Ratio Orderings and Comparative Statics
Monotone ratio orderings are refinements of first order stochastic dominance that allow monotone comparative statics results in games of incomplete information. We develop analogous refinements for second order stochastic dominance based on the monotonicity of the cumulative probability ratio and the unimodality of the likelihood and probability ratios. We go on to investigate comparative statics in first price auctions, both private and common value, of the effects of more precise information in the sense of the new orderings. We find that almost all types bid more aggressively under the new distribution than they did under the old, but the highest types may bid less. This leads to higher expected revenue in a simple common value auction, but to an ambiguous result in the private value case.
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- Susan Athey, 2002.
"Monotone Comparative Statics Under Uncertainty,"
The Quarterly Journal of Economics,
MIT Press, vol. 117(1), pages 187-223, February.
- Paul R. Milgrom, 1979.
"Good Nevs and Bad News: Representation Theorems and Applications,"
407R, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Paul R. Milgrom, 1981. "Good News and Bad News: Representation Theorems and Applications," Bell Journal of Economics, The RAND Corporation, vol. 12(2), pages 380-391, Autumn.
- Shorrocks, Anthony F, 1983. "Ranking Income Distributions," Economica, London School of Economics and Political Science, vol. 50(197), pages 3-17, February.
- Atkinson, Anthony B., 1970. "On the measurement of inequality," Journal of Economic Theory, Elsevier, vol. 2(3), pages 244-263, September.
- Milgrom, Paul, 1989. "Auctions and Bidding: A Primer," Journal of Economic Perspectives, American Economic Association, vol. 3(3), pages 3-22, Summer.
- Paul Klemperer, 1999.
"Auction Theory: A Guide to the Literature,"
- Klemperer, Paul, 1999. "Auction Theory: a Guide to the Literature," CEPR Discussion Papers 2163, C.E.P.R. Discussion Papers.
- Paul Klemperer, 1999. "Auction Theory: A Guide to the Literature," Economics Series Working Papers 1999-W12, University of Oxford, Department of Economics.
- Klemperer, P., 1999. "Auction Theory: a Guide to the Literature," Economics Papers 1999-w12, Economics Group, Nuffield College, University of Oxford.
- Lebrun, Bernard, 1998. "Comparative Statics in First Price Auctions," Games and Economic Behavior, Elsevier, vol. 25(1), pages 97-110, October.
- Peter Simmons, .
"Seller Surplus in First Price Auctions,"
96/7, Department of Economics, University of York.
- Milgrom, Paul R & Weber, Robert J, 1982.
"A Theory of Auctions and Competitive Bidding,"
Econometric Society, vol. 50(5), pages 1089-1122, September.
- Eeckhoudt, Louis & Gollier, Christian, 1995. "Demand for Risky Assets and the Monotone Probability Ratio Order," Journal of Risk and Uncertainty, Springer, vol. 11(2), pages 113-22, September.
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