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Risk of Monetary Gambles: An Axiomatic Approach

Tomer Siedner

Discussion Paper Series from The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem

Abstract: In this work we present five axioms for a risk-order relation defined over (monetary) gambles. We then characterize an index that satisfies all these axioms – the probability of losing money in a gamble multiplied by the expected value of such an outcome – and prove its uniqueness. We propose to use this function as the risk of a gamble. This index is continuous, homogeneous, monotonic with respect to first- and second-order stochastic dominance, and simple to calculate. We also compare our index with some other risk indices mentioned in the literature.

Keywords: NTU game; Convex game; Bargaining set (search for similar items in EconPapers)
Pages: 16 pages
Date: 2015-04
New Economics Papers: this item is included in nep-rmg
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