Abstract
Producing physical plans that manipulate urban form and function to generate optimal designs with respect to an affected community is a many-stage process of resolving inherent conflicts between those who represent the interests of the community. Here we introduce a class of decision models that involve resolving conflicts between a series of opinions that differ from one another and are associated with a set of agents who act as designers. These opinions are expressed as differing interest and control in factors that influence the design and these are articulated as spatial plans based on the suitability or desirability of different map locations for physical development. We define a set of agents who motivate the process and whose interactions which involve resolving their conflicting opinions, are used to pool opinions where, at each stage, some degree of resolution takes place. Ultimately because every opinion relates to every other through the network of relations that bind agents together, a consensus is reached that can be interpreted as a process of weighted averaging whose formal properties mirror the operation of a first-order Markov chain. The elaboration of this process that we invoke here is based on a process of exchange due to Coleman (Foundations of Social Theory. Belknap Press, Cambridge, MA, 1994) in which we characterise the problem as one of resolving conflicts between agents which we call the primal or differences between factors in terms of opinions which we call the dual. We define several variants of this process and then demonstrate this for a semi-real ‘toy’ problem of land development in the heart of London where a small set of stakeholder agents have different degrees of interest and control in a small set of land and building sites (parcels). In terms of the model, we show how the problem is already in equilibrium if interest and control are the same and this provides a benchmark for differences between interest and control which characterise the actual problem. We conclude with proposals for making the model more realistic and extending it to deal with problems where conflicts are only partially resolved or not resolved at all.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
M. Batty, The New Science of Cities (The MIT Press, Cambridge, MA, 2013)
V.D. Blondel, J.M. Hendricks, A. Bolshevik, J.N. Tsitsiklis, Convergence in multiagent coordination, consensus, and flocking, in Proceedings of the Joint 44th IEEE Conference on Decision and Control, European Control Conference, Seville, Spain, 12–15 Dec 2005
J.S. Coleman, Foundations of Social Theory (Belknap Press, Cambridge, MA, 1994)
M.H. De Groot, Reaching a consensus. J. Am. Stat. Assoc. 69, 118–121 (1974)
M. D’Errico, S. Stefani, G. Zambruno, G. Muradoglu, Opinion Dynamics and Price Formation: a Nonlinear Network Model (2014). arXiv:1408.0308v1. 1 Aug 2014
J.R.P. French, A formal theory of social power. Psychol. Rev. 63, 181–194 (1956)
N.E. Friedkin, A Structural Theory of Social Influence (Cambridge University Press, New York, 1998)
F. Harary, A criterion for unanimity in French’s theory of social power, in Studies in Social Power, ed. by D. Cartwright (Institute for Social Research, Ann Arbor, MI, 1959), pp. 168–182
M.O. Jackson, An overview of social networks and economic applications, in The Handbook of Social Economics, vol. 1, ed. by J. Benhabib, A. Bisin, M.O. Jackson (Elsevier, Amsterdam, 2011), pp. 511–585
P. Jia, A. Mirtabatabaei, N.E. Friedkin, F. Bulloy, Opinion Dynamics and the Evolution of Social Power in Influence Networks. Available at http://engineering.ucsb.edu/~pjia/papers/Influence%20Networks.pdf. (2013)
F.P. Kelly, How a group reaches an agreement: a stochastic model. Math. Soc. Sci. 2, 1–8 (1981)
I. McHarg, Design with Nature, American Museum of Natural History (Natural History Press, Garden City, NY, 1969)
S. Motsch, E. Tadmor, Heterophilious dynamics enhances consensus. SIAM Rev. 56, 577–621 (2014)
C. Steinitz, A Framework for Geodesign: Changing Geography by Design (ESRI Press, Redlands, CA, 2012)
C. Steinitz, P. Parker, L. Jordan, Hand-drawn overlays: their history and prospective uses. Landscape Archit. 66(5), 444–455 (1976)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this paper
Cite this paper
Batty, M. (2016). Evolving a Plan: Design and Planning with Complexity. In: Portugali, J., Stolk, E. (eds) Complexity, Cognition, Urban Planning and Design. Springer Proceedings in Complexity. Springer, Cham. https://doi.org/10.1007/978-3-319-32653-5_2
Download citation
DOI: https://doi.org/10.1007/978-3-319-32653-5_2
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-32651-1
Online ISBN: 978-3-319-32653-5
eBook Packages: Economics and FinanceEconomics and Finance (R0)