Optimality conditions for distributive justice

International Transactions in Operational Research

Volumn 17, Issue 4, 2010, Pages 485-505

  Hooker, J N ^a  

^a CARNEGIE MELLON UNIVERSITY   (United States)

Author keywords

Distributive justice; Lexicographic maximum; Rawlsian ethics; Utilitarianism

Indexed keywords

EID: 84883129124     PISSN: 09696016     EISSN: 14753995     Source Type: Journal    
DOI: 10.1111/j.1475-3995.2009.00742.x     Document Type: Article

References (25)

1. Betts, L.M., Brown, J.R., Luss, H., 1994. Minimax resource allocation problems with ordering constraints. Naval Research Logistics 41, 719–738.
2. Blackorby, C., Bossert, W., Donaldson, D., 2002. Utilitarianism and the theory of justice. In Arrow, K., Sen, A., Suzumura, K. (eds) Handbook of Social Choice and Welfare, Vol. 1, volume 19 of Handbooks in Economics. Elsevier, Amsterdam, pp. 543–596.
3. Bouveret, S., Lemaitre, M., 2006. Finding leximin-optimal solutions using constraint programming: new algorithms and their application to combinatorial auctions. In Endriss, U., Lang, J. (eds) 1st International Workshop on Computational Social Choice. Institute for Logic, Language and Computation, University of Amsterdam, 49–62, Available at http://staff.science.uva.nl/ulle/COMSOC-2006/comsoc2006.pdf.
4. Brown, J.R., 1979. The knapsack sharing problem. Operations Research 27, 341–355.
5. Brown, J.R., 1983. The flow circulation sharing problem. Mathematical Programming 25, 199–227.
6. Daniels, N., 1989. Reading Rawls: Critical Studies on Rawls' “A Theory of Justice”. Stanford University Press, Palo Alto, CA.
7. Daskin, M.S., 1995. Network and Discrete Location: Models, Algorithms, and Applications. Wiley, New York.
8. Dworkin, R., 1977. Taking Rights Seriously. Harvard University Press, Cambridge, MA.
9. Eiselt, H.A., 1986. Continuous maximin knapsack problems with GLB constraints. Mathematical Programming 13, 114–121.
10. Hall, N.G., Vohra, R.V., 1993. Towards equitable distribution via proportional equity constraints. Mathematical Programming 58, 287–294.
11. Isermann, H., 1982. Linear lexicographic optimization. OR Spektrum 123, 223–228.
12. Katoh, N., Ibaraki, T., 1998. Resource allocation problems. In Du, D.-Z., Pardalos, P.M. (eds) Handbook of Combinatorial Optimization, Vol. 2. Kluwer, Dordrecht, pp. 159–260.
13. Luss, H., 1999. On equitable resource allocation problems: a lexicographic minimax approach. Operations Research 47, 361–378.
14. Matt, P.-A., Toni, F., Dionysiou, D., 2006. The distributed negotiation of egalitarian allocations. In Endriss, U., Lang, J. (eds) 1st International Workshop on Computational Social Choice. Institute for Logic, Language and Computation, University of Amsterdam, 304–316, Available at http://staff.science.uva.nl/ulle/COMSOC-2006/comsoc2006.pdf.
15. Ogryczak, W., 2006. Bicriteria models for fair resource allocation. In Endriss, U., Lang, J. (eds) 1st International Workshop on Computational Social Choice. Institute for Logic, Language and Computation, University of Amsterdam, 380–393, Available at http://staff.science.uva.nl/ulle/COMSOC-2006/comsoc2006.pdf.
16. Ogryczak, W., 1997. On the lexicographic minimax approach to location problems. European Journal of Operational Research 100, 218–223.
17. Rawls, J., 1971. A Theory of Justice. Harvard University Press, Cambridge, MA.
18. Rawls, J., 1993. Political Liberalism, Vol. 4, the John Dewey Essays in Philosophy. Columbia University Press, New York.
19. Rawls, J., 1999. The Law of Peoples. Harvard University Press, Cambridge, MA.
20. Roberts, K., 1980. Interpersonal comparability and social choice theory. Review of Economic Studies 47, 421–439.
21. Roemer, J.E., 1998. Theories of Distributive Justice. Harvard University Press, Cambridge, MA.
22. Sen, A., 2004. Rationality and Freedom. Belknap Press, Cambridge, MA.
23. Stein, M.S., 1989. Distributive Justice and Disability: Utilitarianism Against Egalitarianism. Stanford University Press, Palo Alto, CA.
24. Williams, A., Cookson, R., 2000. Equity in health. In Culyer, A.J., Newhouse, J.P. (eds) Handbook of Health Economics, Vol. 1. Elsevier, Amsterdam, pp. 1863–1910.
25. Yaari, M.E., Bar-Hillel, M., 1984. On dividing justly. Social Choice and Welfare 1, 1–24.