کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
479664 1446021 2014 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Order monotonic solutions for generalized characteristic functions
ترجمه فارسی عنوان
دستورالعملهای یکنواخت برای توابع مشخصه عمومی را یک مرتبه سفارش دهید؟
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر علوم کامپیوتر (عمومی)
چکیده انگلیسی


• We argue against null player and symmetry properties of solutions for games in generalized characteristic function form.
• We introduce the axiom of order monotonicity with respect to the order of the players in a unanimity coalition.
• We axiomatize the subclass of geometric solutions.
• We axiomatize the two extreme solutions from this class.

Generalized characteristic functions extend characteristic functions of ‘classical’ TU-games by assigning a real number to every ordered coalition being a permutation of any subset of the player set. Such generalized characteristic functions can be applied when the earnings or costs of cooperation among a set of players depend on the order in which the players enter a coalition.In the literature, the two main solutions for generalized characteristic functions are the one of Nowak and Radzik (1994), shortly called NR-value, and the one introduced by Sánchez and Bergantiños (1997), shortly called SB-value. In this paper, we introduce the axiom of order monotonicity with respect to the order of the players in a unanimity coalition, requiring that players who enter earlier should get not more in the corresponding (ordered) unanimity game than players who enter later. We propose several classes of order monotonic solutions for generalized characteristic functions that contain the NR-value and SB-value as special (extreme) cases. We also provide axiomatizations of these classes.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: European Journal of Operational Research - Volume 238, Issue 3, 1 November 2014, Pages 786–796
نویسندگان
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