Skip to main content

The Bioeconomics of Scout Bees Voting-with-the-Wings Using Less-Than-Unanimity Voting Rule: Can Bees Count, Quorum Sense, etc.?

  • Chapter
  • First Online:
Public Choice, Past and Present

Part of the book series: Studies in Public Choice ((SIPC,volume 28))

Abstract

Recent experimental findings by Thomas Seeley et al. (2006) found that the essence of group decision-making by scout bees is their use of a kind of “quorum-sensing” voting rule, rather than the unanimity rule (Martin Lindauer 1961) in arriving at their collective choice of the best new nest site. In light of the new experimental findings, this paper revises my earlier paper’s (Landa 1986) theoretical conclusion that the unanimity rule is the “best” rule for the scout bees’ collective choice of the best new nest site. A novelty in this paper is my hypothesis that bees, though unable to count, are able to “subitize” and hence able to sense when a collective decision by a quorum of scout bees has been reached.

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

Access this chapter

eBook
USD 16.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 109.99
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

Notes

  1. 1.

    For a fascinating discussion of counting and numbers, see Brian Butterworth (1999).

  2. 2.

    2 See the fascinating book by Keith Devlin (2011) on counting and the introduction of the Hindu-Arabic numerical system by Leonardo Pisano (Leonardo of Pisa), nicknamed Fibonacci, to the Western trading world.

  3. 3.

    3  See, for example, Landa’s (1998) paper on schooling fish, which uses Buchanan’s (1965) theory of clubs, combined with Buchanan–Tullock’s (1962) “Calculus of Consent” theoretical framework. See also Landa and Wallis (1988), Landa and Tullock (2003).

References

  • Buchanan JM (1965) An economic theory of clubs. Economica 32:1–14

    Article  Google Scholar 

  • Buchanan JM, Tullock G (1962) The calculus of consent: logical foundations of constitutional democracy. The University of Michigan Press, Ann Arbor

    Google Scholar 

  • Butterworth B (1999) The mathematical brain. McMillan, London (2000 paperback edition by Papermac)

    Google Scholar 

  • Devlin K (2011) The man of numbers: Fibonacci’s arithmetic revolution. Bloomsbury, London

    Google Scholar 

  • Emmerton J (2001) Birds’ judgement of number and quantity. Avian visual cognition (This is an e-book that I searched via Google)

    Google Scholar 

  • Hacking I (2010) The mathematical animal. TVO program “Big Ideas”: Ian Hacking on the mathematical animal. Aired on 19 March 2011

    Google Scholar 

  • Hölldobler B, Wilson EO (2009) The superorganisms: the beauty, elegance, and strangeness of insect societies. Norton, New York

    Google Scholar 

  • Kaufman EL, Lord MW, Reese TW, Volkmann J (1949) The discrimination of visual number. Am J Psychol 62(4):498–525

    Article  Google Scholar 

  • Koehler O (1941) Vom Erlernen unbenannter Anzahlen bei Vögeln. (On the learning of unnamed numerosities by birds.) Die Naturwissenschaften 29:201–218

    Google Scholar 

  • Landa JT (1986) The political economy of swarming in honeybees: voting-with-the-wings, decision-making costs, and the unanimity rule. Public Choice 51:25–38

    Article  Google Scholar 

  • Landa JT (1998) Bioeconomics of schooling fishes: selfish fish, quasi free riders, and other fishy tales. Environ Biol Fish 53(2):353–364

    Article  Google Scholar 

  • Landa JT, Wallis A (1988) Socioeconomic organization of honeybee colonies. J Soc Biol Struct 2:353–363

    Article  Google Scholar 

  • Landa JT, Tullock G (2003) Why ants do but honeybees do not contruct satellite nests. J Bioeconomics 5:151–164

    Google Scholar 

  • Lindauer M (1961) Communication among social bees. Harvard University Press, Cambridge

    Google Scholar 

  • Seeley TD (2010) Honeybee democracy. Princeton University Press, Princeton

    Google Scholar 

  • Seeley TD, Visscher PK, Passino KM (2006) When 10,000 bees go house hunting, how do they cooperatively choose their new nesting site? Am Sci 94:220–229

    Google Scholar 

  • von Frisch K (1967) The dance language and orientation of bees. Oxford University Press, London

    Google Scholar 

  • Wilson EO (1978) The ergonomics of caste in the social insects. Am Econ Rev 68(4):25–35

    Google Scholar 

Download references

Acknowledgments

This is a revised version of a paper presented at the Second World Congress of the Public Choice Societies, Hyatt Regency Miami, Florida, 8–11 March 2012. I would like to thank Bernard Grofman, discussant of my paper, Charles K. Rowley, and Anthony Wallis for helpful comments which improved this chapter.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Janet T. Landa .

Editor information

Editors and Affiliations

Additional information

I dedicate this paper to my professors, James M. Buchanan and Gordon Tullock, on the occasion of the 50th anniversary of the publication of their seminal book, The Calculus of Consent: Logical Foundations of Constitutional Democracy. Ann Arbor: The University of Michigan Press, 1962.

Rights and permissions

Reprints and permissions

Copyright information

© 2013 Springer Science+Business Media New York

About this chapter

Cite this chapter

Landa, J.T. (2013). The Bioeconomics of Scout Bees Voting-with-the-Wings Using Less-Than-Unanimity Voting Rule: Can Bees Count, Quorum Sense, etc.?. In: Lee, D. (eds) Public Choice, Past and Present. Studies in Public Choice, vol 28. Springer, New York, NY. https://doi.org/10.1007/978-1-4614-5909-5_7

Download citation

Publish with us

Policies and ethics