# Preference, topology and measure

## Author

Listed:
• Vicki Knoblauch

()

## Abstract

A symmetric difference metric topology on the collection of binary relations on a countably infinite set provides a new setting for the study of properties of preferences and, as an illustration, is used to lend credence and meaning to some simple intuitions about properties of binary relations. A finite measure on a $$\sigma$$ σ -algebra over the same collection of binary relations is used to provide support for the topological results. Copyright Springer-Verlag Berlin Heidelberg 2014

## Suggested Citation

• Vicki Knoblauch, 2014. "Preference, topology and measure," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 507-514, August.
• Handle: RePEc:spr:sochwe:v:43:y:2014:i:2:p:507-514
DOI: 10.1007/s00355-013-0788-1
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File URL: http://hdl.handle.net/10.1007/s00355-013-0788-1

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## References listed on IDEAS

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1. Balasko, Yves & Cres, Herve, 1997. "The Probability of Condorcet Cycles and Super Majority Rules," Journal of Economic Theory, Elsevier, vol. 75(2), pages 237-270, August.
2. Nick Baigent & Christian Klamler, 2003. "Transitive closure, proximity and intransitivities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(1), pages 175-181, December.
Full references (including those not matched with items on IDEAS)

## Citations

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Cited by:

1. Vicki Knoblauch, 2015. "Two preference metrics provide settings for the study of properties of binary relations," Theory and Decision, Springer, vol. 79(4), pages 615-625, December.

### Keywords

Binary relation; Symmetric difference metric space ; Measure space; D11; C65;

### JEL classification:

• D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
• C65 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Miscellaneous Mathematical Tools

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