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The players\u2019 second-order productivities are conceptualized as second-order marginal contributions, that is, how one player affects another player\u2019s marginal contributions to coalitions containing neither of them by entering these coalitions. The players\u2019 second-order payoffs are conceptualized as the effect of one player leaving the game on the payoff of another player. Analogously, the components\u2019 second-order productivities are conceptualized as their second-order productivities in the game between components; the components\u2019 second-order payoffs are conceptualized as their second-order payoffs in the game between components. We show that the Owen value is the unique efficient one-point solution for CS games that reflects the players\u2019 and the components\u2019 second-order productivities in terms of their second-order payoffs.<\/jats:p>","DOI":"10.1007\/s10479-022-04974-z","type":"journal-article","created":{"date-parts":[[2022,9,16]],"date-time":"2022-09-16T10:04:53Z","timestamp":1663322693000},"page":"1-13","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Second-order productivity, second-order payoffs, and the Owen value"],"prefix":"10.1007","volume":"320","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2650-2650","authenticated-orcid":false,"given":"Andr\u00e9","family":"Casajus","sequence":"first","affiliation":[]},{"given":"Rodrigue","family":"Tido Takeng","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2022,9,16]]},"reference":[{"key":"4974_CR1","doi-asserted-by":"publisher","first-page":"78","DOI":"10.1016\/j.mathsocsci.2007.07.003","volume":"55","author":"MJ Albizuri","year":"2008","unstructured":"Albizuri, M. 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