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A Course on Cooperative Game Theory

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Listed:
  • Chakravarty,Satya R.
  • Mitra,Manipushpak
  • Sarkar,Palash

Abstract

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.

Suggested Citation

  • Chakravarty,Satya R. & Mitra,Manipushpak & Sarkar,Palash, 2014. "A Course on Cooperative Game Theory," Cambridge Books, Cambridge University Press, number 9781107691322.
    • Handle: RePEc:cup:cbooks:9781107691322
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    Cited by:

    1. Bhattacherjee, Sanjay & Sarkar, Palash, 2018. "Voting in the Goods and Service Tax Council of India," MPRA Paper 86239, University Library of Munich, Germany.
    2. Matt Van Essen & John Wooders, 2023. "Dual auctions for assigning winners and compensating losers," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 76(4), pages 1069-1114, November.
    3. Alexandre Chirat & Guillaume Sekli, 2022. "Assessing the credibility and fairness of international corporate tax rate harmonization via cooperative game theory," Working Papers 2022-08, CRESE.
    4. Jochen Staudacher & Johannes Anwander, 2019. "Conditions for the uniqueness of the Gately point for cooperative games," Papers 1901.01485, arXiv.org.
    5. Bhattacherjee, Sanjay & Chakravarty, Satya R. & Sarkar, Palash, 2022. "A General Model for Multi-Parameter Weighted Voting Games," MPRA Paper 115407, University Library of Munich, Germany.
    6. Satya R. Chakravarty & Palash Sarkar, 2022. "Inequality minimising subsidy and taxation," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 10(1), pages 53-67, May.
    7. Izabella Stach, 2022. "Reformulation of Public Help Index θ Using Null Player Free Winning Coalitions," Group Decision and Negotiation, Springer, vol. 31(2), pages 317-334, April.
    8. Bhattacherjee, Sanjay & Sarkar, Palash, 2017. "Correlation and inequality in weighted majority voting games," MPRA Paper 83168, University Library of Munich, Germany.
    9. Sanjay Bhattacherjee & Palash Sarkar, 2021. "Weighted voting procedure having a unique blocker," International Journal of Game Theory, Springer;Game Theory Society, vol. 50(1), pages 279-295, March.
    10. Alex Lord & Philip O’Brien, 2017. "What price planning? Reimagining planning as “market maker”," Planning Theory & Practice, Taylor & Francis Journals, vol. 18(2), pages 217-232, April.
    11. Bhattacherjee, Sanjay & Sarkar, Palash, 2017. "Cryptocurrency Voting Games," MPRA Paper 83592, University Library of Munich, Germany.
    12. Athanasios Kehagias, 2023. "On the Nash Equilibria of a Duel with Terminal Payoffs," Games, MDPI, vol. 14(5), pages 1-12, September.
    13. Somdeb Lahiri, 2021. "Pattanaik's axioms and the existence of winners preferred with probability at least half," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 31(2), pages 109-122.
    14. Jin, Xuefeng & Park, Kang Tae & Kim, Kap Hwan, 2019. "Storage space sharing among container handling companies," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 127(C), pages 111-131.

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