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By V.S.Apte; P.K. Gode, C.G.Karve Editors in chief

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Extra info for Revised and enlarged edition of Prin. V. S. Apte's The practical Sanskrit-English Dictionary. Vol. III

Example text

8 The dentist’s preference on his timetable Figures 9 and 10, respectively. It can be seen that because both negotiators’ utility functions are non-monotonic, they send multiple offers in each negotiation round. The detailed negotiation procedure is displayed in Figure 11. In Figure 11, the xaxis indicates the patient’s utility, and the y-axis indicates the dentist’s utility. ). ). For example, according to the patient’s offer generation function (Figure 9), the patient sends two offers (11 : 00 and 15 : 00) in the first negotiation round.

Then two negotiation mechanisms are proposed to handle two types of nonlinear utility functions respectively, ie. a multiple offers mechanism is introduced to handle non-monotonic utility functions, and an approximating offer mechanism is introduced to handle discrete utility functions. Lastly, a combined negotiation mechanism is proposed to handle nonlinear utility functions in general situations. The experimental results demonstrate the success of the proposed approach. By employing the proposed approach, negotiators with nonlinear utility functions can also perform negotiations efficiently.

If none of the opponent’s offer/s can reach the negotiator’s expectation, then the negotiator will calculate its counter-offer/s and send it/them to the opponent. The negotiation procedure goes back to Step 3. Based on the above protocol, the negotiator a’s action at round t is defined as follows : ⎧ a a t ⎪ ⎪ ⎪Quit, when t = τ ∧ max(U (paˆ →a )) < 0, ⎪ ⎪ ⎪ ⎨ ∗t , when t ≤ τ a ∧U a (p∗t ) ≥ φ a (t), Act a (t) = Accept pa→a (10) ˆ a→a ˆ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎩Offer pt , when t < τ a ∧U a (p∗t ) < φ a (t).

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Revised and enlarged edition of Prin. V. S. Apte's The practical Sanskrit-English Dictionary. Vol. III by V.S.Apte; P.K. Gode, C.G.Karve Editors in chief


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