Skip to main content

Dynamic Coalition Logic: Granting and Revoking Dictatorial Powers

  • Conference paper
  • First Online:
Logic, Rationality, and Interaction (LORI 2021)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 13039))

Included in the following conference series:

Abstract

One of the classic formalisms for reasoning about multi-agent coalitional ability is coalition logic (CL). In CL it is possible to express what a coalition can achieve in the next step no matter what agents outside of the coalition do at the same time. We propose an extension of CL with dynamic operators that allow us to grant dictatorial powers to agents or to revoke them. In such a way we are able to reason about the dynamics of coalitional ability. We also discuss some logical properties of the proposed formalisms and compare their relative expressive power.

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 49.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 64.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Similar content being viewed by others

Notes

  1. 1.

    Dynamic epistemic logics with coalitional operators have been studied only in the setting of public announcements (see [8, 9]). These logics, however, are not strictly coalitional in the sense of [15] since they are defined on epistemic models, not concurrent game models.

References

  1. Ågotnes, T., Goranko, V., Jamroga, W.: Alternating-time temporal logics with irrevocable strategies. In: Samet, D. (ed.) Proceedings of the 11th TARK, pp. 15–24 (2007). https://doi.org/10.1145/1324249.1324256

  2. Ågotnes, T., Goranko, V., Jamroga, W., Wooldridge, M.: Knowledge and ability. In: van Ditmarsch, H., Halpern, J.Y., van der Hoek, W., Kooi, B. (eds.) Handbook of Epistemic Logic, pp. 543–589. College Publications (2015)

    Google Scholar 

  3. Alur, R., Henzinger, T.A., Kupferman, O.: Alternating-time temporal logic. J. ACM 49, 672–713 (2002). https://doi.org/10.1145/585265.585270

    Article  Google Scholar 

  4. Areces, C., Fervari, R., Hoffmann, G.: Relation-changing modal operators. Logic J. IGPL 23(4), 601–627 (2015). https://doi.org/10.1093/jigpal/jzv020

    Article  Google Scholar 

  5. Aucher, G., van Benthem, J., Grossi, D.: Modal logics of sabotage revisited. J. Logic Comput. 28(2), 269–303 (2018). https://doi.org/10.1093/logcom/exx034

    Article  Google Scholar 

  6. Bolander, T., Andersen, M.B.: Epistemic planning for single and multi-agent systems. J. Appl. Non-Classical Logics 21(1), 9–34 (2011). https://doi.org/10.3166/jancl.21.9-34

    Article  Google Scholar 

  7. van Ditmarsch, H., van der Hoek, W., Kooi, B.: Dynamic Epistemic Logic, Synthese Library, vol. 337. Springer, Dordrecht (2008). https://doi.org/10.1007/978-1-4020-5839-4

  8. Galimullin, R.: Coalition announcements. Ph.D. thesis, University of Nottingham, UK (2019)

    Google Scholar 

  9. Galimullin, R.: Coalition and relativised group announcement logic. J. Logic Lang. Inf. (2021). https://doi.org/10.1007/s10849-020-09327-2

  10. Goranko, V., Jamroga, W.: Comparing semantics of logics for multi-agent systems. Synthese 139(2), 241–280 (2004). https://doi.org/10.1023/B:SYNT.0000024915.66183.d1

    Article  Google Scholar 

  11. Herlihy, M., Moir, M.: Blockchains and the logic of accountability: keynote address. In: Grohe, M., Koskinen, E., Shankar, N. (eds.) Proceedings of the 31st LICS, pp. 27–30. ACM (2016). https://doi.org/10.1145/2933575.2934579

  12. Kooi, B., Renne, B.: Arrow update logic. Rev. Symbol. Logic 4(4), 536–559 (2011). https://doi.org/10.1017/S1755020311000189

    Article  Google Scholar 

  13. Kuijer, L.B.: An arrow-based dynamic logic of norms. In: Gutierrez, J., Mogavero, F., Murano, A., Wooldridge, M. (eds.) Proceedings of the 3rd SR, pp. 1–11 (2015)

    Google Scholar 

  14. Pauly, M.: Logic for social software. Ph.D. thesis, ILLC, University of Amsterdam, The Netherlands (2001)

    Google Scholar 

  15. Pauly, M.: A modal logic for coalitional power in games. J. Logic Comput. 12(1), 149–166 (2002). https://doi.org/10.1093/logcom/12.1.149

    Article  Google Scholar 

Download references

Acknowledgments

We thank the anonymous reviewers of the paper.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Rustam Galimullin .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Galimullin, R., Ågotnes, T. (2021). Dynamic Coalition Logic: Granting and Revoking Dictatorial Powers. In: Ghosh, S., Icard, T. (eds) Logic, Rationality, and Interaction. LORI 2021. Lecture Notes in Computer Science(), vol 13039. Springer, Cham. https://doi.org/10.1007/978-3-030-88708-7_7

Download citation

Publish with us

Policies and ethics