A course on cooperative game theory
By: Chakravarty, Satya R.
Contributor(s): Mitra, Manipushpak | Sarkar, Palash.
Publisher: Delhi Cambridge University Press 2015Description: viii, 268p.ISBN: 9781107691322.Subject(s): Game theory | Economics, MathematicalDDC classification: 519.3 | C349c Summary: 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.| Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
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Books
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PK Kelkar Library, IIT Kanpur | General Stacks | 519.3 C349c (Browse shelf) | Checked out to Amruta Adbe (S2021426200) | 29/07/2024 | A184088 |
Browsing PK Kelkar Library, IIT Kanpur Shelves , Collection code: General Stacks Close shelf browser
| 519.3 B278g Game theory | 519.3 B515p Playing for real | 519.3 B848d Dynamic optimization | 519.3 C349c A course on cooperative game theory | 519.3 C455i4 An introduction to optimization | 519.3 C733c Combinatorial optimization | 519.3 C738 Complexity and approximation |
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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