A geometric approach is introduced to explain phenomena that can arise with Luce’s choice axiom; e.g., differences occur when determining the likelihood of a ranking by starting with the ‘‘best-first,’ ’ or ‘‘worst-first’ ’ alternative. As shown, the problem is caused by the way we compute pairwise probabilities: it forces ‘‘best-first’ ’ and ‘‘worst-first’ ’ computations to use different information from a profile. Thus agreement holds only should the different information agree: this happens only with complete indifference. An alternative ‘‘best-first’ ’ and ‘‘worst-first’ ’ comparison, which always holds, is developed. Ways to increase the applicability of the choice axiom are introduced; e.g., profiles admitted by Luce’s formulation for...
We develop an axiomatic model that builds on Luce's (1959) model to incorporate a role for perceptio...
We develop an axiomatic model that builds on Luce's (1959) model to incorporate a role for perceptio...
We develop an axiomatic model that builds on Luce's (1959) model to incorporate a role for perceptio...
Luce’s Choice Axiom (hereafter LCA) is a quantitative hypothesis about choice behavior first propose...
Luce’s Choice Axiom (hereafter LCA) is a quantitative hypothesis about choice behavior first propose...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
In this paper, we provide an axiomatic characterization of the ascending probabilistic max-min exten...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
Holman and Marley have shown that Thurstone’s Case V model becomes equivalent to the Choice Axiom if...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
We develop an axiomatic model that builds on Luce's (1959) model to incorporate a role for perceptio...
We develop an axiomatic model that builds on Luce's (1959) model to incorporate a role for perceptio...
We develop an axiomatic model that builds on Luce's (1959) model to incorporate a role for perceptio...
Luce’s Choice Axiom (hereafter LCA) is a quantitative hypothesis about choice behavior first propose...
Luce’s Choice Axiom (hereafter LCA) is a quantitative hypothesis about choice behavior first propose...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
In this paper, we provide an axiomatic characterization of the ascending probabilistic max-min exten...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
Holman and Marley have shown that Thurstone’s Case V model becomes equivalent to the Choice Axiom if...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
We investigate the problem of deciding whether a given preference profile is close to having a certa...
We develop an axiomatic model that builds on Luce's (1959) model to incorporate a role for perceptio...
We develop an axiomatic model that builds on Luce's (1959) model to incorporate a role for perceptio...
We develop an axiomatic model that builds on Luce's (1959) model to incorporate a role for perceptio...