scholarly journals The sure-thing principle and P2

2017 ◽  
Vol 159 ◽  
pp. 221-223 ◽  
Author(s):  
Yang Liu
Keyword(s):  
1997 ◽  
Vol 8 (2) ◽  
pp. 87-94 ◽  
Author(s):  
Michael H. Birnbaum ◽  
Darin Beeghley

Branch independence is weaker than Savage's “sure thing” principle. It requires that judgments of gambles with a common outcome produced by the same probability-event must not reverse order when that common outcome is changed. Subjects judged 168 gambles from viewpoints of both buyer (highest buying price) and seller (lowest selling price). Judgments violated branch independence in both viewpoints. Violations also changed systematically between viewpoints, consistent with the theory that viewpoint affects configural weighting but not the utility function. Violations of branch independence were opposite those predicted by the model of cumulative prospect theory. The middle of three equally likely outcomes received the most weight in the seller's viewpoint. In the buyer's, lower outcomes received greater weights. In both viewpoints, the ratio of weights of the middle outcome to the highest outcome exceeded the ratio of weights of the lowest outcome to the middle outcome.


2009 ◽  
Vol 25 (3) ◽  
pp. 247-248 ◽  
Author(s):  
Giacomo Bonanno ◽  
Martin van Hees ◽  
Christian List ◽  
Bertil Tungodden

The paradigm for modelling decision-making under uncertainty has undoubtedly been the theory of Expected Utility, which was first developed by von Neumann and Morgenstern (1944) and later extended by Savage (1954) to the case of subjective uncertainty. The inadequacy of the theory of Subjective Expected Utility (SEU) as a descriptive theory was soon pointed out in experiments, most famously by Allais (1953) and Ellsberg (1961). The observed departures from SEU noticed by Allais and Ellsberg became known as “paradoxes”. The Ellsberg paradox gave rise, several years later, to a new literature on decision-making under ambiguity. The theoretical side of this literature was pioneered by Schmeidler (1989). This literature views the departures from SEU in situations similar to those discussed by Ellsberg as rational responses to ambiguity. The rationality is “recovered” by relaxing Savage's Sure-Thing principle and adding an ambiguity-aversion postulate. Thus the ambiguity-aversion literature takes a normative point of view and does consider Ellsberg-type choices as behavioural “anomalies”.


1996 ◽  
Vol 12 (1) ◽  
pp. 5-27 ◽  
Author(s):  
Chew Soo Hong ◽  
Peter Wakker
Keyword(s):  

1996 ◽  
Vol 74 (2) ◽  
pp. 324-327 ◽  
Author(s):  
Alastair Norcross
Keyword(s):  

2009 ◽  
Vol 25 (3) ◽  
pp. 249-284 ◽  
Author(s):  
Nabil I. Al-Najjar ◽  
Jonathan Weinstein

We provide a critical assessment of the ambiguity aversion literature, which we characterize in terms of the view that Ellsberg choices are rational responses to ambiguity, to be explained by relaxing Savage's Sure-Thing principle and adding an ambiguity-aversion postulate. First, admitting Ellsberg choices as rational leads to behaviour, such as sensitivity to irrelevant sunk cost, or aversion to information, which most economists would consider absurd or irrational. Second, we argue that the mathematical objects referred to as “beliefs” in the ambiguity aversion literature have little to do with how an economist or game theorist understands and uses the concept. This is because of the lack of a useful notion of updating. Third, the anomaly of the Ellsberg choices can be explained simply and without tampering with the foundations of choice theory. These choices can arise when decision makers form heuristics that serve them well in real-life situations where odds are manipulable, and misapply them to experimental settings.


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