Smart contracts and reaction-function games

Fuente: arXiv
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Hauptverfasser: Gudmundsson, Jens, Hougaard, Jens Leth
Format: Preprint
Veröffentlicht: 2025
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author Gudmundsson, Jens
Hougaard, Jens Leth
author_facet Gudmundsson, Jens
Hougaard, Jens Leth
contents Blockchain-based smart contracts offer a new take on credible commitment, where players can commit to actions in reaction to actions of others. Such reaction-function games extend on strategic games with players choosing reaction functions instead of strategies. We formalize a solution concept in terms of fixed points for such games, akin to Nash equilibrium, and prove equilibrium existence. Reaction functions can mimic "trigger" strategies from folk theorems on infinitely repeated games -- but now in a one-shot setting -- for instance to support Pareto-improvements on Nash equilibrium outcomes. In some games, this can even be done through risk-free, safe reaction functions. We apply our theoretical framework to symmetric investment games, which includes two prominent classes of games, namely weakest-link and public-good games. In both cases, we highlight a particular safe and optimal reaction function. In this way, our findings highlight how blockchain-based commitment can help overcome trust and free-riding barriers.
format Preprint
id arxiv_https___arxiv_org_abs_2506_14413
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Smart contracts and reaction-function games
Gudmundsson, Jens
Hougaard, Jens Leth
Theoretical Economics
Blockchain-based smart contracts offer a new take on credible commitment, where players can commit to actions in reaction to actions of others. Such reaction-function games extend on strategic games with players choosing reaction functions instead of strategies. We formalize a solution concept in terms of fixed points for such games, akin to Nash equilibrium, and prove equilibrium existence. Reaction functions can mimic "trigger" strategies from folk theorems on infinitely repeated games -- but now in a one-shot setting -- for instance to support Pareto-improvements on Nash equilibrium outcomes. In some games, this can even be done through risk-free, safe reaction functions. We apply our theoretical framework to symmetric investment games, which includes two prominent classes of games, namely weakest-link and public-good games. In both cases, we highlight a particular safe and optimal reaction function. In this way, our findings highlight how blockchain-based commitment can help overcome trust and free-riding barriers.
title Smart contracts and reaction-function games
topic Theoretical Economics
url https://arxiv.org/abs/2506.14413