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Consistency and monotonicity in assignment problems (1995)

Sasaki, Hiroo

Springer

International journal of game theory 24 (1995), S. 373-397

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ISSN: 1432-1270

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Economics

Notes: Abstract This paper presents axiomatic characterizations of the core of assignment problems. In the main axiomatization theorem we use six axioms including the consistency (CONS) and the weak pairwise-monotonicity (W.P.MON) which are firstly proposed and defined for this setup in the present paper. Since an assignment problem may be converted into a model of a private ownership economy with indivisible goods and the core of the assignment problem coincides with the set of the competitive allocations of the economy, our characterization theorems also give axiomatic characterizations of the set of competitive allocations. Because the consistency is a desirable property of resource allocation mechanisms, our main result gives a new normative implication of competitive equilibria.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01243039

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High-speed aqueous gel-permeation chromatography (1978)

Hashimoto, Tsutomu ; Sasaki, Hiroo ; Aiura, Makoto ; [et al.]

New York : Wiley-Blackwell

Journal of Polymer Science: Polymer Physics Edition 16 (1978), S. 1789-1800

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ISSN: 0098-1273

Keywords: Physics ; Polymer and Materials Science

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Chemistry and Pharmacology , Physics

Notes: High-speed gel-permeation chromatography (GPC) of water-soluble polymers has been investigated by using TSK-GEL, type-PW columns packed with small porous particles. Being semirigid, the column packing could be operated under high pressure and, therefore, it was possible to achieve high-speed GPC. A resolution higher than that of ordinary GPC in organic solvent system was attained when the measurement of one sample was completed within 40 min with a 6-ft column set. Samples with a wide range of molecular weights, from oligomers to polymers having a molecular weight greater than 106, could be fractionated. Dextran, polyethylene glycol, polyacrylamide, poly(vinyl alcohol), and poly(vinyl pyrrolidone) were separated according to molecular size with no evidence of adsorption. Investigation of other water soluble polymers is now in progress.

Additional Material: 14 Ill.