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A Course on Cooperative Game Theory (Paperback)
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A Course on Cooperative Game Theory (Paperback)
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Cooperative game theory deals with situations where objectives of
participants of the game are partially cooperative and partially
conflicting. It is in the interest of participants to cooperate in
the sense of making binding agreements to achieve the maximum
possible benefit. When it comes to distribution of benefit/payoffs,
participants have conflicting interests. Such situations are
usually modelled as cooperative games. While the book mainly
discusses transferable utility games, there is also a brief
analysis of non-transferable utility games. Alternative solution
concepts to cooperative game theoretic problems are presented in
chapters 1-9 and the next four chapters present issues related to
computations of solutions discussed in the earlier chapters. The
proofs of all results presented in the book are quite explicit.
Additionally the mathematical techniques employed in demonstrating
the results will be helpful to those who wish to learn application
of mathematics for solving problems in game theory.
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