive justifications are also provided, insofar as possible, so that the general perspective is not lost.
