CAUCHY: Jurnal Matematika Murni dan Aplikasi
Vol 10, No 2 (2025): CAUCHY: JURNAL MATEMATIKA MURNI DAN APLIKASI

Mathematical Modeling of the Decoy Effect to Shift Consumer Preferences in House-Type Purchases

Baskoro, Sentot Eko (Unknown)
Sutapa, I Nyoman (Unknown)
Suhartono, Suhartono (Unknown)



Article Info

Publish Date
30 Nov 2025

Abstract

This study discusses the design of a Mechanism Design-based Decoy Effect Mathematical Model to shift consumer preferences from small-type houses to large-type houses. The model uses area-per-price utility that combines the ratio of building area and land area to price, and formulates the optimization of decoy attributes so that large-type houses dominate but remain close as comparators. The model is explained with a case study, namely large houses are set at a price of  IDR, land area of  m², and building area of  m²; small houses are priced at  million IDR, building area of  m², and land area of  m²; then two types of decoy house prices are set, namely  million and  million IDR. With the ratio of building and land area to price, namely  and  as well as  and , large-type houses excel in terms of building-per-price and are equivalent in terms of land-per-price. Asymmetric decoy houses can be constructed by selecting  and . The results of the mathematical model calculations obtained the closed solutions 'adjacent' and 'strong' for the two types of prices. Sensitivity analysis shows that the target margin advantage increases linearly with  and the context scale , above the base margin . This model provides an operational and easily auditable mechanism in practice.

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Journal Info

Abbrev

Math

Publisher

Subject

Mathematics

Description

Jurnal CAUCHY secara berkala terbit dua (2) kali dalam setahun. Redaksi menerima tulisan ilmiah hasil penelitian, kajian kepustakaan, analisis dan pemecahan permasalahan di bidang Matematika (Aljabar, Analisis, Statistika, Komputasi, dan Terapan). Naskah yang diterima akan dikilas (review) oleh ...