Skip to main content

A Dynamic Model of a Decision Making Body Where the Power of Veto Can Be Invoked

  • Chapter
  • First Online:
Book cover Recent Advances in Game Theory and Applications

Abstract

Classical analysis of the power of individuals or groups in decision making bodies tends to consider processes of coalition formation in isolation from each other. However, the results of attempts to form a winning coalition will affect the dynamics of coalition formation in the future, particularly when certain players are endowed with the power of veto. When a voter invokes their power of veto to block a generally popular motion, this is likely to provoke retaliation from the supporters of the motion. For this reason, even if a player is not in favor of a bill and can block it, it may be favorable for that party to abstain rather than veto in return for support regarding issues to be considered in the future. Hence, players should only use their power of veto if they are very strongly against a bill. In this paper, we present a model of voting in which the results of previous votes can affect the process of coalition formation. We present a model of such a dynamic voting game and present the form of an equilibrium in such a game. This theory is illustrated using an example based on the voting procedures used in the United Nations Security Council.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 54.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Başar, T., Olsder, G.J.: Dynamic Noncooperative Game Theory. SIAM Classics in Applied Mathematics, vol. 23, 2nd edn. SIAM, Philadelphia (1999)

    Google Scholar 

  2. Brams, S.J.: Negotiation Games. Routledge, New York (1990)

    Book  Google Scholar 

  3. Clauset, A., Shalizi, C.R., Newman, M.E.J.: Power-law distributions in empirical data. SIAM Rev. 51 (4), 661–703 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  4. Kennedy, P.: The Parliament of Man. Vintage, New York (2007)

    Google Scholar 

  5. Mercik, J.: Classification of committees with vetoes and conditions for the stability of power indices. Neurocomputing 149 (C), 1143–1148 (2015)

    Article  Google Scholar 

  6. Mercik, J., Ramsey, D.: On a simple game theoretical equivalence of voting majority games with vetoes of first and second degrees. In: Nguyen, N.T., Trawiński, B., Kosala, R. (eds.) Intelligent Information and Database Systems: 7th Asian Conference, ACIIDS 2015, Bali, Indonesia, 22–25 March 2015, Proceedings, Part 1, pp. 284–294. Springer, Heidelberg (2015)

    Google Scholar 

  7. Nossal, K.R.: International sanctions as international punishment. Int. Organ. 43 (2), 301–322 (1989)

    Article  Google Scholar 

  8. Ramsey, D., Mercik, J.: A formal a priori power analysis of the Security Council of the United Nations. In: Kersten, G., Kamiński, B., Szufel, P., Jakubczyk, M. (eds.) Proceedings of the 15th International Conference on Group Decision & Negotiation. Warsaw School of Economics Press, Warsaw (2015)

    Google Scholar 

  9. Ramsey, D., Mercik, J.: An equilibrium in a sequence of decisions with veto of first degree. In: Nunez, M., Nguyen, N.T., Camacho, D., Trawiński, B. (eds.) Computational Collective Intelligence. 7th International Conference, ICCCI 2015, Madrid, Spain, 21–23 September 2015, Proceedings, Part I, pp. 285–294. Springer, Cham (2015)

    Google Scholar 

  10. von Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press, Princeton (1944)

    MATH  Google Scholar 

  11. Xinbo, W.: Four contradictions constraining China’s foreign policy behavior. J. Contemp. China 10 (27), 293–301 (2001)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jacek Mercik .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2016 Springer International Publishing Switzerland

About this chapter

Cite this chapter

Mercik, J., Ramsey, D.M. (2016). A Dynamic Model of a Decision Making Body Where the Power of Veto Can Be Invoked. In: Petrosyan, L., Mazalov, V. (eds) Recent Advances in Game Theory and Applications. Static & Dynamic Game Theory: Foundations & Applications. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-43838-2_7

Download citation

Publish with us

Policies and ethics