{"id":448891,"date":"2026-06-11T09:40:07","date_gmt":"2026-06-11T07:40:07","guid":{"rendered":"https:\/\/www.wifo.ac.at\/publication\/448891\/"},"modified":"2026-06-11T09:40:08","modified_gmt":"2026-06-11T07:40:08","slug":"immigration-search-and-redistribution-a-quantitative-assessment-of-native-welfare-a-reply","status":"publish","type":"publication","link":"https:\/\/www.wifo.ac.at\/en\/publication\/448891\/","title":{"rendered":"\"Immigration, Search and Redistribution: A Quantitative Assessment of Native Welfare\" A Reply"},"content":{"rendered":"","protected":false},"featured_media":0,"template":"","class_list":["post-448891","publication","type-publication","status-publish","hentry"],"acf":{"subtitle":"","text":"Stark and Byra (2025) identify a mistake in how capital income is calculated in the supplementary files of Battisti et al. (2018) and point out that our wage bargaining equation does not correspond to the Nash bargaining solution in the presence of wage taxation. We acknowledge both points and thank the authors for pointing out these issues. The bargaining solution we use in Battisti et al. (2018) is the Kalai (1977) proportional bargaining solution with fixed surplus shares, not Nash bargaining. In our reply, we show that if we calibrate the model to wage tax rates, correcting the coding mistake has only a minor effect on our original results if maintaining the original Kalai bargaining. If we also switch to the Nash bargaining solution, the estimated gains from immigration become smaller. Welfare effects depend on the precise nature of bargaining and tend to be larger with Kalai proportional bargaining. Average total welfare gains from immigration are then 0.37 percent for both low-skilled and high-skilled natives, instead of 1.25 percent for high-skilled and 1.00 percent for low-skilled natives in Battisti et al. (2018).","onlinedate":"2026-06-01 02:00:00","lang":"English","publication_series":"","publication_date":"20260601","publication_date_year":"","publication_date_full":false,"publication_num_pages":"","keywords":"[]","jelcodes":"[\"F22\",\"H20\",\"J61\",\"J64\"]","related_publications":"[]","pdf":null,"zip":null,"link":"https:\/\/doi.org\/10.1093\/jeea\/jvag018","monthly_report":false,"monthly_report_main":false,"monthly_report_volume":"24","monthly_report_pages":"1203\u20131212","monthly_report_pages_sort":"1203","issue":"3","journal":"Journal of the European Economic Association","publisher":"","invisible":false,"external":true,"embargo_date":null,"types":[83083],"research_groups":[],"collaboration":"","persons":[4986,17715,17717,17719],"persons_data":"[{\"personId\":4986,\"personName\":\"Gabriel Felbermayr\",\"organisationNames\":[]},{\"personId\":17715,\"personName\":\"Michele Battisti\",\"organisationNames\":[]},{\"personId\":17717,\"personName\":\"Giovanni Peri\",\"organisationNames\":[]},{\"personId\":17719,\"personName\":\"Panu Poutvaara\",\"organisationNames\":[]}]","clients":[],"subclients":[],"partners":[],"topics":[],"host_publication_title":"","host_publication_subtitle":"","place_of_publication":"","host_publication_editors":"[]","type_description":"","output_media":"","chapter":"","article_number":"","scientific_assistance":"[]","scientific_review":"[]","version":"","release_date":null,"expiration_date":null,"surveyor":"","research_assistance":"","edv":"","additional_info_de":"","additional_info_en":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v27.8 (Yoast SEO v27.8) - https:\/\/yoast.com\/product\/yoast-seo-premium-wordpress\/ -->\n<title>&quot;Immigration, Search and Redistribution: A Quantitative Assessment of Native Welfare&quot; A Reply - WIFO<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.wifo.ac.at\/en\/publication\/448891\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"&quot;Immigration, Search and Redistribution: A Quantitative Assessment of Native Welfare&quot; A Reply\" \/>\n<meta property=\"og:url\" content=\"https:\/\/www.wifo.ac.at\/en\/publication\/448891\/\" \/>\n<meta property=\"og:site_name\" content=\"WIFO\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/WIFOat\/\" \/>\n<meta property=\"article:modified_time\" content=\"2026-06-11T07:40:08+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/www.wifo.ac.at\/wp-content\/uploads\/2024\/05\/WIFO-Gebaeude-FotoAlexanderMueller-www.alexandermueller.at-IMG_6326-Bearbeitet-1.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1280\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@WIFOat\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/publication\\\/448891\\\/\",\"url\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/publication\\\/448891\\\/\",\"name\":\"\\\"Immigration, Search and Redistribution: A Quantitative Assessment of Native Welfare\\\" A Reply - WIFO\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/#website\"},\"datePublished\":\"2026-06-11T07:40:07+00:00\",\"dateModified\":\"2026-06-11T07:40:08+00:00\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/publication\\\/448891\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/publication\\\/448891\\\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/publication\\\/448891\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Startseite\",\"item\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"\\\"Immigration, Search and Redistribution: A Quantitative Assessment of Native Welfare\\\" A Reply\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/#website\",\"url\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/\",\"name\":\"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung\",\"description\":\"\",\"publisher\":{\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/#organization\"},\"alternateName\":\"WIFO\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"},{\"@type\":\"Organization\",\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/#organization\",\"name\":\"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung\",\"alternateName\":\"WIFO\",\"url\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/\",\"logo\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/#\\\/schema\\\/logo\\\/image\\\/\",\"url\":\"https:\\\/\\\/www.wifo.ac.at\\\/wp-content\\\/uploads\\\/2024\\\/05\\\/WIFO_kurz_rechts-2-1920x412.jpg\",\"contentUrl\":\"https:\\\/\\\/www.wifo.ac.at\\\/wp-content\\\/uploads\\\/2024\\\/05\\\/WIFO_kurz_rechts-2-1920x412.jpg\",\"width\":2000,\"height\":429,\"caption\":\"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung\"},\"image\":{\"@id\":\"https:\\\/\\\/www.wifo.ac.at\\\/en\\\/#\\\/schema\\\/logo\\\/image\\\/\"},\"sameAs\":[\"https:\\\/\\\/www.facebook.com\\\/WIFOat\\\/\",\"https:\\\/\\\/x.com\\\/WIFOat\",\"https:\\\/\\\/linkedin.com\\\/company\\\/wifoat\\\/\",\"https:\\\/\\\/www.youtube.com\\\/@WIFO_at\"],\"description\":\"Das WIFO, 1927 von Friedrich August von Hayek und Ludwig von Mises zur Konjunkturanalyse gegr\u00fcndet, ist heute das f\u00fchrende Institut f\u00fcr angewandte empirische Wirtschaftsforschung in \u00d6sterreich mit starkem Engagement auf europ\u00e4ischer Ebene.\",\"email\":\"office@wifo.ac.at\",\"telephone\":\"+43 1 798 26 01 \u2013 0\",\"legalName\":\"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung\",\"foundingDate\":\"1927-01-02\",\"numberOfEmployees\":{\"@type\":\"QuantitativeValue\",\"minValue\":\"51\",\"maxValue\":\"200\"},\"publishingPrinciples\":\"https:\\\/\\\/www.wifo.ac.at\\\/institut\\\/mission-und-strategie\\\/\",\"ownershipFundingInfo\":\"https:\\\/\\\/www.wifo.ac.at\\\/institut\\\/organisation\\\/\",\"actionableFeedbackPolicy\":\"https:\\\/\\\/www.wifo.ac.at\\\/aktuelles\\\/presse\\\/\",\"correctionsPolicy\":\"https:\\\/\\\/www.wifo.ac.at\\\/institut\\\/kontakt\\\/\",\"ethicsPolicy\":\"https:\\\/\\\/www.wifo.ac.at\\\/institut\\\/evidenzbasierung-transparenz-und-unabhaengigkeit\\\/\",\"diversityPolicy\":\"https:\\\/\\\/www.wifo.ac.at\\\/institut\\\/gleichstellung\\\/\",\"diversityStaffingReport\":\"https:\\\/\\\/www.wifo.ac.at\\\/institut\\\/gleichstellung\\\/\"}]}<\/script>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"\"Immigration, Search and Redistribution: A Quantitative Assessment of Native Welfare\" A Reply - WIFO","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/www.wifo.ac.at\/en\/publication\/448891\/","og_locale":"en_US","og_type":"article","og_title":"\"Immigration, Search and Redistribution: A Quantitative Assessment of Native Welfare\" A Reply","og_url":"https:\/\/www.wifo.ac.at\/en\/publication\/448891\/","og_site_name":"WIFO","article_publisher":"https:\/\/www.facebook.com\/WIFOat\/","article_modified_time":"2026-06-11T07:40:08+00:00","og_image":[{"width":1920,"height":1280,"url":"https:\/\/www.wifo.ac.at\/wp-content\/uploads\/2024\/05\/WIFO-Gebaeude-FotoAlexanderMueller-www.alexandermueller.at-IMG_6326-Bearbeitet-1.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_site":"@WIFOat","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/www.wifo.ac.at\/en\/publication\/448891\/","url":"https:\/\/www.wifo.ac.at\/en\/publication\/448891\/","name":"\"Immigration, Search and Redistribution: A Quantitative Assessment of Native Welfare\" A Reply - WIFO","isPartOf":{"@id":"https:\/\/www.wifo.ac.at\/en\/#website"},"datePublished":"2026-06-11T07:40:07+00:00","dateModified":"2026-06-11T07:40:08+00:00","breadcrumb":{"@id":"https:\/\/www.wifo.ac.at\/en\/publication\/448891\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/www.wifo.ac.at\/en\/publication\/448891\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/www.wifo.ac.at\/en\/publication\/448891\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Startseite","item":"https:\/\/www.wifo.ac.at\/en\/"},{"@type":"ListItem","position":2,"name":"\"Immigration, Search and Redistribution: A Quantitative Assessment of Native Welfare\" A Reply"}]},{"@type":"WebSite","@id":"https:\/\/www.wifo.ac.at\/en\/#website","url":"https:\/\/www.wifo.ac.at\/en\/","name":"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung","description":"","publisher":{"@id":"https:\/\/www.wifo.ac.at\/en\/#organization"},"alternateName":"WIFO","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/www.wifo.ac.at\/en\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"},{"@type":"Organization","@id":"https:\/\/www.wifo.ac.at\/en\/#organization","name":"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung","alternateName":"WIFO","url":"https:\/\/www.wifo.ac.at\/en\/","logo":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/www.wifo.ac.at\/en\/#\/schema\/logo\/image\/","url":"https:\/\/www.wifo.ac.at\/wp-content\/uploads\/2024\/05\/WIFO_kurz_rechts-2-1920x412.jpg","contentUrl":"https:\/\/www.wifo.ac.at\/wp-content\/uploads\/2024\/05\/WIFO_kurz_rechts-2-1920x412.jpg","width":2000,"height":429,"caption":"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung"},"image":{"@id":"https:\/\/www.wifo.ac.at\/en\/#\/schema\/logo\/image\/"},"sameAs":["https:\/\/www.facebook.com\/WIFOat\/","https:\/\/x.com\/WIFOat","https:\/\/linkedin.com\/company\/wifoat\/","https:\/\/www.youtube.com\/@WIFO_at"],"description":"Das WIFO, 1927 von Friedrich August von Hayek und Ludwig von Mises zur Konjunkturanalyse gegr\u00fcndet, ist heute das f\u00fchrende Institut f\u00fcr angewandte empirische Wirtschaftsforschung in \u00d6sterreich mit starkem Engagement auf europ\u00e4ischer Ebene.","email":"office@wifo.ac.at","telephone":"+43 1 798 26 01 \u2013 0","legalName":"\u00d6sterreichisches Institut f\u00fcr Wirtschaftsforschung","foundingDate":"1927-01-02","numberOfEmployees":{"@type":"QuantitativeValue","minValue":"51","maxValue":"200"},"publishingPrinciples":"https:\/\/www.wifo.ac.at\/institut\/mission-und-strategie\/","ownershipFundingInfo":"https:\/\/www.wifo.ac.at\/institut\/organisation\/","actionableFeedbackPolicy":"https:\/\/www.wifo.ac.at\/aktuelles\/presse\/","correctionsPolicy":"https:\/\/www.wifo.ac.at\/institut\/kontakt\/","ethicsPolicy":"https:\/\/www.wifo.ac.at\/institut\/evidenzbasierung-transparenz-und-unabhaengigkeit\/","diversityPolicy":"https:\/\/www.wifo.ac.at\/institut\/gleichstellung\/","diversityStaffingReport":"https:\/\/www.wifo.ac.at\/institut\/gleichstellung\/"}]}},"_links":{"self":[{"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/publication\/448891","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/publication"}],"about":[{"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/types\/publication"}],"version-history":[{"count":1,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/publication\/448891\/revisions"}],"predecessor-version":[{"id":448892,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/publication\/448891\/revisions\/448892"}],"acf:post":[{"embeddable":true,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/external_person\/17719"},{"embeddable":true,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/external_person\/17717"},{"embeddable":true,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/external_person\/17715"},{"embeddable":true,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/person\/4986"},{"embeddable":true,"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/publication_type\/83083"}],"wp:attachment":[{"href":"https:\/\/www.wifo.ac.at\/en\/wp-json\/wp\/v2\/media?parent=448891"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}