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Frame-based stochastic choice rule

Author

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  • Bhattacharya, Mihir
  • Mukherjee, Saptarshi
  • Sonal, Ruhi

Abstract

We consider an individual decision-making problem where the decision maker is subject to inattention. The source of this inattention is the frames with which the alternatives appear; leading to randomness in choice. We characterize a rule called frame-based stochastic choice rule, according to which the choice probability of an alternative (say, x) is the probability with which attention is drawn by its frame and not by the frames which are associated with the alternatives that beat x according to a complete and antisymmetric binary relation. The choice probability is zero if a better alternative appears with the same frame. The rule and the treatment are largely influenced by Manzini and Mariotti (2014). Our framework is applicable to settings where frames are advertisements or types of packaging.

Suggested Citation

  • Bhattacharya, Mihir & Mukherjee, Saptarshi & Sonal, Ruhi, 2021. "Frame-based stochastic choice rule," Journal of Mathematical Economics, Elsevier, vol. 97(C).
  • Handle: RePEc:eee:mateco:v:97:y:2021:i:c:s0304406821001166
    DOI: 10.1016/j.jmateco.2021.102553
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    References listed on IDEAS

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    1. Paola Manzini & Marco Mariotti, 2014. "Stochastic Choice and Consideration Sets," Econometrica, Econometric Society, vol. 82(3), pages 1153-1176, May.
    2. Ioana Chioveanu & Jidong Zhou, 2013. "Price Competition with Consumer Confusion," Management Science, INFORMS, vol. 59(11), pages 2450-2469, November.
    3. Saptarshi Mukherjee, 2014. "Choice in ordered-tree-based decision problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 43(2), pages 471-496, August.
    4. Matias D. Cattaneo & Xinwei Ma & Yusufcan Masatlioglu & Elchin Suleymanov, 2020. "A Random Attention Model," Journal of Political Economy, University of Chicago Press, vol. 128(7), pages 2796-2836.
    5. Jura Liaukonyte & Thales Teixeira & Kenneth C. Wilbur, 2015. "Television Advertising and Online Shopping," Marketing Science, INFORMS, vol. 34(3), pages 311-330, May.
    6. Li, Jiangtao & Tang, Rui, 2017. "Every random choice rule is backwards-induction rationalizable," Games and Economic Behavior, Elsevier, vol. 104(C), pages 563-567.
    7. Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Y. Ozbay, 2012. "Revealed Attention," American Economic Review, American Economic Association, vol. 102(5), pages 2183-2205, August.
    8. Paola Manzini & Marco Mariotti, 2015. "Modelling Imperfect Attention," Working Papers 744, Queen Mary University of London, School of Economics and Finance.
    9. John T. Gourville & Dilip Soman, 2005. "Overchoice and Assortment Type: When and Why Variety Backfires," Marketing Science, INFORMS, vol. 24(3), pages 382-395, July.
    10. Drew Fudenberg & Ryota Iijima & Tomasz Strzalecki, 2015. "Stochastic Choice and Revealed Perturbed Utility," Econometrica, Econometric Society, vol. 83, pages 2371-2409, November.
    11. Plott, Charles R, 1973. "Path Independence, Rationality, and Social Choice," Econometrica, Econometric Society, vol. 41(6), pages 1075-1091, November.
    12. Rook, Dennis W & Fisher, Robert J, 1995. "Normative Influences on Impulsive Buying Behavior," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 22(3), pages 305-313, December.
    13. Aguiar, Victor H., 2017. "Random categorization and bounded rationality," Economics Letters, Elsevier, vol. 159(C), pages 46-52.
    14. Yuval Salant & Ariel Rubinstein, 2008. "(A, f): Choice with Frames -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(4), pages 1287-1296.
    15. Rik Pieters & Michel Wedel, 2007. "Goal Control of Attention to Advertising: The Yarbus Implication," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 34(2), pages 224-233, June.
    16. Bhattacharya, Mihir & Mukherjee, Saptarshi & Sonal, Ruhi, 2020. "Consumer equilibrium, random choice and hemi-Bayesian revision rule," Economics Letters, Elsevier, vol. 193(C).
    17. Kahle, Lynn R & Homer, Pamela M, 1985. "Physical Attractiveness of the Celebrity Endorser: A Social Adaptation Perspective," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 11(4), pages 954-961, March.
    18. repec:cup:judgdm:v:3:y:2008:i::p:396-403 is not listed on IDEAS
    19. , & ,, 2006. "A model of choice from lists," Theoretical Economics, Econometric Society, vol. 1(1), pages 3-17, March.
    20. Bloch, Peter H & Brunel, Frederic F & Arnold, Todd J, 2003. "Individual Differences in the Centrality of Visual Product Aesthetics: Concept and Measurement," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 29(4), pages 551-565, March.
    21. ,, 2016. "List-rationalizable choice," Theoretical Economics, Econometric Society, vol. 11(2), May.
    22. Paola Manzini & Marco Mariotti, 2015. "Modelling Imperfect Attention," Working Papers 744, Queen Mary University of London, School of Economics and Finance.
    23. H.D. Block & Jacob Marschak, 1959. "Random Orderings and Stochastic Theories of Response," Cowles Foundation Discussion Papers 66, Cowles Foundation for Research in Economics, Yale University.
    24. Echenique, Federico & Saito, Kota & Tserenjigmid, Gerelt, 2018. "The perception-adjusted Luce model," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 67-76.
    25. Manzini, Paola & Mariotti, Marco, 2018. "Dual random utility maximisation," Journal of Economic Theory, Elsevier, vol. 177(C), pages 162-182.
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