The secretary is dead, long live the secretary

The TPP Is Dead, Long Live the TPP? A Response to Recent Commentaries

The secretary returns

In the online random-arrival model, an algorithm receives a sequence of n requests that arrive in a random order. The algorithm is expected to make an irrevocable decision with regard to each request based only on the observed history. We consider the following natural extension of this model: each request arrives k times, and the arrival order is a random permutation of the kn arrivals; the al...

The Submodular Secretary Problem

Online auction is an essence of many modern markets, particularly networked markets, in which information about goods, agents, and outcomes is revealed over a period of time, and the agents must make irrevocable decisions without knowing future information. Optimal stopping theory, especially the classic secretary problem, is a powerful tool for analyzing such online scenarios which generally r...

The Secretary Problem

This note reanalyzes a non·zero-sum game version of the secretary problem recently treated by Kurano, Nakagami and Yasuda [3], under a modified formulation of the problem. The equilibrium derived differs from the former one and has an interesting assymptotic behavior which reconfirms a main theorem formerly proved by Presman and Sonin [4]. Th" equilibrium value in the limit is a positive number...

The Temp Secretary Problem

We consider a generalization of the secretary problem where contracts are temporary, and for a fixed duration γ. This models online hiring of temporary employees, or online auctions for re-usable resources. The problem is related to the question of finding a large independent set in a random unit interval graph.