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Risk and Complexity in Scenario Optimization

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Risk and Complexity in Scenario Optimization
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39
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CC Attribution - NonCommercial - NoDerivatives 4.0 International:
You are free to use, copy, distribute and transmit the work or content in unchanged form for any legal and non-commercial purpose as long as the work is attributed to the author in the manner specified by the author or licensor.
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In scenario optimization, decisions are made in the light of past situations (or scenarios), and the “risk” associated to a scenario decision refers to the possibility that the decision does not perform as expected in a new case at hand. In the presentation, we will discuss a deep, and universal, link that relates the risk to the “complexity” of the decision, where complexity is a concept associated to the amount of information by which the decision can be constructed. This theoretical result provides a support to the use of inductive methods in decision making problems.