Fair Division and Equity Bibliography (9/6/99)

Prepared by:

Joseph Malkevitch
Mathematics and Computing Department
York College (CUNY)
Jamaica, New York 11451-0001

Email: malkevitch@york.cuny.edu (for additions, suggestions, and corrections)

Arrow, K., Collected Papers, Volume 1: Social Choice and Justice, Harvard U. Press, Cambridge, 1983.

Atkinson, A., On the measurement of inequality, J. of Economic Theory, 2 (1970) 244-63.

Atkinson, A., The Economics of Inequality, Oxford U. Press, l975.

Aumann, R. and M. Maschler, Game theoretic analysis of a bankruptcy problem from the Talmud, J. of Economic Theory 36 (1085) 195-213.

Balinski, M. and H. Young, Fair Representation, Yale University Press, New Haven, 1982.

Beck, A., Constructing a fair border, American Math. Monthly 94 (1987) 157-162.

Bennett, S. and et al,, Fair Divisions: Getting Your Share, HIMAP Module 9, COMAP (Consortium for Mathematics and its Applications), Lexington, 1987.

Brams, S. and A. Taylor, Fair Division, Cambridge U. Press, 1996.

Crawford, V., and W. Heller, Fair division with indivisible commodities, J. of Economic Theory 21 (1979) 10-27.

Davies, J. and M. Hoy, Making inequality comparisons when Lorenz curves intersect, The American Economic Review, 85 (1995) 980-986.

Dasgupta, P., On some problems arising from Professor Rawls' conception of distributive justice, Theory and Decision, 4 (1974) 325-344.

Dubins, L., and E. Spanier, How to cut a cake fairly, American Math. Monthly 68 (1961) 1-17.

Engelbrecht-Wiggens, On the fair and efficient allocation of divisible commodities, Technical Report 536, School of Operations Research and Industrial Engineering, Cornell, 1977.

Feldman, A. and A. Kirman, Fairness and envy, American Economic Review, 29 (1974) 995-1005.

Fink, A., A note on the fair division problem, Mathematics Magazine 37 (1964) 341-342.

Hill, T., Determining a fair border, American Mathematical Monthly 90 (1983) 438-442.

Moriarity, S., (ed.), Joint Cost Allocation, Center for Economic and Management Research, Norman, 1981.

Moulin, H., Axioms of Cooperative Decision Making, Cambridge U. Press, New York, 1988.

Moulin, H. and W. Thomson, Axomatic Analysis of Resource Allocation, Rochester Center for Economic Research , Working Paper 400, 1995.

O'Neill, B., A problem of rights arbitration from the Talmud, Mathematical Social Sciences 2 (1982) 345-371.

Rabin, M., Incorporating fairness into game theory and economics, The Amer. Economic Review, 85 (1993) 1281-1302.

Rawls, J., A Theory of Justice, Harvard U. Press, Cambridge, 1971.

Rebman, K., How to get (at least) a fair share of the cake, in Mathematical Plums, R. Honsberger (ed.), Mathematical Association of America, Washington, 1979, p. 22-37.

Samuelson, W., Dividing coastal waters, J. Conflict Resolution 29 (1985) 83-111.

Sen, A., On Economic Inequality, Oxford U. Press, Oxford, 1973.

Sen, A., Inequality Revisited, Harvard U. Press, Cambridge, 1992.

Steinhaus, H., The problem of fair division, Econometria 16 (1948) 101-104.

Tadenuma, K. and W. Thomson, Games of fair division, Games and Economic Behavior 9 (1995) 191-204.

Thaler, R., The Winner's Curse, The Free Press, New York, 1992.

Thomson, W., The fair division of a fixed supply among a growing population, Math. of Operations Research, 8 (1983) 319-326.

Thomson, W., "Divide and permute" and the implementation of solutions to the problem of fair divison, Rochester Center for Economic Research, Working Paper 360, 1993.

Thomson, W., Resource-monotonic solutions to the problem of fair divsion when preferences are single-peaked, Social Choice and Welfare 11 (1994) 205-223.

Thomson, W., Consistent Allocation Rules, Rochester Center for Economic Research, Working Paper 418, 1996.

Woodall, D., A note on the cake-division problem, J. Comb. Theory (A) 42 (1986) 300-301.

Yaari, M. and M. Bar-Hillel, On dividing justly, Social Choice and Welfare, 1 (1984) 1-24.

Young, H.,(ed.), Fair Allocation, American Mathematical Society, Providence, 1985.

Young, H., (ed.), Cost Allocation: Methods, Principles, Applications, North-Holland, Amsterdam, 1985.

Young, H., On dividing an amount according to individual claims or liabilities, Math. of Operations Research, 12 (1987) 398-414.

Young, H., Equity, Princeton U. Press, Princeton, 1994.


This work was prepared with partial support from the National Science Foundation (Grant Number: DUE 9555401) to the Long Island Consortium for Interconnected Learning (administered by SUNY at Stony Brook).

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