A hard day’s night: a dynamical model of artistic career choice. (English) Zbl 1511.37113
Summary: The music labor market is a highly competitive one, characterized by an oversupply of professionals, several forms of temporary work, and employment uncertainty. Many musicians experiencing these conditions decide to abandon their artistic career in favor of a more remunerated or stable one. We extend here a well known model of cultural goods’ production, by introducing dynamical aspects to propose a simple career choice dynamical model in which musicians can switch from a musical to a non-musical career and vice versa, and their choices are influenced by other musicians’ choices. We then discuss and interpret the attractors and the structure of their basins, provide the analytical expression of the boundaries of the 2-period cycles and numerically discuss the conditions for 3-period cycles. The model reproduces well the musicians’ employment situation and provides insights in terms of musicians’ career sustainability choices.
MSC:
| 37N99 | Applications of dynamical systems |
| 37G10 | Bifurcations of singular points in dynamical systems |
| 91B99 | Mathematical economics |
Keywords:
dynamical model; border collision bifurcation; periodicity tongues; career choice; musiciansReferences:
| [1] | Fish, M. D., Discovering the rediscovery of Antonio Vivaldi, Choral J, 55, 10, 18-31 (2015) |
| [2] | Hesmondhalgh, D.; Baker, S., ‘A very complicated version of freedom’: Conditions and experiences of creative labour in three cultural industries, Poetics, 38, 1, 4-20 (2010) |
| [3] | Chafe, D.; Kaida, L., Harmonic dissonance: coping with employment precarity among professional musicians in St John’s, Canada, Work Employ Soc, 34, 3, 407-423 (2020) |
| [4] | Hanlon W, Miscio A. Agglomeration: a dynamic approach. National Bureau of Economic Research, Working Paper Series 20728, 2014, http://dx.doi.org/10.3386/w20728. |
| [5] | Cottrell, S., Music as capital: Deputizing among London’s freelance musicians, Br J Ethnomusicol, 11, 2, 61-80 (2002) |
| [6] | Menger, P.-M., Chapter 22 artistic labor markets: Contingent work, excess supply and occupational risk management, (Ginsburg, V. A.; Throsby, D., Handbook of the economics of art and culture. Vol. 1 (2006), Elsevier), 765-811 |
| [7] | Menger, P.-M., Artistic labor markets and careers, Annu Rev Sociol, 25, 541-574 (1999) |
| [8] | Witte, H. D., Job insecurity and psychological well-being: Review of the literature and exploration of some unresolved issues, Eur J Work Organ Psychol, 8, 2, 155-177 (1999) |
| [9] | Harper, B., Health and safety in the classical music industry in the UK and Germany, Cult Trends, 11, 41, 43-91 (2001) |
| [10] | Parker, S. L.; Jimmieson, N. L.; Amiot, C. E., Persisting with a music career despite the insecurity: When social and motivational resources really matter, Psychol Music, 49, 1, 138-156 (2021) |
| [11] | Duranton, G.; Puga, D., Micro-foundations of Urban agglomeration economies, (Henderson, J. V.; Thisse, J. F., Handbook of regional and Urban economics. Vol. 4 (2004), Elsevier), 2063-2117 |
| [12] | Glaeser, E. L., Agglomeration economics (2010), University of Chicago Press, National Bureau of Economic Research |
| [13] | Borowiecki, K. J., Agglomeration economies in classical music, Pap Reg Sci, 94, 3, 443-468 (2015) |
| [14] | Schelling, T. C., Hockey helmets, concealed weapons, and daylight saving, J Conflict Resolution, 17, 381-428 (1973) |
| [15] | Bartlett, I.; Tolmie, D., What are you doing the rest of your life? A profile of Jazz/contemporary voice graduates, Int J Music Educ, 36, 2, 197-216 (2018) |
| [16] | Solow, R. M., Technical change and the aggregate production function, Rev Econ Stat, 39, 3, 312 (1957) |
| [17] | Borowiecki, K. J., Historical origins of cultural supply in Italy, Oxf Econ Pap, 67, 3, 781-805 (2015) |
| [18] | Bennett, D., Creative migration: A western Australian case study of creative artists, Aust Geogr, 41, 1, 117-128 (2010) |
| [19] | Hautala, J.; Nordström, P., Creative city, mobility, and creativity: Finnish artists in Berlin, Mobilities, 14, 6, 859-874 (2019) |
| [20] | Montalto, V.; Moura, C.; Panella, F.; Alberti, V.; Saisana, M., The cultural and creative cities monitor - 2019 edition (2019), Publications Office of the European Union: Publications Office of the European Union Luxembourg (Luxembourg) |
| [21] | Kyurkchiev, N.; Markov, S., Sigmoid functions: some approximation and modelling aspects some moduli in programming environment mathematica (2015), LAP Lambert Academic Publishing |
| [22] | Bischi, G. I.; Merlone, U., Global dynamics in binary choice models with social influence, J Math Sociol, 33, 4, 277-302 (2009) · Zbl 1183.91046 |
| [23] | Bischi, G. I.; Gardini, L.; Merlone, U., Impulsivity in binary choices and the emergence of periodicity, Discrete Dyn Nat Soc, 2009 (2009) · Zbl 1178.37129 |
| [24] | Bischi, G. I.; Gardini, L.; Merlone, U., Periodic cycles and bifurcation curves for one-dimensional maps with two discontinuities, J Dyn Syst Geom Theor, 7, 2, 101-123 (2009) · Zbl 1183.37095 |
| [25] | Dal Forno, A.; Merlone, U., Heterogeneous society in binary choices with externalities, Dynam Games Appl, 9, 2, 433-457 (2019) · Zbl 1429.91045 |
| [26] | Hofbauer, J.; Sigmund, K., Evolutionary game dynamics, Bull Amer Math Soc, 40, 4, 479-519 (2003) · Zbl 1049.91025 |
| [27] | Busemeyer, J. R.; Bruza, P. D., Quantum models of cognition and decision (2012), Cambridge University Press: Cambridge University Press Cambridge, UK |
| [28] | Avriel, M.; Diewert, W.; Schaible, S.; Ziemba, W., Introduction to concave and generalized concave functions, (Sigfried, S.; William, Z., Generalized concavity in optimization and economics (1981), Academic Press: Academic Press New York, NY), 21-50 · Zbl 0539.90087 |
| [29] | Avrutin, V.; Gardini, L.; Sushko, I.; Tramontana, F., Continuous and discontinuous piecewise-smooth one-dimensional maps (2019), World Scientific · Zbl 1452.37002 |
| [30] | Banerjee, S.; Karthik, M. S.; Yuan, G.; Yorke, J. A., Bifurcations in one-dimensional piecewise smooth maps-theory and applications in switching circuits, IEEE Trans Circuits Syst I, 47, 3, 389-394 (2000) · Zbl 0968.37013 |
| [31] | Maistrenko, Y. L.; Maistrenko, V. L.; Chua, L. O., Cycles of chaotic intervals in a time-delayed Chua’s circuit, Int J Bifur Chaos Appl Sci Eng, 3, 6, 1557-1572 (1993) · Zbl 0890.58052 |
| [32] | Maistrenko, Y. L.; Maistrenko, V. L.; Vikul, S. I.; Chua, L. O., Bifurcations of attracting cycles from time-delayed Chua’s circuit, Int J Bifur Chaos Appl Sci Eng, 5, 3, 653-671 (1995) · Zbl 0885.58059 |
| [33] | Maistrenko, Y. L.; Maistrenko, V. L.; Vikul, S. I., On period-adding sequences of attracting cycles in piecewise linear maps, Chaos Solitons Fractals, 9, 1, 67-75 (1998) · Zbl 0934.37034 |
| [34] | Leonov, N. N., Map of the line onto itself, Radiofisica, 3, 3, 942-956 (1959) |
| [35] | Leonov, N. N., On a discontinuous point transformation of the line into the line, Dokl Akad Nauk SSSR, 143, 5, 1038-1041 (1962) · Zbl 0137.28903 |
| [36] | Mira, C., Sur la structure des bifurcations des difféomorphismes du cercle, C R Hebd Séances L’Académie Sci Ser A, 287, 13, 883-886 (1978) · Zbl 0396.58018 |
| [37] | Mira, C., Chaotic dynamics: from the one-dimensional endomorphism to the two-dimensional diffeomorphism (1987), World Scientific: World Scientific Singapore · Zbl 0641.58002 |
| [38] | Harper, G.; Cotton, C.; Benefield, Z., Nashville music industry: impact, contribution and cluster analysis (2012), Nashville Area Chamber of Commerce |
| [39] | Zwaan, K.; ter Bogt, T. F.; Raaijmakers, Q., Career trajectories of Dutch pop musicians: A longitudinal study, J Vocat Behav, 77, 1, 10-20 (2010) |
| [40] | Vaag, J.; Giæver, F.; Bjerkeset, O., Specific demands and resources in the career of the Norwegian freelance musician, Arts Health, 6, 3, 205-222 (2014) |
| [41] | Alfarone, I.; Merlone, U., The show must go on: Pandemic consequences on musicians’ job insecurity perception, Psychol Music, 50, 6, 1976-2000 (2022) |
| [42] | Office for National Statistics (UK), I., Estimated number of musicians in the United Kingdom from 2010 to 2021 (in 1,000s) (2021), Statista, https://www.statista.com/statistics/319278/number-of-musicians-in-the-uk/ |
| [43] | Montalto, V.; Panella, F.; Sacco, P. L., What does brexit mean for UK cultural and creative cities?, Eur Urban Reg Stud, 28, 1, 47-57 (2021) |
| [44] | Brexit and the UK live music industry, (Homan, S., The bloomsbury handbook of popular music policy (2022), Bloomsbury), 321-332 |
| [45] | Hall, S. A., Russian ballet and music performances cancelled as arts venues voice support for Ukraine (2022), https://www.classicfm.com/music-news/russian-ballet-music-cancelled-ukraine-support/ |
| [46] | Bischi, G. I.; Merlone, U., Evolutionary minority games with memory, J Evol Econ, 27, 5, 859-875 (2017) |
| [47] | Bischi, G. I.; Merlone, U.; Pruscini, E., Evolutionary dynamics in club goods binary games, J Econom Dynam Control, 91, 104-119 (2018) · Zbl 1401.91270 |
| [48] | Dal Forno, A.; Gronchi, G.; Merlone, U., Binary choices dynamics with quantum decision, J Math Psych, 101, Article 102509 pp. (2021) · Zbl 1471.91098 |
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