JEAN-FRANQOIS MERTENS This book presents a systematic exposition of
the use of game theoretic methods in general equilibrium analysis.
Clearly the first such use was by Arrow and Debreu, with the
"birth" of general equi librium theory itself, in using Nash's
existence theorem (or a generalization) to prove the existence of a
competitive equilibrium. But this use appeared possibly to be
merely tech nical, borrowing some tools for proving a theorem. This
book stresses the later contributions, were game theoretic concepts
were used as such, to explain various aspects of the general
equilibrium model. But clearly, each of those later approaches also
provides per sea game theoretic proof of the existence of
competitive equilibrium. Part A deals with the first such approach:
the equality between the set of competitive equilibria of a
perfectly competitive (i.e., every trader has negligible market
power) economy and the core of the corresponding cooperative game."
General
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