Karim Kilani

Karim Kilani
Conservatoire National des Arts et Métiers | CNAM · LIRSA

About

15
Publications
774
Reads
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76
Citations
Citations since 2017
2 Research Items
24 Citations
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20172018201920202021202220230123456
20172018201920202021202220230123456

Publications

Publications (15)
Article
We generalize Roy's identity for discrete choice models, focusing on the worst choices. To do so, we derive a relation between the expected minimum utility and the worst choice probabilities for additive random utility models. We extend this relationship to maxmin random utility models, applying this framework to model ambiguity in a discrete choic...
Article
For random utility models and under very mild assumptions, using the inclusion–exclusion principle, we derive an identity which expresses the probability that an alternative is the worst choice within a finite set of alternatives as an alternating sum of best choice probabilities. Under slightly stronger assumptions on the distribution of the vecto...
Article
Full-text available
We prove a general identity which states that any element of a tuple (ordered set) can be obtained as an alternating binomial weighted sum of rst elements of some sub-tuples. The identity is then applied within the random utility models framework where any alternative's ordered choice probability (the probability that it has a given rank) is expres...
Article
Full-text available
We show that the number of individuals selecting their worst alternatives within a finite set of alternatives can be written as an alternating sum of the number of individuals having their best choice within subset of alternatives. The identities are then applied to random utility models, including the multinomial logit model, the mixed logit model...
Article
Full-text available
The logsum formula, which provides the expected maximum utility for the multinomial logit model, is often used as a measure of welfare. We provide here a closed form formula of the welfare measure of an individual who has not access to his first-best choice, but has access to his rth-best choice, r = 2, ...n, where n is the number of alternatives....
Article
Full-text available
We study the descriptive and the normative consequences of price and/or other attributes changes in additive random utility models. We first derive expressions for the transition choice probabilities associated to these changes. A closed-form formula is obtained for the logit. We then use these expressions to compute the cumulative distribution fun...
Article
The consumer benefit in a discrete choice model is often measured by maximum utility. We characterize the conditional (on the chosen alternative) and the unconditional distribution of maximum utility. We show that among a wide class of distributions (independent with convex supports) of error terms, the Type I extreme-value distribution is the uniq...
Article
Full-text available
We study the descriptive and the normative consequences of price and/or other attributes changes in additive random utility models. We first derive expressions for the transition choice probabilities associated to these changes. A closed-form formula is obtained for the logit. We then use these expressions to compute the cumulative distribution fun...
Article
For the logit model, we derive analytical expressions of the switching probabilities when the systematic parts of the utility are exogenously changed. We assume that the error terms remain the same before and after the change
Article
This paper provides a survey on studies that analyze the macroeconomic effects of intellectual property rights (IPR). The first part of this paper introduces different patent policy instruments and reviews their effects on R&D and economic growth. This part also discusses the distortionary effects and distributional consequences of IPR protection a...
Article
Full-text available
For additive random utility discrete choice models, we provide a for- mula for the distribution function of the compensating variations for a large class of indirect utility functions. The distribution function has a closed form which only depends on the choice probabilities. We also pro- vide a formula for the moments of the compensating variation...
Article
Discrete choice models have been used to describe imperfect competition between firms selling horizontally differentiated products. In all theoretical models, the indirect utility function is assumed to be linear in income so that there is no income effect. We consider here a situation in which income enters nonlinearly into the indirect utility fu...

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