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1739. Robust games with vector payoffs

Invited abstract in session MB-41: Vector and Set Optimization II, stream Vector and Set Optimization.

Monday, 10:30-12:00
Room: 97 (building: 306)

Authors (first author is the speaker)

1. Elisa Caprari
Dipartimento di Scienze Economiche e Aziendali, UniversitĂ  di Pavia
2. Lorenzo Cerboni Baiardi
Department of Mathematics, University of Bologna
3. Elena Molho
Dipartimento di Scienze Economiche e Aziendali, UniversitĂ  di Pavia

Abstract

In non-cooperative game theory, it may happen that players’ payoffs are represented by vector parametric functions, with no information available on the probability distribution of the parameters. A fruitful approach to this problem is to consider all the realizations of the parameters in a set-valued payoff. The worst case scenarios can be considered by the introduction of an appropriate quasi-order relation between sets. We address the question whether scalarization and robustification can be commuted in a non componentwise framework.

Keywords

Status: accepted


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