Advances in Mathematical Economics

Kusuoka, Shigeo.

Advances in Mathematical Economics [electronic resource] / by Shigeo Kusuoka, Toru Maruyama. - 1st ed. 2000. - V, 164 p. online resource. - Advances in Mathematical Economics, 2 1866-2226 ; . - Advances in Mathematical Economics, 2 .

Research Articles -- Turnpike theorems for positive multivalued stochastic operators -- Functional differential inclusion on closed sets in Banach spaces -- Job matching: a multi-principal, multi-agent model -- Term structure and SPDE -- Fixed point theorems and the existence of economic equilibria based on conditions for local directions of mappings -- Efficiency of stochastic transfers in a directed graph -- Allocations of labour resources on trajectories for the model with discrete innovations.

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 in­ formation. Here, there is no Stackelberg-type relationship, and more impor­ tantly 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.

9784431679097

10.1007/978-4-431-67909-7 doi


Economic theory.
Economics, Mathematical .
Economic Theory/Quantitative Economics/Mathematical Methods.
Quantitative Finance.

HB1-846.8

330.1

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