admitting consistent extensions in the DavisMaschler sense are found. They are the equal share solution, the standard solution …, and the constrained egalitarian solution for superadditive twoperson games. Characterizations of consistent extensions …

consistent extensions of two-claimant rules (Thomson, 2001), which exploits geometric properties of paths of awards, seen in … . . . . . . . . . . . . . . . . . . . . . . . . 10 3.3 A tutorial on constructing consistent extensions . . . . . . . . 13 3.4 Proof of the main result …, 2000), is based on a general method of constructing consistent extensions of two-claimant rules (Thomson, 2001), which …

identify the restrictions implied by consistency. Keywords: claims problems; consistent extensions; proportional rule; con … of the two-claimant constrained equal awards and constrained equal losses rules have consistent extensions? Again, since …). When do these weighted versions of the two-claimant Talmud rule have consistent extensions? The answer is that the set of …