Skip to main content Accessibility help


  • Martin Peterson (a1)
  • In response to commentaries on:


Decision theorists have suggested that it is sometimes appropriate to represent the value of certain options as intervals of real numbers. In this note I show that doing so is incompatible with some deeply held intuitions about rational choice.



Hide All
Chang, R. 2002. The possibility of parity. Ethics 112: 659688.
Chang, R. 2005. Parity, interval value, and choice. Ethics 115: 331350.
Easwaran, K. 2008. Strong and weak expectations. Mind 117: 633641.
Fishburn, P. C. 1985. Interval Orders and Interval Graphs: A Study of Partially Ordered Sets. Wiley-Interscience Series in Discrete Mathematics. New York, NY: John Wiley & Sons.
Gert, J. 2004. Value and parity. Ethics 114: 492510.
Hájek, A. and Nover, H.. 2008. Complex expectations. Mind 117: 643664.
Lauwers, L. and Vallentyne, P.. 2016. Decision theory without finite standard expected value. Economics and Philosophy 32: 383407.
Nover, H. and Hájek, A.. 2004. Vexing expectations. Mind 113: 237249.
Parfit, D. 1984. Reasons and Persons. Oxford: Oxford University Press.
Peterson, M. 2007. Parity, clumpiness and rational choice. Utilitas 19: 505513.
Peterson, M. 2013a. A generalization of the Pasadena puzzle. Dialectica 67: 597603.
Peterson, M. 2013b. The Dimensions of Consequentialism. Cambridge: Cambridge University Press.
Savage, L.J. 1954. The Foundations of Statistics. New York, NY: John Wiley & Sons. (2nd edition 1972.)
Sen, A. K. 1969. Quasi-transitivity, rational choice and collective decisions. Review of Economic Studies 36: 381393.
Sen, A. K. 1970. Collective Choice and Social Welfare (1st edn). San Francisco, CA: Holden-Day.
Sen, A. 1993. Internal consistency of choice. Econometrica 61: 495521.
Weirich, P. 1998. Equilibrium and Rationality: Game Theory Revised by Decision Rules. Cambridge: Cambridge University Press.



  • Martin Peterson (a1)
  • In response to commentaries on:


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed.