[{"department":[{"_id":"10053"}],"date_updated":"2018-07-24T13:01:41Z","intvolume":" 442","locked":"1","language":[{"iso":"eng"}],"date_created":"2017-03-21T10:13:51Z","oa":1,"year":"2010","status":"public","has_accepted_license":"1","jel":["C71"],"keyword":["Banzhaf value","amalgamation","symmetry","2-efficiency"],"publisher":"Center for Mathematical Economics","urn":"urn:nbn:de:0070-pub-29093190","place":"Bielefeld","citation":{"frontiers":"Casajus, A. (2010). Amalgamating players, symmetry, and the Banzhaf value. *Working Papers. Institute of Mathematical Economics*, 442, Bielefeld: Center for Mathematical Economics.","apa":"Casajus, A. (2010). *Amalgamating players, symmetry, and the Banzhaf value* (Working Papers. Institute of Mathematical Economics, 442). Bielefeld: Center for Mathematical Economics.","ama":"Casajus A. *Amalgamating players, symmetry, and the Banzhaf value*. Working Papers. Institute of Mathematical Economics. Vol 442. Bielefeld: Center for Mathematical Economics; 2010.","wels":"Casajus, A. (2010): Amalgamating players, symmetry, and the Banzhaf value. Bielefeld: Center for Mathematical Economics.","ieee":" A. Casajus, *Amalgamating players, symmetry, and the Banzhaf value*, Working Papers. Institute of Mathematical Economics, vol. 442, Bielefeld: Center for Mathematical Economics, 2010.","apa_indent":"Casajus, A. (2010). *Amalgamating players, symmetry, and the Banzhaf value* (Working Papers. Institute of Mathematical Economics, 442). Bielefeld: Center for Mathematical Economics.

","aps":" A. Casajus, Amalgamating players, symmetry, and the Banzhaf value, Working Papers. Institute of Mathematical Economics (Center for Mathematical Economics, Bielefeld, 2010).","harvard1":"Casajus, A., 2010. *Amalgamating players, symmetry, and the Banzhaf value*, Working Papers. Institute of Mathematical Economics, no.442, Bielefeld: Center for Mathematical Economics.","angewandte-chemie":"A. Casajus, *Amalgamating players, symmetry, and the Banzhaf value*, Center For Mathematical Economics, Bielefeld, **2010**.","lncs":" Casajus, A.: Amalgamating players, symmetry, and the Banzhaf value. Working Papers. Institute of Mathematical Economics, 442. Center for Mathematical Economics, Bielefeld (2010).","default":"Casajus A (2010) Working Papers. Institute of Mathematical Economics; 442.

Bielefeld: Center for Mathematical Economics.","dgps":"Casajus, A. (2010). *Amalgamating players, symmetry, and the Banzhaf value* (Working Papers. Institute of Mathematical Economics). Bielefeld: Center for Mathematical Economics.

","mla":"Casajus, André. *Amalgamating players, symmetry, and the Banzhaf value*. Bielefeld: Center for Mathematical Economics, 2010. Working Papers. Institute of Mathematical Economics. 442.","chicago":"Casajus, André. 2010. *Amalgamating players, symmetry, and the Banzhaf value*. Vol. 442. Working Papers. Institute of Mathematical Economics. Bielefeld: Center for Mathematical Economics.

","bio1":"Casajus A (2010)

*Amalgamating players, symmetry, and the Banzhaf value*. Working Papers. Institute of Mathematical Economics; 442.

Bielefeld: Center for Mathematical Economics."},"ddc":["330"],"series_title":"Working Papers. Institute of Mathematical Economics","_id":"2909319","author":[{"last_name":"Casajus","first_name":"André","full_name":"Casajus, André"}],"title":"Amalgamating players, symmetry, and the Banzhaf value","file":[{"file_name":"IMW_working_paper_442.pdf","access_level":"open_access","date_created":"2017-03-21T10:10:00Z","file_size":"242636","date_updated":"2019-09-06T09:18:43Z","creator":"weingarten","relation":"main_file","content_type":"application/x-download","file_id":"2909320"}],"file_date_updated":"2019-09-06T09:18:43Z","publication_identifier":{"issn":["0931-6558"]},"volume":442,"abstract":[{"text":"We suggest new characterizations of the Banzhaf value without the\r\nsymmetry axiom, which reveal that the characterizations by Lehrer\r\n(1988, International Journal of Game Theory 17, 89-99) and Nowak\r\n(1997, International Journal of Game Theory 26, 127-141) as well\r\nas most of the characterizations by Casajus (2010, Theory and Decision, forthcoming) are redundant. Further, we explore symmetry implications of Lehrer's 2-efficiency axiom.","lang":"eng"}],"publication_status":"published","type":"working_paper"}]