Instability of ex post aggregation in the Bolker-Jeffrey framework and related instability phenomena

Erkenntnis

Volumn 55, Issue 2, 2001, Pages 239-270

  Risse, Mathias ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33748797894     PISSN: 01650106     EISSN: 15728420     Source Type: Journal    
DOI: 10.1023/a:1012933421686     Document Type: Article

References (30)

1. Anscombe, G.: 1976, 'On Frustration of the Majority by Fulfillment of the Majority's Will', Analysis 36, 161-168.
2. Arrow, K.: 1964, 'The Role of Securities in the Optimal Allocation of Risk-Bearing', Review of Economic Studies 31.
3. Bickel, P., E. Hammel, and J. O'Connell, 'Sex Bias in Graduate Admissions: Data from Berkeley', in W. Fairley and F. Mosteller, Statistics and Public Policy, Addison-Wesley, Reading.
4. Blyth, C.: 1972, 'On Simpson's Paradox and the Sure-Thing-Principle', Journal of the American Statistical Association 67, 364-366.
5. Bradley, R.: 1998, 'A Representation Theorem for a Decision Theory with Conditionals', Synthese 116, 187-229.
6. Broome, J.: 1990, 'Bolker Jeffrey Expected Utility Theory and Axiomatic Utilitarianism', Review of Economic Studies, 477-502.
7. Cartwright, N.: 1979, 'Causal Laws and Effective Strategies', Nous 13, 419-436.
8. DeGroot M.: 1989, Probability and Statistics, Addison-Wesley, Reading.
9. Hammond, P.: 1982, 'Ex-ante and Ex-post Welfare Optimality under Uncertainty', Economical, 231-250.
10. Hammond, P.: 1983, 'Ex-post Optimality as a Dynamically Consistent Objective for Collective Choice under Uncertainty', in: P. Pattanaik an M. Salles (eds), Social Choice and Welfare, North Holland, Amsterdam.
11. Hild, M.: forthcoming, 'The Instability of Ex Post Aggregation'.
12. Hild, M., R. Jeffrey, and M. Risse: forthcoming, 'Preference Aggregation After Harsanyi', forthcoming in M. Salles and J. Weymark, Justice, Political Liberalism, and Utilitarianism: Proceedings of the Caen Conference in Honor of John Harsanyi and John Rawls, Cambridge University Press, Cambridge.
13. Hylland, A. and R. Zeckhauser: 1979, 'The Impossibility of Bayesian Group Decision Making with Separate Aggregation of Beliefs and Values', Econometrica 47, 1321-1336.
14. Jeffrey, R.: 1983, The Logic of Decision, 2nd edition, University of Chicago Press, Chicago.
15. Joyce, J.: 1999, Foundations of Causal Decision Theory, Cambridge University Press, Cambridge.
16. Levi, I.: 1990, 'Pareto Unanimity and Consensus', Journal of Philosophy 87.
17. Malinas, G.: 1997, 'Simpson's Paradox and the Wayward Researcher', Australasian Journal of Philosophy 75, 343-359.
18. Mittal, Y.: 1991, 'Homogeneity of Subpopulations and Simpson's Paradox', Journal of the American Statistical Association 86, 167-172.
19. Mongin, P.: 1995, 'Consistent Bayesian Aggregation', Journal of Economic Theory 33, 313-351.
20. Nermuth, M.: 1991, 'Two-Stage Discrete Aggregation: the Ostrogorski Paradox and Related Phenomena', Social Choice and Welfare 9, 99-116.
21. Ordeshook, P.: 1986, Game Theory and Political Theory, Cambridge University Press, Chicago.
22. Saari, D.: 1987, 'The Source of Some Paradoxes from Social Choice and Probability', Journal of Economic Studies 41, 1-22.
23. Savage, L.: 1954, The Foundations of Statistics, Wiley, New York.
24. Tanguiane, A.: 1994, 'Arrow's Paradox and Mathematical Theory of Democracy', Social Choice and Welfare 11, 1-82.
25. van Fraassen, B.: 1989, Laws and Symmetry, Clarendon, Oxford.
26. Vaupel, J. and A. Yashin: 1985, 'Heterogeneity's Ruses: Some Surprising Effects of Selection on Population Dynamics', The American Statistician 39, 176-185.
27. Wagner, C.: 1982, 'Simpson's Paradox in Real Life', The American Statistical Association 36, 46-48.
28. Wagner, C.: 1983, 'Anscombe's Paradox and the Rule of Three-Fourths', Theory and Decision 15, 303-308.
29. Warner, F.: 1970, Foundations of Differentiable Manifolds and Lie Groups, Scott, Foresman, Glenview.
30. Young, P. and M. Balinski: 1994, Fair Representation, Yale University Press, New Haven.