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Books > Business & Economics > Economics > Econometrics
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Cooperative and Noncooperative Multi-Level Programming (Hardcover, 2009 ed.)
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Cooperative and Noncooperative Multi-Level Programming (Hardcover, 2009 ed.)
Series: Operations Research/Computer Science Interfaces Series, 48
Expected to ship within 10 - 15 working days
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To derive rational and convincible solutions to practical decision
making problems in complex and hierarchical human organizations,
the decision making problems are formulated as relevant
mathematical programming problems which are solved by developing
optimization techniques so as to exploit characteristics or
structural features of the formulated problems. In particular, for
resolving con?ict in decision making in hierarchical managerial or
public organizations, the multi level formula tion of the
mathematical programming problems has been often employed together
with the solution concept of Stackelberg equilibrium. However,
weconceivethatapairoftheconventionalformulationandthesolution
concept is not always suf?cient to cope with a large variety of
decision making situations in actual hierarchical organizations.
The following issues should be taken into consideration in
expression and formulation of decision making problems.
Informulationofmathematicalprogrammingproblems,
itistacitlysupposedthat decisions are made by a single person while
game theory deals with economic be havior of multiple decision
makers with fully rational judgment. Because two level mathematical
programming problems are interpreted as static Stackelberg games,
multi level mathematical programming is relevant to noncooperative
game theory; in conventional multi level mathematical programming
models employing the so lution concept of Stackelberg equilibrium,
it is assumed that there is no communi cation among decision
makers, or they do not make any binding agreement even if there
exists such communication. However, for decision making problems in
such as decentralized large ?rms with divisional independence, it
is quite natural to sup pose that there exists communication and
some cooperative relationship among the decision maker
General
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