Fairness in the multi-proposer-multi-responder ultimatum game.
The Ultimatum Game is conventionally formulated in the context of two players. Nonetheless, real-life scenarios often entail community interactions among numerous individuals. To address this, we introduce an extended version of the Ultimatum Game, called the Multi-Proposer-Multi-Responder Ultimatum...
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2025-01-01
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| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0319178 |
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| _version_ | 1849328757984198656 |
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| author | Hana Krakovská Rudolf Hanel Mark Broom |
| author_facet | Hana Krakovská Rudolf Hanel Mark Broom |
| author_sort | Hana Krakovská |
| collection | DOAJ |
| description | The Ultimatum Game is conventionally formulated in the context of two players. Nonetheless, real-life scenarios often entail community interactions among numerous individuals. To address this, we introduce an extended version of the Ultimatum Game, called the Multi-Proposer-Multi-Responder Ultimatum Game. In this model, multiple responders and proposers simultaneously interact in a one-shot game, introducing competition both within proposers and within responders. We derive subgame-perfect Nash equilibria for all scenarios and explore how these non-trivial values might provide insight into proposal and rejection behaviour experimentally observed in the context of one vs. one Ultimatum Game. Additionally, by considering the asymptotic numbers of players, we propose two potential estimates for a "fair" threshold: either 31.8% or 36.8% of the pie (share) for the responder. |
| format | Article |
| id | doaj-art-d8464211699145debf07fde28cb6a618 |
| institution | Kabale University |
| issn | 1932-6203 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj-art-d8464211699145debf07fde28cb6a6182025-08-20T03:47:28ZengPublic Library of Science (PLoS)PLoS ONE1932-62032025-01-01203e031917810.1371/journal.pone.0319178Fairness in the multi-proposer-multi-responder ultimatum game.Hana KrakovskáRudolf HanelMark BroomThe Ultimatum Game is conventionally formulated in the context of two players. Nonetheless, real-life scenarios often entail community interactions among numerous individuals. To address this, we introduce an extended version of the Ultimatum Game, called the Multi-Proposer-Multi-Responder Ultimatum Game. In this model, multiple responders and proposers simultaneously interact in a one-shot game, introducing competition both within proposers and within responders. We derive subgame-perfect Nash equilibria for all scenarios and explore how these non-trivial values might provide insight into proposal and rejection behaviour experimentally observed in the context of one vs. one Ultimatum Game. Additionally, by considering the asymptotic numbers of players, we propose two potential estimates for a "fair" threshold: either 31.8% or 36.8% of the pie (share) for the responder.https://doi.org/10.1371/journal.pone.0319178 |
| spellingShingle | Hana Krakovská Rudolf Hanel Mark Broom Fairness in the multi-proposer-multi-responder ultimatum game. PLoS ONE |
| title | Fairness in the multi-proposer-multi-responder ultimatum game. |
| title_full | Fairness in the multi-proposer-multi-responder ultimatum game. |
| title_fullStr | Fairness in the multi-proposer-multi-responder ultimatum game. |
| title_full_unstemmed | Fairness in the multi-proposer-multi-responder ultimatum game. |
| title_short | Fairness in the multi-proposer-multi-responder ultimatum game. |
| title_sort | fairness in the multi proposer multi responder ultimatum game |
| url | https://doi.org/10.1371/journal.pone.0319178 |
| work_keys_str_mv | AT hanakrakovska fairnessinthemultiproposermultiresponderultimatumgame AT rudolfhanel fairnessinthemultiproposermultiresponderultimatumgame AT markbroom fairnessinthemultiproposermultiresponderultimatumgame |