As shown by Shapley [11], its components are given by (9). and it is the unique vector satisfying the following axioms: (a) lies in the efficiency hyperplane, (b) it is invariant under permutation of players, and (c) if and are two games, then.
A Bregman projection [13, 23] of (xin operatorname {int}(operatorname {dom}g)) onto the nonempty, closed and convex set (Csubset operatorname {dom}g) is the unique vector (operatorname {proj}^{g}_{C}(x):=x_{0}in C) satisfying D_{g}(x_{0},x =min_{yin C}D_{g} y,x).
Recall that the Bregman projection [25] of (xin operatorname{int} operatorname{dom} f) onto the nonempty closed and convex set (Csubset operatorname{dom} f) is the unique vector (P^{f}_{C}(x in C) satisfying D_{f}bigl(P^{f}_{C}(x),xbigr)=infbigl{ D_{f} y,x):yin Cbigr}.
The Steiner point map s : K n → R n is the unique vector valued rigid motion equivariant and continuous valuation.
307] The Steiner point map s : K n → R n is the unique vector valued rigid motion equivariant and continuous valuation.
Suppose that for any simple sub-mechanism i there is a terminal species j such that S T γ i is the unique vector (among the s different ones) having nonzero coordinate j, (S T γ i ) j ≠ 0.
Recall that the Bregman projection[19] of x ∈ int dom f onto the nonempty, closed, and convex set C ⊂ dom f is necessarily the unique vector satisfying.
To obtain from this a one-parameter comprehensive family of copulas, let (U, V) ~ c u, v) be the unique circular symmetric random vector on B2.
Let a k-sparse vector (x^{ast}) be the unique solution of (l_{0} -minimization.
Therefore the mapping is the unique -dimensional vector variable -quadratic mapping satisfying (1.2) and (3.10).
