Textbooks HSS 2015

Page 25

A Course on Cooperative Game Theory

Bahujan Samaj Party (BSP) and the scheduled castes (SCs); 8. Counting heads and party formation: why SC elites join the BSP; 9. Counting heads and preference formation: why SC voters prefer the BSP; 10. Counting heads and strategic voting: why SC voter preferences translate into BSP votes;11. Explaining different headcounts in the BSP and congress; 12. Extending the argument to other ethnic parties in India: BJP, JMM, DMK; 13. Conclusion. ISBN: 9780521608374

368pp

Satya R. Chakravarty, Manipushpak Mitra & Palash Sarkar

` 695.00

ECONOMICS Games in Economic Development Bruce Wydick

NEW

NEW

Games in Economic Development examines the roots of poverty and prosperity through the lens of elementary game theory, illustrating how patterns of human interaction can lead to vicious cycles of poverty as well as virtuous cycles of prosperity. This book shows how both social norms and carefully designed institutions can help shape the 'rules of the game', making better outcomes in a game possible for everyone involved. The book is entertaining to read, it can be accessed with little background in development economics or game theory. Its chapters explore games in natural resource use; education; coping with risk; borrowing and lending; technology adoption; governance and corruption; civil conflict; international trade; and the importance of networks, religion, and identity, illustrating concepts with numerous anecdotes from recent world events. Comes complete with an appendix, explaining the basic ideas in game theory used in the book.

314pp

Contents: Preface; 1. Introduction and motivation page; 2. Basics and preliminaries; 3. The core and some related solutions; 4. The bargaining set, kernel and nucleolus; 5. The Shapley value; 6. The core, Shapley value and Weber set; 7. Voting games; 8. Mathematical matching; 9. Non-transferable utility cooperative games; 10. Linear programming; 11. Algorithmic aspects of cooperative game theory; 12. Weighted majority games; 13. Stable matching algorithm • References • Index. ISBN: 9781107691322

An Introduction to Mathematics for Economics Akihito Asano

Contents: 1. Economic development, interdependence, and incentives; 2. Games; 3. Development traps and coordination games; 4. Rural poverty, development, and the environment; 5. Risk, solidarity networks, and reciprocity; 6. Understanding agrarian institutions; 7. Savings, credit, and microfinance; 8. Social learning and technology adoption; 9. Property rights, governance, and corruption; 10. Conflict, violence, and development; 11. Social capital; 12. The political economy of trade and development. ISBN: 9781107461697

Cooperative game theory deals with those situations where objectives of the participants of a game are partially cooperative and partially conflicting. While the book mainly discusses transferable utility games, there is a brief analysis of non-transferable utility games. Chapters 1 to 9 focus on alternative solution concepts to cooperative game theoretic problems, followed by the issues related to computation of solutions in the next four chapters. The mathematical techniques employed in demonstrating the results will be helpful for solving problems in game theory. The authors have explained the concepts and results using extensive verbal reasoning. Integration of theory and practice helps the readers understand the theoretical issues first and then see their practical relevance. This book is a good starting point for researchers in cooperative games.

` 795.00

276pp

` 495.00

An Introduction to Mathematics for Economics introduces quantitative methods to students of economics and finance in a succinct and accessible style. The introductory nature of this textbook means a background in economics is not essential, as it aims to help students appreciate that learning mathematics is relevant to their overall understanding of the subject. Economic and financial applications are explained in detail before students learn how mathematics can be used, enabling students to learn how to put mathematics into practice. Starting with a revision of basic mathematical principles the second half of the book introduces calculus, emphasising economic applications throughout. Appendices on matrix algebra and difference/differential equations are included for the benefit of more advanced students. Other features, including worked examples and exercises, help to underpin the readers’ knowledge and learning. Akihito Asano has drawn upon his own extensive teaching experience to create an unintimidating yet rigorous textbook. Contents: 1. Demand and supply in competitive markets; 2. Basic mathematics; 3. Financial mathematics; 4. Differential calculus I; 5. Differential calculus II; 6. Multivariate calculus; 7. Integral calculus; Appendix A. Matrix algebra; Appendix B. An introduction to difference and differential equations. ISBN: 9781107619166

23

282pp

` 595.00


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