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» On Directed Information and Gambling
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CORR
2008
Springer
96views Education» more  CORR 2008»
13 years 4 months ago
On Directed Information and Gambling
We study the problem of gambling in horse races with causal side information and show that Massey's directed information characterizes the increment in the maximum achievable ...
Haim H. Permuter, Young-Han Kim, Tsachy Weissman
MANSCI
2010
104views more  MANSCI 2010»
13 years 2 months ago
Valuing Money and Things: Why a $20 Item Can Be Worth More and Less Than $20
The study of risky decision-making has long used monetary gambles to study choice, but many everyday decisions do not involve the prospect of winning or losing money. Monetary gam...
A. Peter McGraw, Eldar Shafir, Alexander Todorov
IPMU
2010
Springer
13 years 2 months ago
Infinite Exchangeability for Sets of Desirable Gambles
Gert de Cooman, Erik Quaeghebeur
ISIPTA
2005
IEEE
137views Mathematics» more  ISIPTA 2005»
13 years 10 months ago
Basing Probabilistic Logic on Gambles
This article presents a probabilistic logic whose sentences can be interpreted as asserting the acceptability of gambles described in terms of an underlying logic. This probabilis...
Peter R. Gillett, Richard B. Scherl, Glenn Shafer
ISIPTA
1999
IEEE
117views Mathematics» more  ISIPTA 1999»
13 years 8 months ago
Towards a Unified Theory of Imprecise Probability
Belief functions, possibility measures and Choquet capacities of order 2, which are special kinds of coherent upper or lower probability, are amongst the most popular mathematical...
Peter Walley