Stochastic preference and group decision

Abstract

In this article a notion of stochastic flow associated to stochastic preference is introduced. It is proved that stochastic flow is a consistent flow if and only if stochastic preference is consistent. If both of them are consistent, the flow and the stochastic preference, then, the normal integral of the flow is the logarithm of value function associated to stochastic preference flow. This means that normal integral of stochastic preference flow, which always exists, can be considered as a generalization of ordinal value function in that context. It is also proved that if flow preference is aweak preference order, then, normal integral of unimodular stochastic flow isa value function. This approach is applied to the data obtained from a web questionnaire when students were asked to give preference flows for certain criteria over the set of their lecturers. In that case the stochastic flow andthe group flow generate equivalent ranking. Finally, we calculated the Condorcetćs flow and Savagećs value function associated to its unimodular flow. The ranking obtained from Condorcetćs flow is not equivalent to ranking obtained from stochastic flow. In this article we show that stochastic flow and group flow from ¡Caklovi c (2003b) generate equivalent ranking (see Tables2 and 3). That means that in situations when only rating is the aim of the experiment one can organize a questionnaire to collect data only for stochastic flow, i.e. using the scale -1 , 0 , 1. This is less time consuming than giving strength of a preference for each pair of alternatives.

Keywords

Statistične metode;

Data

Language:	English
Year of publishing:	2005
Typology:	1.01 - Original Scientific Article
Organization:	UL FDV - Faculty of Social Sciences
Publisher:	Fakulteta za družbene vede
UDC:	311
COBISS:	24324957
ISSN:	1854-0023
Views:	581
Downloads:	35
Average score:	0 (0 votes)
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Other data

Secondary language:	Unknown
Secondary keywords:	Statistical methods;
URN:	URN:NBN:SI
Type (COBISS):	Not categorized
Pages:	str. 125-134
Volume:	ǂVol. ǂ2
Issue:	ǂno. ǂ1
Chronology:	2005
Keywords (UDC):	social sciences;družbene vede;statistics as a science;statistical theory;statistika;statistična teorija;
ID:	1467984