Ali Khan | Johns Hopkins University (original) (raw)
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Università degli Studi di Milano - State University of Milan (Italy)
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Papers by Ali Khan
Zeitschrift für Nationalökonomie, 1985
Journal of King Abdulaziz University-Islamic Economics, 1991
The New Palgrave Dictionary of Economics
The New Palgrave Dictionary of Economics
Pacific Economic Review, 2007
. We examine the issue of technical assistance versus brain drain repatriation as alternative st... more . We examine the issue of technical assistance versus brain drain repatriation as alternative strategies for transferring scarce skills to a skill‐poor economy. Technical assistance relies mainly on expatriate skills and labour from the host country, while brain drain repatriation seeks to effect a return of skills that might have been lost in migration. We show that, even in the simplest setting with imperfect information, a surprisingly rich menu of responses is obtained.
Glasgow Mathematical Journal, 1984
We show that Diestel's theorem on weak compactness of subsets of L1,(μ, X) can be derived as ... more We show that Diestel's theorem on weak compactness of subsets of L1,(μ, X) can be derived as a simple corollary of James's theorem. It is a pleasure to acknowledge several stimulating conserversations with Dave Emmons and the remarks of an anonymous referee. Errors are, of course, solely mine.
Social Science Research Network, 2022
Economic Theory, Nov 3, 2021
Studies in Economic Theory, 1991
Proceedings of the National Academy of Sciences, 1997
We present a model of a financial market in which naive diversification, based simply on portfoli... more We present a model of a financial market in which naive diversification, based simply on portfolio size and obtained as a consequence of the law of large numbers, is distinguished from efficient diversification, based on mean-variance analysis. This distinction yields a valuation formula involving only the essential risk embodied in an asset’s return, where the overall risk can be decomposed into a systematic and an unsystematic part, as in the arbitrage pricing theory; and the systematic component further decomposed into an essential and an inessential part, as in the capital-asset-pricing model. The two theories are thus unified, and their individual asset-pricing formulas shown to be equivalent to the pervasive economic principle of no arbitrage. The factors in the model are endogenously chosen by a procedure analogous to the Karhunen–Loéve expansion of continuous time stochastic processes; it has an optimality property justifying the use of a relatively small number of them to d...
Proceedings of the National Academy of Sciences, 1996
In the setting of noncooperative game theory, strategic negligibility of individual agents, or di... more In the setting of noncooperative game theory, strategic negligibility of individual agents, or diffuseness of information, has been modeled as a nonatomic measure space, typically the unit interval endowed with Lebesgue measure. However, recent work has shown that with uncountable action sets, for example the unit interval, there do not exist pure-strategy Nash equilibria in such nonatomic games. In this brief announcement, we show that there is a perfectly satisfactory existence theory for nonatomic games provided this nonatomicity is formulated on the basis of a particular class of measure spaces, hyperfinite Loeb spaces. We also emphasize other desirable properties of games on hyperfinite Loeb spaces, and present a synthetic treatment, embracing both large games as well as those with incomplete information.
Archiv der Mathematik, 1990
We show that the order topology of Chichilnisky on closed subsets of a compact Hausdorff space is... more We show that the order topology of Chichilnisky on closed subsets of a compact Hausdorff space is completely regular and finer than the topology of set convergence of Choquet and Kuratowski.
International Journal of Economic Theory, 2005
Physical Review Letters, 2018
Zeitschrift für Nationalökonomie, 1985
Journal of King Abdulaziz University-Islamic Economics, 1991
The New Palgrave Dictionary of Economics
The New Palgrave Dictionary of Economics
Pacific Economic Review, 2007
. We examine the issue of technical assistance versus brain drain repatriation as alternative st... more . We examine the issue of technical assistance versus brain drain repatriation as alternative strategies for transferring scarce skills to a skill‐poor economy. Technical assistance relies mainly on expatriate skills and labour from the host country, while brain drain repatriation seeks to effect a return of skills that might have been lost in migration. We show that, even in the simplest setting with imperfect information, a surprisingly rich menu of responses is obtained.
Glasgow Mathematical Journal, 1984
We show that Diestel's theorem on weak compactness of subsets of L1,(μ, X) can be derived as ... more We show that Diestel's theorem on weak compactness of subsets of L1,(μ, X) can be derived as a simple corollary of James's theorem. It is a pleasure to acknowledge several stimulating conserversations with Dave Emmons and the remarks of an anonymous referee. Errors are, of course, solely mine.
Social Science Research Network, 2022
Economic Theory, Nov 3, 2021
Studies in Economic Theory, 1991
Proceedings of the National Academy of Sciences, 1997
We present a model of a financial market in which naive diversification, based simply on portfoli... more We present a model of a financial market in which naive diversification, based simply on portfolio size and obtained as a consequence of the law of large numbers, is distinguished from efficient diversification, based on mean-variance analysis. This distinction yields a valuation formula involving only the essential risk embodied in an asset’s return, where the overall risk can be decomposed into a systematic and an unsystematic part, as in the arbitrage pricing theory; and the systematic component further decomposed into an essential and an inessential part, as in the capital-asset-pricing model. The two theories are thus unified, and their individual asset-pricing formulas shown to be equivalent to the pervasive economic principle of no arbitrage. The factors in the model are endogenously chosen by a procedure analogous to the Karhunen–Loéve expansion of continuous time stochastic processes; it has an optimality property justifying the use of a relatively small number of them to d...
Proceedings of the National Academy of Sciences, 1996
In the setting of noncooperative game theory, strategic negligibility of individual agents, or di... more In the setting of noncooperative game theory, strategic negligibility of individual agents, or diffuseness of information, has been modeled as a nonatomic measure space, typically the unit interval endowed with Lebesgue measure. However, recent work has shown that with uncountable action sets, for example the unit interval, there do not exist pure-strategy Nash equilibria in such nonatomic games. In this brief announcement, we show that there is a perfectly satisfactory existence theory for nonatomic games provided this nonatomicity is formulated on the basis of a particular class of measure spaces, hyperfinite Loeb spaces. We also emphasize other desirable properties of games on hyperfinite Loeb spaces, and present a synthetic treatment, embracing both large games as well as those with incomplete information.
Archiv der Mathematik, 1990
We show that the order topology of Chichilnisky on closed subsets of a compact Hausdorff space is... more We show that the order topology of Chichilnisky on closed subsets of a compact Hausdorff space is completely regular and finer than the topology of set convergence of Choquet and Kuratowski.
International Journal of Economic Theory, 2005
Physical Review Letters, 2018