We interpret solution rules on a class of simple allocation problems as data on the choices of a policy maker. We analyze conditions under which the policy maker’s choices are (i) rational (ii) transitive-rational, and (iii) representable; that is, they coincide with maximization of a (i) binary relation, (ii) transitive binary relation, and (iii) numerical function on the allocation space. Our main results are as follows: (i) a well-known property, contraction independence (a.k.a. IIA) is equivalent to rationality; (ii) every contraction (...) independent and other-c monotonic rule is transitive-rational; and (iii) every contraction independent and other-c monotonic rule, if additionally continuous, can be represented by a numerical function. (shrink)
We propose and axiomatically analyze a class of rational solutions to simple allocation problems where a policy-maker allocates an endowment $E$ among $n$ agents described by a characteristic vector c. We propose a class of recursive rules which mimic a decision process where the policy-maker initially starts with a reference allocation of $E$ in mind and then uses the data of the problem to recursively adjust his previous allocation decisions. We show that recursive rules uniquely satisfy rationality, c-continuity, and other-c (...) monotonicity. We also show that a well-known member of this class, the Equal Gains rule, uniquely satisfies rationality, c-continuity, and equal treatment of equals. (shrink)
In this paper an attempt is made to provide an analysis of the meaning of the term function and related terms as they are used by R. K. Merton in the first chapter of his book Social Theory and Social Structure. Several problems are suggested which must be solved if statements about functions are to be considered scientifically adequate. Secondly the term functionalism is defined and several of Merton's functionalist explanations of social phenomena are stated and criticized.
For those to whom John Bowring's name means anything, the most likely association with it is the complex and question-begging term ‘Benthamite’. Contemporaries certainly used the term, particularly when they wanted to suggest that his actions were narrowly ideological or theoretical. But to some of Bowring's contemporaries another association served hostile intent almost as well: his Unitarianism.
A project of the Gandhi Centennial Committee of Southern Illinois University, the book outlines the basic tenets of Gandhian philosophy as interpreted by Western thinkers, deals with problems of American education, and offers some reflections on what kinds of solutions may be posed by educators, primarily at the university level. The Foreword and Epilogue are by two distinguished Indian educators, _K. L. Shrimali_, Vice-chancellor, and _N. A. Nikam_, former Vice-chancellor, University of Mysore.
This paper responds to Shashi Tharoor’s criticism that “much of Narayan’s prose reads like a translation.” He does not name any writers in another language to back up his claim and without doing so there is an explanation for his impression, but one which leaves it looking misleading.