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A Game Theoretic Model of Choosing a Valuable Good via a Short List Heuristic

Author

Listed:
  • David M. Ramsey

    (Faculty of Computer Science and Management, Wroclaw University of Science and Technology, 50-370 Wrocław, Poland)

Abstract
The Internet gives access to a huge amount of data at the click of a mouse. This is very helpful when consumers are making decisions about which product to buy. However, the final decision to purchase is still generally made by humans who have limited memory and perception. The short list heuristic is often used when there are many offers on the market. Searchers first find information about offers via the Internet and on this basis choose a relatively small number of offers to view in real life. Although such rules are often used in practice, little research has been carried out on determining, for example, what the size of the short list should be depending on the parameters of the problem or modelling how the short list heuristic can be implemented when there are multiple decision makers. This article presents a game theoretic model of such a search procedure with two players. These two players can be interpreted, for example, as a couple searching for a flat or a second-hand car. The model indicates that under such a search procedure the roles of searchers should only be divided when the preferences of the players are coherent or there is a high level of goodwill between them. In other cases, dividing the roles leads to a high level of conflict.

Suggested Citation

  • David M. Ramsey, 2020. "A Game Theoretic Model of Choosing a Valuable Good via a Short List Heuristic," Mathematics, MDPI, vol. 8(2), pages 1-20, February.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:2:p:199-:d:317036
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    References listed on IDEAS

    as
    1. Abhinash Bora & Christopher Kops, 2019. "Rational Choices: An Ecological Approach," Working Papers 1011, Ashoka University, Department of Economics.
    2. Abhinash Borah & Christopher Kops, 2019. "Rational choices: an ecological approach," Theory and Decision, Springer, vol. 86(3), pages 401-420, May.
    3. Dorota Górecka & Ewa Roszkowska & Tomasz Wachowicz, 2016. "The MARS Approach in the Verbal and Holistic Evaluation of the Negotiation Template," Group Decision and Negotiation, Springer, vol. 25(6), pages 1097-1136, November.
    4. Gigerenzer, Gerd & Todd, Peter M. & ABC Research Group,, 2000. "Simple Heuristics That Make Us Smart," OUP Catalogue, Oxford University Press, number 9780195143812.
    5. Ellis, Andrew, 2018. "Foundations for optimal inattention," Journal of Economic Theory, Elsevier, vol. 173(C), pages 56-94.
    6. Horan, Sean, 2016. "A simple model of two-stage choice," Journal of Economic Theory, Elsevier, vol. 162(C), pages 372-406.
    7. Au, Pak Hung & Kawai, Keiichi, 2011. "Sequentially rationalizable choice with transitive rationales," Games and Economic Behavior, Elsevier, vol. 73(2), pages 608-614.
    8. Lleras, Juan Sebastián & Masatlioglu, Yusufcan & Nakajima, Daisuke & Ozbay, Erkut Y., 2017. "When more is less: Limited consideration," Journal of Economic Theory, Elsevier, vol. 170(C), pages 70-85.
    9. Pamela Giustinelli & Charles F. Manski, 2018. "Survey Measures Of Family Decision Processes For Econometric Analysis Of Schooling Decisions," Economic Inquiry, Western Economic Association International, vol. 56(1), pages 81-99, January.
    10. Herbert A. Simon, 1955. "A Behavioral Model of Rational Choice," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 69(1), pages 99-118.
    11. Paola Manzini & Marco Mariotti, 2007. "Sequentially Rationalizable Choice," American Economic Review, American Economic Association, vol. 97(5), pages 1824-1839, December.
    12. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    13. Andrew Caplin & Mark Dean & John Leahy, 2019. "Rational Inattention, Optimal Consideration Sets, and Stochastic Choice," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(3), pages 1061-1094.
    14. Mert Kimya, 2018. "Choice, Consideration Sets, and Attribute Filters," American Economic Journal: Microeconomics, American Economic Association, vol. 10(4), pages 223-247, November.
    15. Jesper Armouti-Hansen & Christopher Kops, 2018. "This or that? Sequential rationalization of indecisive choice behavior," Theory and Decision, Springer, vol. 84(4), pages 507-524, June.
    16. Andreas M. Hefti, 2011. "Attention competition," ECON - Working Papers 028, Department of Economics - University of Zurich.
    17. Minoru Sakaguchi & Vladimir V. Mazalov, 2004. "A non-zero-sum no-information best-choice game," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 60(3), pages 437-451, December.
    18. Analytis, Pantelis P. & Kothiyal, Amit & Katsikopoulos, Konstantinos, 2014. "Multi-attribute utility models as cognitive search engines," Judgment and Decision Making, Cambridge University Press, vol. 9(5), pages 403-419, September.
    19. Urszula Markowska-Przybyła & David Ramsey, 2014. "A game theoretical study of generalized trust and reciprocation in Poland. I. Theory and experimental design," Operations Research and Decisions, Wroclaw University of Science and Technology, Faculty of Management, vol. 24(3), pages 59-76.
    20. repec:cup:judgdm:v:9:y:2014:i:5:p:403-419 is not listed on IDEAS
    21. Leandro Carvalho & Dan Silverman, 2019. "Complexity and Sophistication," NBER Working Papers 26036, National Bureau of Economic Research, Inc.
    22. Hefti, Andreas, 2018. "Limited attention, competition and welfare," Journal of Economic Theory, Elsevier, vol. 178(C), pages 318-359.
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