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SEKE 2012 Proceedings - Knowledge Systems Institute

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Figure 6. Three proposals containing most promising issues.<br />

Using AHP, we can rate the issues according to each<br />

proposal. Tables II and III are used as reference for making the<br />

decision for what points to give to each issue in a proposal. If<br />

the issues belong to the goals that are cooperative, then the<br />

points are higher, and the points are lower if the goals are<br />

conflicting to each other. Table IV shows three proposals with<br />

the points given for different issues. For each issue, we<br />

compare three proposals pair-wise by finding geometric mean<br />

for weighting the issues, and the results are listed in Table V.<br />

TABLE IV.<br />

POINTS FOR ISSUES IN DIFFERENT PROPOSALS<br />

Proposal Price Eloquence Necessity Quantity Quality Budget<br />

A 1 1 5 3 1 5<br />

B 5 3 6 5 6 3<br />

C 6 4 6 7 8 3<br />

TABLE V.<br />

WEIGHTING FOR ISSUES ACCORDING TO PROPOSALS<br />

Proposal Price Eloquence Necessity Quantity Quality Budget<br />

A 0.083 0.125 0.294 0.200 0.067 0.455<br />

B 0.417 0.375 0.353 0.333 0.400 0.273<br />

C 0.500 0.500 0.353 0.467 0.533 0.273<br />

Considering Table V as a matrix M ij and the normalized<br />

matrix in Figure 5 as N j , we can evaluate proposals by the sum<br />

of the product of weights. Thus, P i =M ij N j where P i is the<br />

evaluation for Proposals A to C, produces P 0 =0.376, P 1 =0.376,<br />

and P 2 =0.376. From the result, we see that the proposal C is<br />

most promising. However, it contains more issues and requires<br />

more computation than Proposals A or B. If the computation is<br />

a concern, then Proposal B is a good alternative.<br />

IV. DISCUSSION AND CONCLUSION<br />

The effectiveness (E) of a set of issues can be calculated by<br />

E= IU i /PI i , where the numerator is the sum of weights of<br />

all issues used (a set IU) in a proposal and denominator is the<br />

sum of weights of all possible issues (a set PI) available. When<br />

negotiating a purchase, usually the issue Price is a natural<br />

choice as most influential to affect the sales of an item.<br />

However, compared to those proposals mentioned above, E<br />

becomes small if Price is the only issue in IU. Besides this<br />

intuitive discussion, we have developed a simulation<br />

environment to execute negotiation process to compare the use<br />

of different sets of issues. For experiment, negotiation is run 50<br />

times. The success rate of a salesperson is set as 20% for a<br />

correctly chosen issue; otherwise, a salesperson has only 5%<br />

success rate to land a deal. If no deal is reached, then 1% to 3%<br />

price cut is tried until the price offered is lower than 90% of the<br />

original price. The negotiation based on the single issue Price<br />

resulted in 19 successes and 31 failures while Proposal A had<br />

28 successes, Proposal B 32 su ccesses, and Proposal C 38<br />

successes. A notable performance of Proposal C is that it<br />

enabled a deal with 5 or fewer rounds of negotiation. As seen<br />

in Table VI, the result of the simulation showed that the more<br />

effective the issues are, the higher the number of success<br />

becomes.<br />

Success<br />

6<br />

Price 19<br />

(31.6%)<br />

9<br />

A 28<br />

(32.1%)<br />

8<br />

B 32<br />

(25%)<br />

14<br />

C 38<br />

(36.8%)<br />

TABLE VI.<br />

SIMULATION RESULTS<br />

Rounds to reach a deal<br />

1 2 3 4 5 6~10<br />

8<br />

(42.1%)<br />

5<br />

(17.9%)<br />

11<br />

(34.4%)<br />

7<br />

(18.4%)<br />

1<br />

(5.3%)<br />

8<br />

(28.6%)<br />

3<br />

(9.4%)<br />

7<br />

(18.4%)<br />

1<br />

(5.3%)<br />

2<br />

(7.1%)<br />

3<br />

(9.4%)<br />

4<br />

(10.5%)<br />

1<br />

(5.3%)<br />

3<br />

(10.7%)<br />

4<br />

(12.5%)<br />

6<br />

(15.8%)<br />

2<br />

(10.6%)<br />

1<br />

(3.6%)<br />

2<br />

(6.25%)<br />

0<br />

( 0% )<br />

Many agent negotiation strategies depend on th e correct<br />

issues to work on. The selection of issues for negotiation is<br />

important, and there is a need for a process in determining<br />

usable issues. This paper proposes a systematical method based<br />

on goal-driven requirements analysis to produce a set of issues<br />

for agent negotiation. The issues are traceable to user<br />

requirements for better evaluation of effectiveness of issues<br />

used and also the maintenance of issues. The relationship<br />

between issues is studied to u nderstand whether they are in<br />

cooperative or conflicting matter. Another important advantage<br />

of this method is to have information for comparing the<br />

number of issues to be used in a negotiation process. By<br />

integrating the GDUC and AHP methods, our method provide<br />

a way for the user to determine suitable issues according to the<br />

user requirements. The future work is to consider the<br />

dependency among issues, so that a proposal consists of a set of<br />

mutually related issues.<br />

REFERENCES<br />

[1] G. Lai and K. S ycara, “A Generic Framework for Automated Multiattribute<br />

Negotiation,” Group Decision and Negotiation, vol. 18, no. 2,<br />

pp. 169–187, Mar. 2009.<br />

[2] R. Krovi, A. C. Graesser and W. E. Pracht, “Agent Behaviors in Virtual<br />

Negotiation Environments”, IEEE Transactions on <strong>Systems</strong>, Man, and<br />

Cybernetics, Part C: Applications and Reviews, vol. 29, no. 1, pp.15-25,<br />

1999.<br />

[3] M. Hall and G. Holmes, “Benchmarking Issue Selection Techniques for<br />

Discrete Class Data Mining”, IEEE Trans. <strong>Knowledge</strong> and Data Eng.,<br />

vol. 15, no.6, pp.1437-1447, 2003.<br />

[4] N. R. Jennings, P. Faratin, A. R. Lomuscio, S. Parsons, C. Sierra and<br />

M.Wooldridge, “Automated negotiation: Prospects, methods and<br />

challenges”, Int Journal of Group Decision and Negotiation, vol. 10,<br />

pp.199–215, 2001.<br />

[5] J. Lee and Nien-Lin Xue. Analysis User Requirements by the Use<br />

CasesA Goal-Driven Approach, IEEE Software, vol. 16, no. 4, pp.<br />

92101, 1999.<br />

[6] T. L. Saaty, “Highlights and Critical Points in The Theory and<br />

Application of The Analytic Hierarchy Process”, European Journal of<br />

Operational Research, vol.74, no. 3, pp. 426-447, 1994.<br />

[7] J. Lee , N.L. Xue, and K.Y. Kuo, “Structuring requirements<br />

specifications with goals,” Information and Software Technology, vol.<br />

43, pp. 121-135, 2001.<br />

Failure<br />

31<br />

22<br />

18<br />

12<br />

762

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