Browsing Working Papers by Author "Lahiri, Somdeb"
Now showing items 21-40 of 176
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Axiomatic characterizations of some solutions for abstract games
Lahiri, Somdeb (2010-01-16)An abiding problem in choice theory has been one of characterizing those choice functions which are obtained as a result of some kind of optimization. Specifically, the endeavour has concentrated largely on finding a binary ... -
Axiomatic characterizations of the CEA solution for rationing problems
Lahiri, Somdeb (2009-12-12)Situations abound in the real world, where aggregate demand for a commodity exceeds aggregate supply. When such situations of excess demand occur, what is required is some kind of rationing. The literature on rationing ... -
Axiomatic characterizations of voting operators
Lahiri, Somdeb (2009-12-12)In this paper we provide a model for the analysis of the electoral process. We prove some theorems in this paper, which characterize some voting operators. Apart form other well-known voting operators existing in the ... -
Bargaining with a variable population for games with a reference point
Lahiri, Somdeb (2010-03-25)We consider axiomatic models of bargaining defined over a domain of problems containing different numbers of agents, define a concept called restricted monotonicity with respect of changes in the number of agents, and show ... -
Calculus approach to the existence of market equilibria in a distribution economy
Lahiri, Somdeb (2010-03-26)In this paper we prove the existence of market equilibria in distribution economies, without using any fixed-point theorems. Our method makes essential use of theorems in advanced calculus to establish the desired result. -
Characterizing the equal income market equilibrium choice correspondence: Average envy freeness instead of individual rationality from equal division
Lahiri, Somdeb (2010-04-01)In problems of fair division of a given bundle of resources, amongst a finite number of agents, individual rationality from equal division plays a significant role. In a society, where all resources are socially owned, one ... -
Chernoff and a new congruence axiom implies full rationality
Lahiri, Somdeb (2009-12-12)Rationality in choice theory has been an abiding concern of decision theorists. A rationality postulate of considerable significance in the literature is the weak congruence axiom of Richter (1971) and Sen (1971). It is ... -
Coalitional fairness and distortion of utilities
Lahiri, Somdeb (Indian Institute of Management Ahmedabad, 1989-01-01)Given a finite number of agents with utilities who wish to divide a finite number of commodities, consider the non- cooperative game with strategies consisting of concave, increasing utility functions and whose outcomes ... -
A Comment on Nash’s Independence of Irrelevant Alternatives Assumption for Choice Problems
Lahiri, Somdeb (2012-10-17)In a recent paper, campbel (1994) shows that if a choice correspondence satisfies Arrow’s choice axiom than it has a complete, reflexive and transitive rationalization, even if the domain does not include any set with fewer ... -
Comment on the adjusted proportional solution for rationing problems
Lahiri, Somdeb (2010-04-05)In this paper we obtain a simple expression for the adjusted proportional solution for rationing problems, when a fixed supply of an infinitely divisible good has to be divided only among two people, and when their demands ... -
Comment on the diamantaras - Thomson no - envy concept
Lahiri, Somdeb (2009-12-12)This paper is really a technical remark on a paper by Diamantaras and Thomas (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 ... -
A comment on the independence of irrelevant epansion assumption for the non - symmetric nash choice function
Lahiri, Somdeb (2009-12-12)In this paper we establish three distinct results: a) a unique characterization of the family of non-symmetric Nash choice functions using an Independence of Irrelevant Expansions Assumption; b) a characterization of the ... -
A compromise solution for claims problems
Lahiri, Somdeb (2010-03-29)The purpose of this paper is to axiomatically characterize a compromise solution for claims problems which satisfies invariance under affine utility transformations. The more well known solutions for claims problems do not ... -
A concept of constrained egalitarianism in fair division problems
Lahiri, Somdeb (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 ... -
Consequence of chernoff and outcasting
Lahiri, Somdeb (2009-12-12)The purpose of this paper is to prove by induction the theorem (in Aizerman and Malishevsi [1981]) that a choice function which satisfies Chernoff s axiom and Outcasting can always by expressed as the union of the solution ... -
Consequence of chernoff and outcasting and solutions for abstract games
Lahiri, Somdeb (2010-01-16)The purpose of this paper is to prove by induction the theorem (in Aizerman and Malishevski [1981]) that a choice function which satisfies Chernoffs axiom and Outcasting can always by expressed as the union of the solution ... -
Consistency and an axiomatic characterization of the market equilibrium solutions
Lahiri, Somdeb (2010-04-06)In this paper, we present a unified theory for solutions to games of fair division, which are ordinal in nature and appear as non-symmetric variants of the equal income market equilibrium solution. We characterize the ... -
Constrained equal awards solution for claims problems
Lahiri, Somdeb (2010-07-27)In this paper we propose a variable population framework for the study of claims problems and obtain characterizations of the constrained equal award rule using the following properties: envy-freeness, individual rationality ... -
Constrained equilibrium prices under fixed rationing of commodities
Lahiri, Somdeb (2010-03-29)In this paper we prove the existence, restricted efficiency and incremental fairness of constrained equilibrium allocations. -
Continuity of bargaining solutions defined with respect to a criterion
Lahiri, Somdeb (2010-03-21)In this paper we study continuity properties of bargaining solutions which are defined with respect to a criterion function. Sufficient conditions are obtained for the solutions to be continuous and the exercise is carried ...