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A concept of constrained egalitarianism in fair division problems
(Indian Institute of Management Ahmedabad, 1998-10-01)
This paper is really a modification of a paper by Diamantaras and Thomson (1990). In that paper, the no-envy concept due to Foley (1967) was refined to accommodate some kind of a radial) no-envy comparison, inspired by ...
Axiomatic characterization of budget constrained Pareto efficient social choice for fair division problems
(Indian Institute of Management Ahmedabad, 1998-11-01)
In this paper, we axiomatically characterize the social choice correspondence, which picks for each economy, the set of equal income budget constrained Pareto efficient allocations. We are able to characterize this social ...
Path independence and choice acyclicity property
(Indian Institute of Management Ahmedabad, 1998-08-01)
In this paper we study lower and upper approximations of choice functions and propose a necessary and sufficient condition for a choice function to have a path independent lower approximation. In an appendix to this paper ...
Reducing a multi stage vector optimization problem to a single stage vector optimization problem
(Indian Institute of Management Ahmedabad, 1998-12-01)
In this paper we study the problem of universally reducing a multistage vector optimization problem to a one-stage vector optimization problem. This paper draws heavily and modifies on results obtained in Aixerman and ...