IDEAS home Printed from https://ideas.repec.org/a/spr/dyngam/v6y2016i3d10.1007_s13235-015-0152-4.html
   My bibliography  Save this article

On the Evolution of Partial Respect for Ownership

Author

Listed:
  • Mike Mesterton-Gibbons

    (Florida State University)

  • Tugba Karabiyik

    (Florida State University)

  • Tom N. Sherratt

    (Carleton University)

Abstract

An early prediction of game theory was that respect for ownership—“Bourgeois” or $$B$$ B behavior—can arise as an arbitrary convention to avoid costly disputes. However, its mirror image—the dispute-avoiding “anti-Bourgeois” or $$X$$ X behavior through which owners concede their property to intruders—also corresponds to an evolutionarily stable strategy (ESS) under the same conditions. It has since been found repeatedly that first finders of valuable resources are frequently left unchallenged in nature, while evidence for ceding property to intruders without a contest is rare at best. An early verbal rationale for the observed rarity of $$X$$ X was that two individuals employing such behavior over repeated rounds would be interchanging roles repeatedly, a potentially inefficient outcome known as “infinite regress.” This argument was formalized only recently, through a Hawk–Dove model with ownership asymmetry and a fixed probability $$w$$ w that two individuals meet again. The analysis showed that if $$w$$ w and the cost of fighting exceed thresholds determined by the costs of assuming and relinquishing ownership, then $$B$$ B becomes the only stable convention. However, contrary to expectation, and despite the inefficiency of the $$X$$ X equilibrium, the analysis also showed that “infinite regress” does not invariably render $$X$$ X unviable. Nevertheless, this model dealt only with ESSs at which respect for ownership is either absolute or entirely absent. Here, we extend the model to allow for polymorphic evolutionarily stable states, and we use it to explore the conditions that favor partial respect for ownership. In this way, we produce an analytic model that predicts a range of degrees of partial respect for ownership, dependent on model parameters. In particular, we identify a pathway through which any degree of respect for ownership can evolve from absolute disrespect under increasing $$w$$ w with increasing costs of fighting.

Suggested Citation

  • Mike Mesterton-Gibbons & Tugba Karabiyik & Tom N. Sherratt, 2016. "On the Evolution of Partial Respect for Ownership," Dynamic Games and Applications, Springer, vol. 6(3), pages 359-395, September.
  • Handle: RePEc:spr:dyngam:v:6:y:2016:i:3:d:10.1007_s13235-015-0152-4
    DOI: 10.1007/s13235-015-0152-4
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13235-015-0152-4
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s13235-015-0152-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Ross Cressman, 2003. "Evolutionary Dynamics and Extensive Form Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262033054, April.
    2. Brian R. Smith & Daniel T. Blumstein, 2008. "Fitness consequences of personality: a meta-analysis," Behavioral Ecology, International Society for Behavioral Ecology, vol. 19(2), pages 448-455.
    3. Tom Bentley & Tristan T. Hull & Ian C.W. Hardy & Marlène Goubault, 2009. "The elusive paradox: owner--intruder roles, strategies, and outcomes in parasitoid contests," Behavioral Ecology, International Society for Behavioral Ecology, vol. 20(2), pages 296-304.
    4. Gintis, Herbert, 2007. "The evolution of private property," Journal of Economic Behavior & Organization, Elsevier, vol. 64(1), pages 1-16, September.
    5. Patricia R. Y. Backwell & Michael. D. Jennions, 2004. "Coalition among male fiddler crabs," Nature, Nature, vol. 430(6998), pages 417-417, July.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Mark Broom & Jan Rychtář, 2018. "Evolutionary Games with Sequential Decisions and Dollar Auctions," Dynamic Games and Applications, Springer, vol. 8(2), pages 211-231, June.
    2. D. Timothy Bishop & Mark Broom & Richard Southwell, 2020. "Chris Cannings: A Life in Games," Dynamic Games and Applications, Springer, vol. 10(3), pages 591-617, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Mike Mesterton-Gibbons & Tugba Karabiyik & Tom Sherratt, 2014. "The Iterated Hawk–Dove Game Revisited: The Effect of Ownership Uncertainty on Bourgeois as a Pure Convention," Dynamic Games and Applications, Springer, vol. 4(4), pages 407-431, December.
    2. Ozgur Aydogmus & Erkan Gürpinar, 2022. "Science, Technology and Institutional Change in Knowledge Production: An Evolutionary Game Theoretic Framework," Dynamic Games and Applications, Springer, vol. 12(4), pages 1163-1188, December.
    3. Szabó, György & Borsos, István & Szombati, Edit, 2019. "Games, graphs and Kirchhoff laws," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 416-423.
    4. Christian Hilbe & Moshe Hoffman & Martin A. Nowak, 2015. "Cooperate without Looking in a Non-Repeated Game," Games, MDPI, vol. 6(4), pages 1-15, September.
    5. Takuya Sekiguchi, 2023. "Fixation Probabilities of Strategies for Trimatrix Games and Their Applications to Triadic Conflict," Dynamic Games and Applications, Springer, vol. 13(3), pages 1005-1033, September.
    6. Sandholm, William H. & Izquierdo, Segismundo S. & Izquierdo, Luis R., 2019. "Best experienced payoff dynamics and cooperation in the Centipede game," Theoretical Economics, Econometric Society, vol. 14(4), November.
    7. Anirban Ghatak & K. Mallikarjuna Rao & A. Shaiju, 2012. "Evolutionary Stability Against Multiple Mutations," Dynamic Games and Applications, Springer, vol. 2(4), pages 376-384, December.
    8. Lenzo, Justin & Sarver, Todd, 2006. "Correlated equilibrium in evolutionary models with subpopulations," Games and Economic Behavior, Elsevier, vol. 56(2), pages 271-284, August.
    9. Weliton Menário & Wendy J King & Timothée Bonnet & Marco Festa-Bianchet & Loeske E B Kruuk, 2023. "Early-life behavior, survival, and maternal personality in a wild marsupial," Behavioral Ecology, International Society for Behavioral Ecology, vol. 34(6), pages 1002-1012.
    10. Patrick Kane & Kevin J S Zollman, 2015. "An Evolutionary Comparison of the Handicap Principle and Hybrid Equilibrium Theories of Signaling," PLOS ONE, Public Library of Science, vol. 10(9), pages 1-14, September.
    11. Pamela Jakiela & Edward Miguel & Vera Velde, 2015. "You’ve earned it: estimating the impact of human capital on social preferences," Experimental Economics, Springer;Economic Science Association, vol. 18(3), pages 385-407, September.
    12. Aradhana Narang & A. J. Shaiju, 2019. "Evolutionary Stability of Polymorphic Profiles in Asymmetric Games," Dynamic Games and Applications, Springer, vol. 9(4), pages 1126-1142, December.
    13. George Liagouras, 2016. "From Heterodox Political Economy to Generalized Darwinism," Review of Radical Political Economics, Union for Radical Political Economics, vol. 48(3), pages 467-484, September.
    14. Fabio Lamantia & Mario Pezzino & Fabio Tramontana, 2017. "Tax Evasion, Intrinsic Motivation, and the Evolutionary Effects of Tax Reforms," Economics Discussion Paper Series 1707, Economics, The University of Manchester.
    15. Han, The Anh & Traulsen, Arne & Gokhale, Chaitanya S., 2012. "On equilibrium properties of evolutionary multi-player games with random payoff matrices," Theoretical Population Biology, Elsevier, vol. 81(4), pages 264-272.
    16. Teresa L. Dzieweczynski & Alyssa M. Russell & Lindsay M. Forrette & Krystal L. Mannion, 2014. "Male behavioral type affects female preference in Siamese fighting fish," Behavioral Ecology, International Society for Behavioral Ecology, vol. 25(1), pages 136-141.
    17. Zibo Xu, 2013. "The instability of backward induction in evolutionary dynamics," Discussion Paper Series dp633, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    18. Bezin, Emeline & Ponthière, Gregory, 2019. "The tragedy of the commons and socialization: Theory and policy," Journal of Environmental Economics and Management, Elsevier, vol. 98(C).
    19. Giovanni Polverino & Upama Aich & Jack A Brand & Michael G Bertram & Jake M Martin & Hung Tan & Vrishin R Soman & Rachel T Mason & Bob B M Wong, 2023. "Sex-specific effects of psychoactive pollution on behavioral individuality and plasticity in fish," Behavioral Ecology, International Society for Behavioral Ecology, vol. 34(6), pages 969-978.
    20. Cressman, Ross & Hofbauer, Josef & Riedel, Frank, 2005. "Stability of the Replicator Equation for a Single-Species with a Multi-Dimensional Continuous Trait Space," Bonn Econ Discussion Papers 12/2005, University of Bonn, Bonn Graduate School of Economics (BGSE).

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:dyngam:v:6:y:2016:i:3:d:10.1007_s13235-015-0152-4. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.