Artikel

Optimal decision rules in repeated games where players infer an opponent's mind via simplified belief calculation

In strategic situations, humans infer the state of mind of others, e.g., emotions or intentions, adapting their behavior appropriately. Nonetheless, evolutionary studies of cooperation typically focus only on reaction norms, e.g., tit for tat, whereby individuals make their next decisions by only considering the observed outcome rather than focusing on their opponent's state of mind. In this paper, we analyze repeated two-player games in which players explicitly infer their opponent's unobservable state of mind. Using Markov decision processes, we investigate optimal decision rules and their performance in cooperation. The state-of-mind inference requires Bayesian belief calculations, which is computationally intensive. We therefore study two models in which players simplify these belief calculations. In Model 1, players adopt a heuristic to approximately infer their opponent's state of mind, whereas in Model 2, players use information regarding their opponent's previous state of mind, obtained from external evidence, e.g., emotional signals. We show that players in both models reach almost optimal behavior through commitment-like decision rules by which players are committed to selecting the same action regardless of their opponent's behavior. These commitment-like decision rules can enhance or reduce cooperation depending on the opponent's strategy.

Sprache
Englisch

Erschienen in
Journal: Games ; ISSN: 2073-4336 ; Volume: 7 ; Year: 2016 ; Issue: 3 ; Pages: 1-23 ; Basel: MDPI

Klassifikation
Wirtschaft
Thema
cooperation
direct reciprocity
repeated game
Markov decision process
heuristics

Ereignis
Geistige Schöpfung
(wer)
Nakamura, Mitsuhiro
Ohtsuki, Hisashi
Ereignis
Veröffentlichung
(wer)
MDPI
(wo)
Basel
(wann)
2016

DOI
doi:10.3390/g7030019
Handle
Letzte Aktualisierung
10.03.2025, 11:42 MEZ

Datenpartner

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Objekttyp

  • Artikel

Beteiligte

  • Nakamura, Mitsuhiro
  • Ohtsuki, Hisashi
  • MDPI

Entstanden

  • 2016

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