Rationalizability in multicriteria games

Yasuo Sasaki ()
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Yasuo Sasaki: Japan Advanced Institute of Science and Technology

International Journal of Game Theory, 2019, vol. 48, issue 2, No 14, 673-685

Abstract: Abstract We define rationalizability for multicriteria games and examine its properties. In a multicriteria game, each agent can have multiple decision criteria and thus has a vector-valued utility function. An agent’s rationalizable action is defined as such an action that can survive iterated elimination of never-Pareto optimal actions. We first generalize some properties of standard rationalizability such as existence to the multicriteria case. We then show that a rationalizable action in some weighted game is also rationalizable in the original multicriteria game, whereas the converse may not hold. This implies the robustness of non-rationalizable actions under utility aggregations for any weight vectors. We also discuss interpretations of mixed actions and their implications to multicriteria games.

Keywords: Multicriteria game; Rationalizability; Pareto optimality (search for similar items in EconPapers)
Date: 2019
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DOI: 10.1007/s00182-018-0655-5

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