We provide a new and concise characterization of the Banzhaf value on the (linear) space of all TU-games on a fixed player set by means of two transparent axioms. The first one is the wellknown Dummy player axiom. The second axiom, called Strong transfer invariance, indicates that a player’s payoff is invariant to a transfer of worth between two coalitions he or she belongs to. To prove this re...

Dummy variables frequently are used in regression analysis but often in an incorrect fashion. A brief review of examples in the medical care literature showed that the interpretation of dummy variable regression coefficients and their significance was often incorrect or unclear. This article shows how dummy variables can be used and assessed properly. The importance of testing for the joint eff...

Currently, there exist several offline calibration techniques that can be used to fine-tune the parameters of a metaheuristic. Such techniques require, however, to perform a considerable number of independent runs of the metaheuristic in order to obtain meaningful information. Here, we are interested on the use of this information for assisting the algorithm designer to discard components of a ...

A diagnostic method along the lines of forward search is proposed to simultaneously study the effect of individual observations and features on the inferences made in linear regression. The method operates by appending dummy variables to the data matrix and performing backward selection on the augmented matrix. It outputs sequences of feature–outlier combinations which can be evaluated by plots...

We show how to construct power indices that respect proportionality between power and weight from average representations of a game. If restricted to account for the lack of power of dummy voters, average representations become coherent measures of voting power, such that the resulting power distributions are proportional to the distribution of weights. Imposing other restrictions may lead to a...

Let F be a family of subsets of the ground set [n] = {1, 2, . . . , n}. For each i ∈ [n] we let p(F , i) be the number of pairs of subsets that differ in the element i and exactly one of them is in F . We interpret p(F , i) as the influence of that element. The normalized Banzhaf vector of F , denoted B(F), is the vector (B(F , 1), . . . , B(F , n)), where B(F , i) = p(F ,i) p(F) and p(F) is th...

I introduce cooperative product games (CPGs), a cooperative game where every player has a weight, and the value of a coalition is the product of the weights of the players in the coalition. I only look at games where the weights are at least 2. I show that no player in such a game can be a dummy. I show that the game is convex, and therefore always has a non-empty core. I provide a simple metho...

the projective representation of the 3D scene. In other words, the projective representation of the scene can undergo a projective transformation (which eeectively translates the scene along the optical axes of the rst view) which is interchangeable with the camera motion from view to view. The in-terchangeability point is eeectively contained in the arguments of 3] about the geometric content ...

BBbk Dummy variable for each bean type (k) and buyer (b) combination (k = 1,b = 1 base case) BSsk Dummy variable for each bean type (k) and seller (s) combination (k = 1, s = 1 base case) TVmk Overall coffee export volume during month m (kilo tons) DFm Fraction of coffee export volume traded on the digital platform during month m Zbd, Zsd Indicator variable set to 1 if buyer b (seller s) had a ...