Alon, S., Lehrer, E., 2014. Subjective multi-prior probability: a representation of a partial likelihood relation. Journal of Economic Theory 151: 476–492.
- Anscombe, F., Aumann, R., 1963. A definition of subjective probability. The Annals of Mathematical Statistics 34: 199–205.
Paper not yet in RePEc: Add citation now
- Armstrong, T., Prikry, K., 1981. Liapounoff’s theorem for nonatomic, finitely-additive, bounded, finite-dimensional, vector-valued measures. Transactions of the American Mathematical Society 266: 499–514.
Paper not yet in RePEc: Add citation now
- Aumann, R., 1962. Utility theory without the completeness axiom. Econometrica 30: 455–462.
Paper not yet in RePEc: Add citation now
- Baucells, M., Shapley, L. 2008. Multiperson utility. Games and Economic Behavior 62: 329–347.
Paper not yet in RePEc: Add citation now
- Benci, V., Horsten, L., Wenmackers, S., 2018a. Infinitesimal probabilities. British Journal for the Philosophy of Science 69:509–552.
Paper not yet in RePEc: Add citation now
- Benci, V., Horsten, L., Wenmackers, S., 2018b. Non-Archimedean probability. arXiv:1106.1524 [math.PR] Bewley, T., 2002. Knightian decision theory. Part I. Decisions in Economics and Finance 25(2): 79–110. [Originally appeared in 1986 as Cowles Foundation Discussion Paper No. 807, Yale University.] Blackwell, D., Girshick, M., 1954. Theory of Games and Statistical Decisions. New York, John Wiley.
Paper not yet in RePEc: Add citation now
- Blume, L., Brandenburger, A., Dekel, E., 1989. An overview of lexicographic choice under uncertainty. Annals of Operations Research 19: 231–246.
Paper not yet in RePEc: Add citation now
Blume, L., Brandenburger, A., Dekel, E., 1991a. Lexicographic probabilities and choice under uncertainty. Econometrica 59(1): 61–79.
Blume, L., Brandenburger, A., Dekel, E., 1991b. Lexicographic probabilities and equilibrium refinements. Econometrica 59(1): 81–98.
Borie, D., 2016. Lexicographic expected utility without completeness. Theory and Decision 81, 167–176.
Brandenburger, A., Friedenberg, A., Keisler, H. J., 2008. Admissibility in games. Econometrica 76(2): 307–352.
Brickhill, H., Horsten, L., 2018. Popper functions, lexicographical probability, and nonArchimedean probability. arXiv:1608.02850 [math.LO] Broome, J., 1990. Bolker-Jeffrey expected utility theory and axiomatic utilitarianism. Review of Economic Studies 57: 477–502.
Chambers, C., 2007. An ordinal characterization of the linear opinion pool. Economic Theory 33: 457–474.
Danan, E., Gajdos, T., Tallon, J.-M., 2013. Aggregating sets of von Neumann-Morgenstern utilities. Journal of Economic Theory 148: 663–688.
Danan, E., Gajdos, T., Tallon, J.-M., 2015. Harsanyi’s aggregation theorem with incomplete preferences. American Economic Journal: Microeconomics 7(1): 61–69.
De Meyer, B., Mongin, P., 1995. A note on affine aggregation. Economics Letters 47: 177–183.
- Diamond, P. 1965. The evaluation of infinite utility streams. Econometrica 33: 170–177.
Paper not yet in RePEc: Add citation now
Dietrich, F., List, C., 2016. Probabilistic opinion pooling. In A. HaÃŒÂjek and C. Hitchcock eds. The Oxford Handbook of Philosophy and Probability, Oxford University Press, 2016, 518–19.
Dubra, J., 2011. Continuity and completeness under risk. Mathematical Social Sciences 61: 80– 81.
Dubra, J., Maccheroni, F., Ok, E., 2004. Expected utility theory without the completeness axiom. Journal of Economic Theory 115: 118–133.
Evren, Ö., 2008. On the existence of expected multi-utility representations. Economic Theory 35: 575–592.
Evren, Ö., 2014. Scalarization methods and expected multi-utility representations. Journal of Economic Theory 151: 30–63.
- Fine, T., 1973. Theories of Probability, New York, Academic Press.
Paper not yet in RePEc: Add citation now
Fishburn, P., 1971. A study of lexicographic expected utility. Management Science 17: 672–678.
- Fishburn, P., 1982. The foundations of expected utility. Dordrecht, Reidel.
Paper not yet in RePEc: Add citation now
- Fishburn, P., 1984. On Harsanyi’s utilitarian cardinal welfare theorem. Theory and Decision 17: 21–28.
Paper not yet in RePEc: Add citation now
Fleurbaey, M., 2009. Two variants of Harsanyi’s aggregation theorem. Economics Letters 105, 300–302.
Galaabaatar, T., Karni, E., 2012. Expected multi-utility representations. Mathematical Social Sciences 64: 242–246.
Galaabaatar, T., Karni, E., 2013. Subjective expected utility with incomplete preferences. Econometrica 81: 255–284.
Ghirardato, P., Maccheroni, F., Marinacci, M., Siniscalchi, M., 2003. A subjective spin on roulette wheels. Econometrica 71: 1897–1908.
Gilboa, I., 2009. Theory of Decision under Uncertainty, Cambridge University Press.
Gilboa, I., Maccheroni, F., Marinacci, M., Schmeidler, D., 2010. Objective and subjective rationality in a multiple prior model. Econometrica 78: 755–770.
Gilboa, I., Schmeidler, D., 1989. Maxmin expected utility with non-unique prior. Journal of Mathematical Economics 18: 141–153.
- Halpern, J., 2003. Reasoning about Uncertainty, MIT Press.
Paper not yet in RePEc: Add citation now
Halpern, J., 2010. Lexicographic probability, conditional probability, and nonstandard probability. Games and Economic Behavior 68: 155–179.
- Hammond P., 1994a. Elementary non-Archimedean representations of probability for decision theory and games. In: Humphreys, P. (Ed.), Patrick Suppes: Scientific Philosopher vol. 1. Kluwer, Dordrecht, pp. 25–49.
Paper not yet in RePEc: Add citation now
- Hammond, P., 1994b. Consequentialism, non-Archimedean probabilities, and lexicographic expected utility. Operations Research ?93. A. Bachem, U. Derigs, M. Jünger and R. Schrader. Heidelberg, Physica: 219–250.
Paper not yet in RePEc: Add citation now
Hammond, P., 1999. Non-Archimedean subjective probabilities in decision theory and games. Mathematical Social Sciences 38(2): 139–156.
Hara, K., Ok, E., Riella, G., 2016. Coalitional expected multi-utility theory. http://economics.mit.edu/files/12659 Harsanyi, J., 1955. Cardinal welfare, individualistic ethics, and interpersonal comparisons of utility. Journal of Political Economy 63, 309–21.
Harsanyi, J., 1967–1968. Games with incomplete information played by “Bayesian†players, I–III. Management Science 14: 159–182, 320–334, 486–502.
- Hausner, M., 1954. Multidimensional utilities. In Thrall, R., Coombs, C. and Davis, R. eds. Decision Processes John Wiley.
Paper not yet in RePEc: Add citation now
- Hausner, M., Wendel, J., 1952. Ordered vector spaces. Proceedings of the American Mathematical Society 3, 977–982.
Paper not yet in RePEc: Add citation now
- Herstein, I., Milnor, J., 1953. An axiomatic approach to measurable utility. Econometrica 21: 291–297.
Paper not yet in RePEc: Add citation now
Herzberg, F., 2009. Elementary non-Archimedean utility theory. Mathematical Social Sciences 58: 8–14.
Herzberg, F., 2015. Aggregating infinitely many probability measures. Theory and Decision 78: 319–337.
- Insua, D., 1992. On the foundations of decision making under partial information. Theory and Decision 33: 83–100.
Paper not yet in RePEc: Add citation now
- Koopmans, T., 1960. Stationary ordinal utility and impatience. Econometrica 28: 287–309.
Paper not yet in RePEc: Add citation now
Manzini, P., Mariotti, M., 2008. On the representation of incomplete preferences over risky alternatives. Theory and Decision 65: 303–323.
McCarthy, D., Mikkola, K., 2018. Continuity and completeness of strongly independent preorders. Mathematical Social Sciences 93: 141–145.
McCarthy, D., Mikkola, K., Thomas, T., 2017a. Representation of strongly independent preorders by sets of scalar-valued functions. MPRA Paper No. 79284 https://mpra.ub.uni-muenchen.de/79284/ McCarthy, D., Mikkola, K., Thomas, T., 2017b. Representation of strongly independent preorders by vector-valued functions. MPRA Paper No. 80806. https://mpra.ub.uni-muenchen.de/80806/ McCarthy, D., Mikkola, K., Thomas, T., 2018. Utilitarianism with and without expected utility.
Mongin, P., 1995. Consistent Bayesian aggregation. Journal of Economic Theory 66: 313–351.
Mongin, P., 1998. The paradox of the Bayesian experts and state-dependent utility theory. Journal of Mathematical Economics 29: 331–61.
Mongin, P., 2001. A note on mixture sets in decision theory. Decisions in Economics and Finance 24: 59–69.
Mongin, P., Pivato, M., 2015. Ranking multidimensional alternatives and uncertain prospects. Journal of Economic Theory 157, 146–171.
- MPRA Paper No. 90125. https://mpra.ub.uni-muenchen.de/90125/ McConway, K., 1981. Marginalization and linear opinion pools. Journal of the American Statistical Association 76(374): 410–414.
Paper not yet in RePEc: Add citation now
- Nau, R., 2006. The shape of incomplete preferences. The Annals of Statistics 34: 2430–2448.
Paper not yet in RePEc: Add citation now
Nielsen, M., 2019. On linear aggregation of infinitely many finitely additive probability measures. Theory and Decision 86: 421–436.
Ok, E., 2007. Real Analysis with Economic Applications, Princeton University Press.
Ok, E., Ortoleva, P., Riella, G., 2012. Incomplete preferences under uncertainty: indecisiveness in beliefs vs. tastes. Econometrica 80: 1791–1808.
Pivato, M., 2013. Risky social choice with incomplete or noisy interpersonal comparisons of well-being. Social Choice and Welfare 40: 123–139.
Pivato, M., 2014. Additive representation of separable preferences over infinite products. Theory and Decision 77, 31–83.
- Ramsey, F., 1928. A mathematical theory of saving. Economic Journal 38: 543–559.
Paper not yet in RePEc: Add citation now
- Rudin, W., 1991. Functional Analysis, 2nd. edition. McGraw-Hill.
Paper not yet in RePEc: Add citation now
Schmeidler, D., 1971. A condition for the completeness of partial preference relations. Econometrica 39: 403–404.
- Seidenfeld, T., Schervish, M., Kadane, J., 1995. A representation of partially ordered preferences.
Paper not yet in RePEc: Add citation now
- Shapley, L., Baucells, M., 1998. Multiperson utility. University of California, Los Angeles (UCLA) Department of Economics Working Paper 779.
Paper not yet in RePEc: Add citation now
Stinchcombe, M., 2016. Objective and subjective foundations for multiple priors. Journal of Economic Theory 165: 263–291.
- Stone, M., 1961. The opinion pool. Annals of Mathematical Statistics 32, 4: 1339–1342.
Paper not yet in RePEc: Add citation now
- Villegas, C., 1964. On qualitative probability Ã-algebras. Annals of Mathematical Statistics 35: 1787–1796.
Paper not yet in RePEc: Add citation now
- Weymark, J., 1993. Harsanyi’s social aggregation theorem and the weak Pareto principle. Social Choice and Welfare 10: 209–221.
Paper not yet in RePEc: Add citation now
- Weymark, J., 1995. Further remarks on Harsanyi’s social aggregation theorem and the weak Pareto principle. Social Choice and Welfare 12: 87–92.
Paper not yet in RePEc: Add citation now
Zhou, L., 1997. Harsanyi’s utilitarianism theorems: general societies. Journal of Economic Theory 72: 198–207.
Zuber, S., 2016. Harsanyi’s theorem without the sure-thing principle: On the consistent aggregation of Monotonic Bernoullian and Archimedean preferences. Journal of Mathematical Economics 63: 78–83.