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No‐Betting‐Pareto Dominance

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  • Itzhak Gilboa
  • Larry Samuelson
  • David Schmeidler

Abstract

We argue that the notion of Pareto dominance is not as compelling in the presence of uncertainty as it is under certainty. In particular, voluntary trade based on differences in tastes is commonly accepted as desirable, because tastes cannot be wrong. By contrast, voluntary trade based on incompatible beliefs may indicate that at least one agent entertains mistaken beliefs. We propose and characterize a weaker, No‐Betting, notion of Pareto domination which requires, on top of unanimity of preference, the existence of shared beliefs that can rationalize such preference for each agent.

Suggested Citation

  • Itzhak Gilboa & Larry Samuelson & David Schmeidler, 2014. "No‐Betting‐Pareto Dominance," Econometrica, Econometric Society, vol. 82(4), pages 1405-1442, July.
    • Handle: RePEc:wly:emetrp:v:82:y:2014:i:4:p:1405-1442
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    File URL: http://hdl.handle.net/10.1111/ecta.2014.82.issue-4.x
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    References listed on IDEAS

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    1. I. Gilboa & W. A. Postlewaite & D. Schmeidler, 2009. "Probability and Uncertainty in Economic Modeling," Voprosy Ekonomiki, NP Voprosy Ekonomiki, issue 10.
    2. Samet, Dov, 1998. "Common Priors and Separation of Convex Sets," Games and Economic Behavior, Elsevier, vol. 24(1-2), pages 172-174, July.
    3. John C. Harsanyi, 1955. "Cardinal Welfare, Individualistic Ethics, and Interpersonal Comparisons of Utility," Journal of Political Economy, University of Chicago Press, vol. 63, pages 309-309.
    4. Alp Simsek, 2012. "Speculation and Risk Sharing with New Financial Assets," 2012 Meeting Papers 71, Society for Economic Dynamics.
    5. Mongin Philippe, 1995. "Consistent Bayesian Aggregation," Journal of Economic Theory, Elsevier, vol. 66(2), pages 313-351, August.
    6. David M. Kreps, 2012. "Microeconomic Foundations I: Choice and Competitive Markets," Economics Books, Princeton University Press, edition 1, volume 1, number 9890.
    7. Itzhak Gilboa & Andrew Postlewaite & David Schmeidler, 2007. "Probabilities in Economic Modeling," PIER Working Paper Archive 07-023, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    8. Hylland, Aanund & Zeckhauser, Richard J, 1979. "The Impossibility of Bayesian Group Decision Making with Separate Aggregation of Beliefs and Values," Econometrica, Econometric Society, vol. 47(6), pages 1321-1336, November.
    9. Stiglitz, J.E., 1989. "Using Tax Policy To Curb Speculative Short-Term Trading," Papers t2, Columbia - Center for Futures Markets.
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