Λεπτομέρειες βιβλιογραφικής εγγραφής
| Τίτλος: |
The I.I.D. Prophet Inequality with Limited Flexibility. |
| Συγγραφείς: |
Perez-Salazar, Sebastian1 (AUTHOR) sperez@rice.edu, Singh, Mohit2 (AUTHOR) mohit.singh@isye.gatech.edu, Toriello, Alejandro2 (AUTHOR) atoriello@isye.gatech.edu |
| Πηγή: |
Mathematics of Operations Research (INFORMS). Feb2026, Vol. 51 Issue 1, p218-254. 37p. |
| Θεματικοί όροι: |
*Time-based pricing, *Linear programming, *Internet sales, Approximation algorithms |
| Περίληψη: |
In online sales, sellers usually offer each potential buyer a posted price in a take-it-or-leave fashion. Buyers can sometimes see posted prices faced by other buyers, and changing the price frequently could be considered unfair. The literature on posted-price mechanisms and prophet inequality problems has studied the two extremes of pricing policies, the fixed-price policy and fully dynamic pricing. The former is suboptimal in revenue but is perceived as fairer than the latter. This work examines the middle situation, where there are at most k distinct prices over the selling horizon. Using the framework of prophet inequalities with independent and identically distributed random variables, we propose a new prophet inequality for strategies that use at most k thresholds. We present asymptotic results in k and results for small values of k. For k = 2 prices, we show an improvement of at least 11% over the best fixed-price solution. Moreover, k = 5 prices suffice to guarantee almost 99% of the approximation factor obtained by a fully dynamic policy that uses an arbitrary number of prices. From a technical standpoint, we use an infinite-dimensional linear program in our analysis; this formulation could be of independent interest to other online selection problems. Funding: This research was supported by the U.S. National Science Foundation [Grants CCF-2106444, CCF-1910423, and CMMI 1552479]. [ABSTRACT FROM AUTHOR] |
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