Motivation Model in Community-Built System - Community-Built Databases: Research and Development - page 196

8.4.4 Formalization of the Motivation Problem

Let us consider the basic components of the motivation model. The proposed
motivation model is an interpretation of the motivation model presented in [ 28 , 52 ].

1. Development process participants
E - editors are responsible for task creation and assessment

(leads of the subject, disposer of the subject repository),

¼ð e 1 ; e 2 ; ... e j ; ...Þ

e e

p ð E Þ¼f w

; l

g -

parameters of stochastic process of editor's arrival, C -

creators coming to choose and solve tasks (develop content with the task
accordance),

¼ð c 1 ; c 2 ; ... c z ; ...Þ

c c

p ð C Þ¼f w

; l

g - parameters of stochastic process of creator's

arrival, where w - distribution law, l - intensity of arrival.

to be a Markovian one, meaning that it has a
stationary, memory-less, and sequential character.
2. Domain ontology
G D

We accept the process p ð E Þ , p ð C Þ

W D K D - ontology graph, where W D ¼f g ¼f w g - nodes of graph (basic

;

concepts), K D ¼f k g - arcs of graph (relations between concepts).

3. Tasks set
R

i - tasks set

¼f r i g ; i ¼ 1 ; 2 ; ... in the frames of a domain D , P ¼

f Q ð r i Þ ; A ð r i Þg

- parameters of task r i , where Q

ð r i Þ

- task r i complexity level,

A ð r i Þ

- task's topicality for the repository. The editors determine the task's
topicality based on the task quality.
4. Editor's motivation function
s

E - motivation function of editors e . The editor's motivation function is a
function which depends on tasks' parameters:

E

and defines
resources appointed to every task r i . The resources can be described by vector
X

s ¼ð Q ð r i Þ ; A ð r i ÞÞ

and mainly cover following items: consultation time, data storage space,
time of access to telecommunication channels, etc. The editor's motivation
function

ð r i Þ

E

s is a monotonously rising function of a discrete argument

i .
5. Creator's motivation function
s

Q ð r i Þ , i ¼ 1 2

; ...

;

z - motivation function of each creator c z . In general, case function z depends

s

z

on parameters of tasks . From the point of view of content

development, the whole group of creators can be divided generally into the
two above mentioned extreme groups. For the first group of creators (interested
in achieving the minimal acceptable success level), the motivation function
s

s ¼ð Q ð r i Þ ; A ð r i ÞÞ

S

is a jest monotonously decreasing function of a discrete argument Q ð r i Þ ;

i , meaning the task complexity. For the second group of creators
(interested in filling the repository with the maximal possible success level -
best quality), the motivation function

i ¼ 1 ; 2 ; ...

C is a monotonously increasing function

s

.
6. Goal function of creator's task choice
In relation to the effectiveness of the decision made, we understand the correla-
tion between the maximal satisfaction of both the creator's and editor's interests

of the same argument Q ð r i Þ