Research on the Satisficing Policy of the Secretary Problem

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Abstract:

The methods for determining optimal policies are core problems in the standard secretary problem. The optimal policies are based on the hypothesis of complete rationality. However, some experimental researches showed that decision makers in reality often stopped searching earlier. In this paper, some assumptions of the standard secretary problem are weakened and a satisficing policy based on the hypothesis of bounded rationality is proposed to describe the choice behavior of a decision maker. Moreover, the possibility degree of the decision-maker to choose the satisfactory item is calculated.

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1924-1927

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September 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] D.V. Lindley. Dynamic programming and decision theory[J]. Applied Statistics, 1961 34 (10) 39-51.

Google Scholar

[2] J. Gilbert, F. Mosteller. Recognizing the maximum of a sequence[J]. Journal of the American Statistical Association, 1966 61 (1) 35-73.

DOI: 10.1080/01621459.1966.10502008

Google Scholar

[3] D.A. Seale, A. Rapoport. Sequential Decision Making with Relative Ranks: an Experimental Investigation of the Secretary Problem, [J]. Organizational behavior and human decision processes, 1997 69 (3) 221-236.

DOI: 10.1006/obhd.1997.2683

Google Scholar

[4] R. Zwick, A. Rapoport and A.K.C. Lo, et al. Consumer sequential search: not enough or too much? [J]. Marketing Science, 2003 22 (4) 503-519.

DOI: 10.1287/mksc.22.4.503.24909

Google Scholar

[5] J.N. Bearden, A. Rapoport and R.O. Murphy. Sequential observation and selection with rank-dependent payoffs: an experimental study[J]. Management Science, 2006 52 (9) 1437-1449.

DOI: 10.1287/mnsc.1060.0535

Google Scholar

[6] J. Gianini-Pettit. Optimal selection based on relative ranks with a random number of individuals[J]. Advances in Applied probability, 1979 11 (4) 720–736.

DOI: 10.2307/1426856

Google Scholar

[7] R. Cowan, J. Zabczyk. An optimal selection problem associated with the Poisson process[J]. Theory of Probability and its Application, 1978 23 (3) 584–592.

DOI: 10.1137/1123066

Google Scholar

[8] J.D. Petrucelli. Full-information best-choice problems with recall of observations and uncertainty of selection depending on the observation[J]. Advances in Applied probability, 1982 14 (2) 340–358.

DOI: 10.2307/1426525

Google Scholar

[9] M.H. Smith. A secretary problem with uncertain employment[J]. Journal of Applied Probability, 1975 12 (3) 620–624.

DOI: 10.2307/3212880

Google Scholar