Mechanism design-based mathematical modeling of the decoy effect in housing type selection

Baskoro, Sentot Eko, Sutapa, I Nyoman and Suhartono, Suhartono (2025) Mechanism design-based mathematical modeling of the decoy effect in housing type selection. Cauchy: Jurnal Matematika Murni dan Aplikasi, 10 (2). pp. 1349-1360. ISSN 2086-0382

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Abstract

This study develops a mechanism design-based mathematical model to induce a decoy effect in housing selection, shifting consumer preferences from small to large house types. Using an area-per-price utility function and dominance constraints, two optimal decoy configurations (adjacent and strong) are derived analytically. We consider a developer offering a small house (500,000,000 IDR; 40 m2 building; 100 m2 land) and a large house (1,000,000,000 IDR; 100 m2 building; 200 m2 land), and design an additional decoy alternative. By imposing dominance and feasibility constraints, we derive closed-form conditions on the decoy’s building area Ad and land area Ld for two price levels, 750,000,000 IDR and 850,000,000 IDR. The resulting “adjacent” (∆ = 0.002) and “strong” (∆ = 0.010) decoys ensure that the large house weakly dominates the decoy while maintaining internal consistency of preferences. Sensitivity analysis shows that the advantage margin increases linearly with proximity and context intensity parameters. The proposed framework provides developers with an operational and auditable mechanism for housing portfolio design.

Item Type:	Journal Article
Keywords:	attraction effect; asymmetric dominance; mechanism design; hous ing optimization; mathematical modeling.
Subjects:	01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010205 Financial Mathematics 08 INFORMATION AND COMPUTING SCIENCES > 0801 Artificial Intelligence and Image Processing > 080102 Artificial Life
Divisions:	Faculty of Technology > Department of Informatics Engineering
Depositing User:	Dr Suhartono M.Kom
Date Deposited:	08 Dec 2025 11:15

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