Skip to main content

Partially Ordered Set Theory and Sen’s Capability Approach: A Fruitful Relationship

  • Chapter
  • First Online:
Partial Order Concepts in Applied Sciences

Abstract

The aim of this work is to analyse the epistemological and methodological aspects of the links between the Partial Order Set (POSET) theory and Sen’s Capability Approach (CA). CA is one of the best-known approaches to well-being and development analysis, founded by the Nobel Laureate Amartya Sen. If the theoretical bases of CA are sound, the empirical aspects have yet to be fully explored. The complexity of CA empirical verifications involves the requirement of statistical and econometric instruments to tackle: “a plurality of evaluative spaces; a plurality of dimensions and a multiplicity of indicators and scales of a quantitative or qualitative nature, and objectively or subjectively measured; a plurality of units of analysis (individuals, households, subgroups of population) and personal heterogeneities and a plurality of environmental contexts, including socio-economic, geographical, cultural and institutional variables” (Chiappero-Martinetti and Roche 2009, p. 5).

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.

    “Being able to live with concern for and in relation to animals, plants, and the world of nature” (Nussbaum 2003, p. 42).

  2. 2.

    Sen’s poverty index is equal to \( {P}_{\mathrm{S}}={P}_0\Big(1-\left(1-G\right)\left(\mu /z\right)\Big) \) where P 0, G, μ, z represent the headcount index, the mean income of the poor, the Gini coefficient of inequality across the poor and the poverty line, respectively (Sen 1976).

  3. 3.

    “In comparing across class barriers, or in contrasting the living conditions of the very rich with those of the very poor, or in assessing social change accompanied by progress (or regress) in all fronts, the dominance partial order may indeed give many unequivocal judgments of the ranking of overall living standard” (Sen 1987 p. 40).

  4. 4.

    “These two considerations—relevance and usability—pull us, to some extent, in different directions. Relevance may demand that we take on board the inherent complexities of the idea of the living standard as fully as possible, whereas usability may suggest that we try to shun complexities if we reasonably can. Relevance wants us to be ambitious; usability urges restraint.” (Sen 1987 p. 27).

References

  • Agee TD, Crocker MD (2013) Operationalizing the capability approach to assessing well-being. J Socio-Econ 46:80–86

    Article  Google Scholar 

  • Alkire S, Foster JE (2011a) Counting and multidimensional poverty measurement. J Public Econ 95(7–8):476–487

    Article  Google Scholar 

  • Alkire S, Foster JE (2011b) Understandings and misunderstandings of multidimensional poverty measurement. J Econ Inequal 9:289–314

    Article  Google Scholar 

  • Anand S, Sen A (1997) Concepts of human development and poverty: a multidimensional perspective. Human development report background paper

    Google Scholar 

  • Anand P, van Hees M (2006) Capabilities and achievements: an empirical study. J Socio-Econ 35:268–284

    Article  Google Scholar 

  • Anand P, Krishnakumar J, Tran NB (2011) Measuring welfare: latent variable models for happiness and capabilities in the presence of unobservable heterogeneity. J Public Econ 95:205–215

    Article  Google Scholar 

  • Binder M (2013) Subjective wellbeing capabilities: bridging the gap between the capability approach and subjective wellbeing research. Papers on economics and evolution 2013-02

    Google Scholar 

  • Casadio Tarabusi E, Guarini G (2013) An unbalance adjustment method for development indicators. Soc Indic Res 112(1):19–45

    Article  Google Scholar 

  • Casadio Tarabusi E, Guarini G (2016) Level dependence of the adjustment for unbalance and inequality for the human development index. Soc Indic Res 126:527–553

    Article  Google Scholar 

  • Chiappero-Martinetti E, Roche JM (2009) Operationalization of the capability approach, from theory to practice: a review of techniques and empirical applications. In: Chiappero-Martinetti E (ed) Debating global society: reach and limits of the capability approach. Fondazione Giangiacomo Feltrinelli, Milan

    Google Scholar 

  • Fattore M (2015) Partially ordered sets and the measurement of multidimensional ordinal deprivation. Social Indic Res. doi:10.1007/s11205-015-1059-6

  • Fattore M, Maggino F, Greselin F (2011) Socio-economic evaluation with ordinal variables: integrating counting and POSET approaches. Statistica & Applicazioni, special issue, pp 31–42

    Google Scholar 

  • Fattore M, Maggino F, Colombo E (2012) From composite indicators to partial orders: evaluating socio-economic phenomena through ordinal data. In: Maggino F, Nuvolati G (eds) Quality of life in Italy: researches and reflections. Springer, Amsterdam, pp 41–67

    Chapter  Google Scholar 

  • Fattore M, Maggino F, Arcagni A (2015) Exploiting ordinal data for subjective wellbeing evaluation. Statistics in transition new series—special issue, pp 1–20

    Google Scholar 

  • Krishnakumar J (2007) Going beyond functionings to capabilities: an econometric model to explain and estimate capabilities. J Hum Dev 8(1):39–63

    Article  Google Scholar 

  • Martins NO (2011) The revival of classical political economy and the Cambridge tradition: from scarcity theory to surplus theory. Rev Pol Econ 23(1):111–131

    Article  Google Scholar 

  • Martins NO (2012) Sen, Srafaa and the revival of classical political economy. J Econ Methodol 19(2):143–157

    Article  Google Scholar 

  • Nussbaum MC (2003) Capabilities as fundamental entitlements: Sen and social justice. Fem Econ 9(2–3):33–59

    Article  Google Scholar 

  • Robeyns I (2005) The capability approach: a theoretical survey. J Hum Dev 6(1):93–117

    Article  Google Scholar 

  • Robeyns I (2006) The capability approach in practice. J Polit Philos 14(3):351–376

    Article  Google Scholar 

  • Rothschild E, Sen A (2006) Adam Smith’s economics. In: Haakonssen K (ed) The Cambridge companion to Adam Smith. Cambridge University Press, Cambridge

    Google Scholar 

  • Sen A (1976) Poverty: an ordinal approach to measurement. Econometrica 44(2):219–231

    Article  Google Scholar 

  • Sen A (1983) Poor relatively speaking. Oxford economic papers, new series 35(2):153–169

    Google Scholar 

  • Sen A (1985) Commodities and capabilities. North-Holland, Amsterdam

    Google Scholar 

  • Sen A (1987) The standard of living. Tanner lectures. Oxford University Press, New Delhi, pp 1–51

    Google Scholar 

  • Sen A (1989) Development as capability expansion. J Dev Plan 19:41–58

    Google Scholar 

  • Sen A (1991) The standard of living. Cambridge University Press, Cambridge

    Google Scholar 

  • Sen A (1992) Inequality reexamined. Clarendon, Oxford

    Google Scholar 

  • Sen A (1997) Inequality, unemployment and contemporary Europe. Int Labour Rev 136(2):155–171

    Google Scholar 

  • Sen A (1999) The possibility of social choice. Am Econ Rev 89:349–378

    Article  Google Scholar 

  • Sen A (2004) Economic methodology: heterogeneity and relevance. Soc Res 71(3):583–614, originally published in Social Research 56(2), 1989

    Google Scholar 

  • Sen A (2005) Human rights and capabilities. J Hum Dev 6(2):151–166

    Article  Google Scholar 

  • Stewart F (2005) Groups and capabilities. J Hum Dev 6(2):185–204

    Article  Google Scholar 

  • UNDP (1999) Globalisation with human face. Human Development Report, New York

    Google Scholar 

Download references

Acknowledgements

I wish to thank Enrico Casadio Tarabusi and Marco Marini for their precious suggestions and the referee for his important comments. Any errors or inaccuracies are my responsibility alone.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Giulio Guarini .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2017 Springer International Publishing AG

About this chapter

Cite this chapter

Guarini, G. (2017). Partially Ordered Set Theory and Sen’s Capability Approach: A Fruitful Relationship. In: Fattore, M., Bruggemann, R. (eds) Partial Order Concepts in Applied Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-45421-4_12

Download citation

Publish with us

Policies and ethics