We seek to find the statistical model that most accurately describes empirically observed results in sports. The idea of a transitive relation concerning the team strengths is implemented by imposing a set of constraints on the outcome probabilities. We theoretically investigate the resulting...

We seek to find the statistical model that most accurately describes empirically observed results in sports. The idea of a transitive relation concerning the team strengths is implemented by imposing a set of constraints on the outcome probabilities. We theoretically investigate the resulting...

Transitivity and dominance are key concepts built deep into the fundaments of most economic models of decision-making. One of the arguments in favour of using the two concepts is that they are normative, i.e., symptomatic of perfect, rational decision-making. This paper describes several...