Advances in Mathematical Economics

Advances in Mathematical Economics

Advances in Mathematical Economics

Advances in Mathematical Economics

Paperback(Softcover reprint of the original 1st ed. 2003)

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Overview

The role of asymmetric information in allocation of resources, together with the associated information-revelation process, has long been a central focus of economic research. While the bulk of the literature addresses these is­ sues within the framework of principal-agent relationship, which essentially reduces the problem to the sole principal's (the sole Stackelberg leader's) optimization problem subject to the agents' (the Stackelberg followers') re­ sponses, there are recent attempts to extend analysis to other economic setups characterized by different relationships among decision-makers. A notable strand of such attempts is the core analysis of incomplete information. Here, there is no Stackelberg-type relationship, and more importantly the players can talk to each other for coordinated choice of strategies. See, e.g., Wilson (1978) for a pioneering work; Yannelis (1991) for formula­ tion of feasibility of a strategy as its measurability; Ichiishi and Idzik (1996) for introduction of Bayesian incentive-compatibility to this strand; Ichiishi, Idzik and Zhao (1994) for information revelation (that is, endogenous deter­ mination of updated information structures); Ichiishi and Radner (1997) and Ichiishi and Sertel (1998) for studies of a specific model of Chandler's firm in multidivisional form for sharper results; and Vohra (1999) for a recent work. It is a common postulate in these works that every player takes part in design of a mechanism and also in execution of the signed contract.

Product Details

ISBN-13: 9784431679769
Publisher: Springer Japan
Publication date: 10/26/2012
Series: Advances in Mathematical Economics , #5
Edition description: Softcover reprint of the original 1st ed. 2003
Pages: 200
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

Research Articles.- Duality and existence for a class of mass transportation problems and economic applications.- Functional evolution equations governed by m-accretive operators.- Nonlinear generalizations of theorems on inverse-positive matrices.- Implicit functions and diffeomorphisms without C1.- Optimization and Lagrange multipliers: non-C1constraints and “minimal” constraint qualification.- Monte Carlo method for pricing of Bermuda type derivatives.- Historical Perspective.- Mathematical economics in Vienna between the Wars.

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