Skip to main content
SpringerLink
Log in

A Diagrammatic Exposition of Justice

  • Chapter
Game Theory, Social Choice and Ethics

  • 327 Accesses

Abstract

Several different analytical theories of justice are analyzed in the context of a uniform diagrammatic exposition. The diagrams make use of ordinary economic tools of analysis - production possibility frontiers and indifference curves. Additionally, numerous propositions are set forth which establish either the critical differences between alternative theories, or the conditions under which different theories yield identical results.

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

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  • Arrow, K. J.: 1977, ‘Extended sympathy and the possibility of social choice’, American Economic Review 67, pp. 219–225.

    Google Scholar 

  • Atkinson, A. B.: 1970, ‘On the measurement of inequality’, Journal of Economic Theory 2, pp. 244–263.

    Article  Google Scholar 

  • Barry, B.: 1973, The Liberal Theory of Justice (Clarendon Press, Oxford).

    Google Scholar 

  • Barry, B. and D. W. Rae: 1975, ‘Political evaluation’, in N. Polsby and F. Greenstein (eds.), The Handbook of Political Science, Vol. 1 (Addison Wesley).

    Google Scholar 

  • Becker, E.: 1975, ‘Justice, utility and interpersonal comparisons’, Theory and Decision 6, pp. 471–484.

    Article  Google Scholar 

  • Bentham, J.: 1838–43b, ‘Introduction to the principles of morals and legislation’, Works, Vol. 1.

    Google Scholar 

  • Blackorby, C.: 1975, ‘Degrees of cardinality and aggregate partial ordering’, Econo- metrica 43, pp. 845–852.

    Google Scholar 

  • Blackorby, C. and D. Donaldson: 1977, ‘Utility vs. equity; Some plausible quasi- orderings’, Journal of Public Economics 7, pp. 365–381.

    Article  Google Scholar 

  • Blackorby, C. and D. Donaldson: 1978, ‘Measures of equality and their meaning in terms of social welfare’, Journal of Economic Theory 18, pp. 59–80.

    Article  Google Scholar 

  • Brock, H. W.: 1979, ‘A game theoretic account of social justice’, appearing in the present double issue of Theory and Decision.

    Google Scholar 

  • Buchanan, J. M. and G. Tullock: 1962, The Calculus of Consent (The University of Michigan Press, Ann Arbor).

    Google Scholar 

  • Daniel, T. E.: 1975, ‘A revised concept of distributional equity’, Journal of Economic Theory 71 (1), pp. 94–109.

    Article  Google Scholar 

  • D’Aspremont, C. and L. Gevers: 1977, ‘Equity and the informational basis of collective choice’, Reveiw of Economic Studies 46, pp. 199–210.

    Article  Google Scholar 

  • Deschamps, R. and L. Gevers: (forthcoming), ‘Leximin and utilitarian rules: A joint characterization’, Journal of Economic Theory.

    Google Scholar 

  • Diamond, P.: 1967, ‘Cardinal welfare, individualistic ethics and interpersonal comparisons of utility: A comment’, Journal of Political Economy 61, pp. 765–766.

    Article  Google Scholar 

  • Feldman, A. and A. Kirman: 1974, ‘Fairness and envy’, American Economic Review 64, pp. 995–1005.

    Google Scholar 

  • Fine, B.: 1956, ‘A note on “Interpersonal comparisons and partial comparability”,’ Econometrica 43, pp. 169–172.

    Article  Google Scholar 

  • Fleming, M.: 1973, ‘A cardinal concept of welfare’, in E. S. Phelps (ed.), Economic Justice (Penguin Books, Harmondsworth), pp. 245–265. First published: Quarterly Journal of Economics, Vol. 66,1952, October.

    Google Scholar 

  • Friedman, M.: 1962, Capitalism and Freedom (University of Chicago Press, Chicago).

    Google Scholar 

  • Hammond, P.: 1977, ‘Dual interpersonal comparisons of utility and the welfare economics of income distribution’, Journal of Public Economics 7 (1), pp. 51–73.

    Article  Google Scholar 

  • Hammond, P. J.: 1976a, ‘Equity, Arrow’s conditions and Ra wis’ difference principle’, Econometrica 44, pp. 793–804.

    Article  Google Scholar 

  • Hammond, P. J.: 1976b, ‘Why ethical measures of inequality need interpersonal comparisons’, Theory and Decision 7, pp. 263–274.

    Article  Google Scholar 

  • Harsanyi, J. C.: 1953, ‘Cardinal utility in welfare economics and in the theory of risk- taking’, Journal of Political Economy 61, pp. 434–435.

    Article  Google Scholar 

  • Harsanyi, J. C.: 1955a, ‘Cardinal welfare, individualistic ethics and interpersonal comparisons of utility’, Journal of Political Economy 63, pp. 309–321.

    Article  Google Scholar 

  • Harsanyi, J. C.: 1975b, ‘Non-linear social welfare functions, or Do welfare economists have a special exemption from Bayesian rationality’, Theory and Decision 6, pp. 311–332.

    Article  Google Scholar 

  • Harsanyi, J. C.: 1975b, ‘Can the maximin principle serve as a basis for morality: A critique of John Rawls’s theory’, American Political Science Review 69,pp. 594–606.

    Article  Google Scholar 

  • Kolm, S. C.: June 1976, ‘Unequal inequalities 1’, Journal of Economic Theory 12 (3), pp. 416–442.

    Article  Google Scholar 

  • Kolm, S. C.: August 1976, ‘Unequal inequalities 2’, Journal of Economic Theory 13, pp. 82–111.

    Article  Google Scholar 

  • Locke, J.: 1960, Two Treatises of Government, P. Laslett, Intro, and Notes (New American Library, New York).

    Google Scholar 

  • Maskin, E.: 1978, ‘A theorem on utilitarianism’, Review of Economic Studies 45, pp.93–96.

    Article  Google Scholar 

  • Mill, J. S.: 1867, Utilitarianism, 3rd edition.

    Google Scholar 

  • Mueller, D. C.: 1975, ‘Uncertainty, information, and redistributive justice’, Draft (Cornell University (mimeo)).

    Google Scholar 

  • Mueller, D., R. Tollison, and T. Willett: 1976, The utilitarian contract: A generalization of Rawls’ theory of justice’, in R. C. Amacher, R. D. Tollison, and T. D. Willett (eds.), The Economic Approach to Public Policy, (Cornell University Press, Ithaca), pp. 313–333.

    Google Scholar 

  • Musgrave, R.: 1974, ‘Maximin, uncertainty and the leisure trade off’, Quarterly Journal of Economics 88, pp. 625–632.

    Article  Google Scholar 

  • Nash, J. F.: 1950, ‘The bargaining problem’, Econometrica 18, pp. 155–162.

    Article  Google Scholar 

  • Nash, J. F.: 1953, ‘Two-person cooperative games’, Econometrica 21, pp. 128–140.

    Article  Google Scholar 

  • Pattanaik, P. K.: 1973, ‘Risk, impersonality and the social welfare function’, in E. S. Phelps (ed.), Economic Justice (Penguin Books, Inc., Harmondsworth), pp. 298–318. First published: Journal of Political Economy, December, 1968.

    Google Scholar 

  • Pazner, E. A.: 1977, ‘Pitfalls in the theory of fairness’, Journal of Economic Theory 14 (2), pp. 458–466.

    Article  Google Scholar 

  • Pazner, E. A. and D. Schmeidler: 1976, ‘Social contract theory and ordinal distributive equity’, Journal of Public Economics 5 (3–4), pp. 261–268.

    Article  Google Scholar 

  • Phelps, E. S.: 1973, Economic Justice (Penguin, Harmondsworth).

    Google Scholar 

  • Rae D.: 1975, ‘Maximin justice and an alternative principle of general advantage’, American Political Science Review 69 (2), pp. 630–647.

    Article  Google Scholar 

  • Rawls, J.: 1958, ‘Justice as fairness’, Philosophical Review 67.

    Google Scholar 

  • Rawls, J.: 1971, A Theory of Justice (Harvard University Press, Cambridge, Mass., and Clarendon Press, Oxford).

    Google Scholar 

  • Rawls, J.: 1974, ‘Reply to Musgrave’, Quarterly Journal of Economics 88, pp. 633–655.

    Article  Google Scholar 

  • Roberts, K. W.: forthcoming, ‘Interpersonal comparability and social choice theory’, Review of Economic Studies.

    Google Scholar 

  • Rousseau, J. J.: 1954, The Social Contract (Henry Regnery Co., Chicago), W. Kendall, trans, and introduction.

    Google Scholar 

  • Schmeidler, D. and K. Vind: 1972, ‘Fair net trades’, Econometrica 40, pp. 637–642.

    Article  Google Scholar 

  • Sen, A. K.: 1970, Collective Choice and Social Welfare (Holden Day, San Francisco, and Oliver & Boyd, Edinburgh).

    Google Scholar 

  • Sen, A. K.: 1973, On Economic Inequality (Clarendon Press, Oxford, and Norton, New York).

    Google Scholar 

  • Sen, A. K.: 1976a, ‘Poverty: An ordinal approach to measurement’, Econometrica 44, pp. 219–231.

    Article  Google Scholar 

  • Sen, A. K.: 1976b, ‘Welfare inequalities and Rawlsian axiomatics’, Theory and Decision 7, pp. 243–262; also in R. Butts and J. Hintikka (eds.), Logic, Methodology and Philosophy of Science (Reidel, Dordrecht, 1976).

    Google Scholar 

  • Sen, A. K.: 1977a, ‘Non-linear social welfare functions: A reply to Professor Harsanyi’, in R. Butts and J. Hintikka (eds.), Logic, Methodology and Philosophy of Science (Reidel, Dordrecht).

    Google Scholar 

  • Sen, A. K.: 1977b, ‘On weights and measures: Informational constraints in social welfare analysis’, Econometrica 45 (7), pp. 1539–1572.

    Article  Google Scholar 

  • Shapley, L. S.: 1953, ‘A value for n-person games’, in H.W. Kuhn and A.W. Tucker (eds.), Contributions to the Theory of Games II, Annals of Mathematics Studies 28 (Princeton University Press, Princeton).

    Google Scholar 

  • Sneed, J. D.: 1975, ‘Some consequences of Rawlsean justice in simple economies’, Seminar für Philosophie, Logik und Wissensehaftstheorie, Universität München, September 20,1975.

    Google Scholar 

  • Strasnick, S.: forthcoming, ‘Social choice theory and the derivation of Rawls’ difference principle’, Journal of Philosophy.

    Google Scholar 

  • Suppes, P.: 1966, ‘Some formal models of grading principles’, Synthese 6, pp. 284–306; reprinted in P. Suppes, Studies in the Methodology and Foundations of Science (Reidel, Dordrecht, 1969).

    Article  Google Scholar 

  • Varian, H.: 1974, ‘Equity, envy and efficiency’, Journal of Economic Theory 9, pp. 63–91.

    Article  Google Scholar 

  • Varian, H.: 1975, ‘Distributive justice, welfare economics and the theory of fairness’, Philosophy and Public Affairs 4, pp. 223–247.

    Google Scholar 

  • Varian, H. R.: 1976a, ‘Two problems in the theory of fairness’, Journal of Public Economics 5, pp. 249–260.

    Article  Google Scholar 

  • Varian, H. R.: 1976b, ‘On the history of concepts of fairness’, Journal of Economic Theory 13(3), pp. 487–7.

    Article  Google Scholar 

  • Wittman, D.: 1974, ‘Punishment as retribution’, Theory and Decision 4, pp. 209–237.

    Article  Google Scholar 

Download references

Authors
  1. Donald Wittman
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

H. W. Brock

Rights and permissions

Reprints and permissions

Copyright information

© 1979 D. Reidel Publishing Co., Dordrecht, Holland, and Boston, U.S.A.

About this chapter

Cite this chapter

Wittman, D. (1979). A Diagrammatic Exposition of Justice. In: Brock, H.W. (eds) Game Theory, Social Choice and Ethics. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-9532-1_5

Download citation

  • DOI: https://doi.org/10.1007/978-94-009-9532-1_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-009-9534-5

  • Online ISBN: 978-94-009-9532-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation