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Proof of permutationally convexity of MCSF games
Authors:Bahram Alidaee
Affiliation:(1) Mathematics and Physical Sciences Department, West Texas State University, 79016 Canyon, TX, USA
Abstract:Granot and Huberman (1982) showed that minimum cost spanning tree (MCST) games are permutationally convex (PC). Recently, Rosenthal (1987) gave an extension of MCST games to minimum cost spanning forest (MCSF) games and showed these games have nonempty cores. In this note we show any MCSF game is a PC game.
Keywords:Minimum Cost Spanning Tree Game  Minimum Cost Spanning Forest Game  Permutationally Convex Game
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