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Relief Maximization and Rationality

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Logic, Rationality, and Interaction (LORI 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10455))

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Abstract

This paper introduces the concept of relief maximization in decisions and games and shows how it can explain experimental behavior, such as asymmetric dominance and decoy effects. Next, two possible evolutionary explanations for the survival of relief-based behavior are sketched.

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Notes

  1. 1.

    The symmetric games presented there are actually six, but one of them is irrelevant for our study. As usual, since games are symmetric, it suffices to specify row player’s payoffs.

  2. 2.

    For a (compact convex) set of probabilities \(\Gamma \subseteq \varDelta (A_{-i})\), it is also straightforward to generalize the definition to the “multiple-prior version” of relief maximization: \(\arg \max _{a_{i}}\min _{P\in \Gamma }\,\{\mathbb {E}_{P}\left[ u_{i}(a_{i},a_{-i})\right] -\min _{a_{i}'}\mathbb {E}_{P}\left[ u_{i}(a_{i}',a_{-i})\right] \}\).

  3. 3.

    Note that in general a tie-breaker is needed for a principle to always output a single action.

References

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Author information

Authors and Affiliations

  1. CIBS, Copenhagen University, Copenhagen, Denmark

    Paolo Galeazzi

  2. ILLC, University of Amsterdam, Amsterdam, The Netherlands

    Zoi Terzopoulou

Authors
  1. Paolo Galeazzi
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  2. Zoi Terzopoulou
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Corresponding author

Correspondence to Paolo Galeazzi .

Editor information

Editors and Affiliations

  1. Institute for Logic, Language and Computation, University of Amsterdam , Amsterdam, Noord-Holland, The Netherlands

    Alexandru Baltag

  2. Department of Philosophy, The University of Auckland, Auckland, Auckland, New Zealand

    Jeremy Seligman

  3. Graduate School of Letters, Hokkaido University , Sapporo, Japan

    Tomoyuki Yamada

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Galeazzi, P., Terzopoulou, Z. (2017). Relief Maximization and Rationality. In: Baltag, A., Seligman, J., Yamada, T. (eds) Logic, Rationality, and Interaction. LORI 2017. Lecture Notes in Computer Science(), vol 10455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55665-8_50

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  • DOI: https://doi.org/10.1007/978-3-662-55665-8_50

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-55664-1

  • Online ISBN: 978-3-662-55665-8

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