Morgenstern Corrects a Conceptual Error

Hal Morgenstern, Ph.D. '

Error-Correcting Output Coding Corrects Bias and Variance

Previous research has shown that a technique called error-correcting output coding (ECOC) can dramatically improve the classiication accuracy of supervised learning algorithms that learn to classify data points into one of k 2 classes. This paper presents an investigation of why the ECOC technique works, particularly when employed with decision-tree learning algorithms. It shows that the ECOC m...

A von Neumann Morgenstern Representation Result without Weak Continuity Assumption

In the paradigm of von Neumann and Morgenstern, a representation of a ne preferences in terms of an expected utility can be obtained under the assumption of weak continuity. Since the weak topology is coarse, this requirement is a priori far from being negligible. In this work, we replace the assumption of weak continuity by monotonicity. More precisely, on the space of lotteries on a real open...

Aggregating sets of von Neumann-Morgenstern utilities

We analyze the aggregation problem without the assumption that individuals and society have fully determined and observable preferences. More precisely, we endow individuals and society with sets of possible von Neumann-Morgenstern utility functions over lotteries. We generalize the classical neutrality assumption to this setting and characterize the class of neutral social welfare function. Th...

How to Compute Von Neumann-morgenstern Solutions

Cooperative games and von Neumann-Morgenstern solution. Situations when all participants collaborate with each other is known as a cooperative game. One way to describe a cooperative game is to assign, to every subset S ⊆ N def = {1, . . . , n} of the set of all the participants, the value v(S) that describes what players from S can gain if they collaborate between themselves only. Such subsets...