Various Convexities and Some Relevant Properties of Consumer Preference Relations

1 Alonso, S., Herrera-Viedma, E., Chiclana, F., Herrera, F. (2010), A web-based consensus support system for group decision-making problems and incomplete preferences, Information Science, 180(23), 4477-4495. Search in Google Scholar

2 Aumann, R. (1962), Utility Theory without the Completeness Axiom, Econometrica, 30, 445-462. Search in Google Scholar

3 Bewley, T. (1986), Knightian Uncertainty Theory: Part I,” Cowles Foundation Discussion Paper No. 807. Search in Google Scholar

4 Brandl, F., Brandt, F. (2020), Arrovian aggregation of convex preferences, Econometrica, 88(2), 799-844. Search in Google Scholar

5 Cardin, M. (2019), Convex preferences as aggregation of orderings. Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology, vol. 1, 792-796. Search in Google Scholar

6 Cardin, M. (2022), Convex preferences: An abstract approach, Fuzzy Sets and Systems, 446, 233-242. Search in Google Scholar

7 Cettolin, E., Riedl, A. (2019), Revealed preferences under uncertainty: Incomplete preferences and preferences for randomization, Journal of Economic Theory, 181(May), 547-585. Search in Google Scholar

8 Chateauneuf, A., Tallon, J.M. (2002), Diversification, convex preferences, and nonempty core in the Choquet expected utility model, Economic Theory, 19(3), 509-523. Search in Google Scholar

9 Debreu, G. (1959), Theory of Value: An Axiomatic Analysis of Economic Equilibrium, New Haven and London: Yale University Press. Search in Google Scholar

10 Dubra, J., Ok, E.A. (2002), A model of procedural decision making in the presence of risk, International Economic Review, 43(4), 1053-1080. Search in Google Scholar

11 Forrest, J.YL. (2013), A Systemic Perspective on Cognition and Mathematics, Balkema, The Netherlands: CRC Press, an imprint of Taylor and Francis. Search in Google Scholar

12 Halevy, Y., Persitz, D., Zrill, L. (2017), Non-parametric bounds for non-convex preferences, Journal of Economic Behavior & oOrganization, 137(May), 105-112. Search in Google Scholar

13 Hervés-Beloso, C., Cruces, H.V. (2019), Continuous preference orderings representable by utility functions, Journal of Economic Surveys, 33(1), 179-194. Search in Google Scholar

14 Hu, K., Tao, Y., Ma, Y., Shi, L. (2021), Peer pressure induced punishment resolves social dilemma on interdependent networks, Scientific Reports, 11, 15792. Search in Google Scholar

15 Jehle, G., Reny, P. (2000), Advanced Microeconomic Theory (3^rd edition). Pearson. Search in Google Scholar

16 Kubis, W. (1999), Abstract convex structures in topology and set theory. Ph.D. thesis, University of Silesia, Katowice, Poland. Search in Google Scholar

17 Kuratowski, K., Mostowski, A. (1976), Set Theory: With an Introduction to Descriptive Set Theory. Amsterdam: North-Holland. Search in Google Scholar

18 Levin, J., Milgrom, P. (2004), Consumer theory. https://web.stanford.edu/~jdlevin/Econ%20202/Consumer%20Theory.pdf, accessed February 07, 2022. Search in Google Scholar

19 Lin, Y. (guest editor), (2008), Systematic Studies: The Infinity Problem in Modern Mathematics, Kybernetes: The International Journal of Cybernetics, Systems and Management Sciences, 37(3-4), 385-542. Search in Google Scholar

20 Mandler, M. (1999), Incomplete Preferences and Rational Intransitivity of Choice, mimeo, Harvard University. Search in Google Scholar

21 Mani, A., Rahwan, I., Pentland, A. (2013), Inducing peer pressure to promote cooperation, Scientific Report, 3, 01735. Search in Google Scholar

22 Mas-Collel, A., Whinston, M.D., Green, J.R. (1995), Microeconomic Theory. New York, NY.: Oxford University Press. Search in Google Scholar

23 Meng, F.Y., Chen, X.H. (2015), A new method for group decision making with incomplete fuzzy preference relations, Knowledge-Based Systems, 73(January), 111-123. Search in Google Scholar

24 Miller, N.H. (2006), Notes on Microeconomic Theory. https://nmiller.web.illinois.edu/notes.html, accessed July 11, 2022. Search in Google Scholar

25 Ok, E.A. (2002), Utility Representation of an Incomplete Preference Relation, Journal of Economic Theory, 104(2), 429-449. Search in Google Scholar

26 Pancs, R. (2018), Lectures on Microeconomics: The Big Questions Approach. Cambridge, MA: The MIT Press. Search in Google Scholar

27 Silberger, E. (2000), The Structure of Economics: A Mathematical Analysis (3^rd edition). Irwin McGraw Hill. Search in Google Scholar

28 Simon, C.P., Blume, L.E. (1994), Mathematics for Economists. W.W. Norton & Company. Search in Google Scholar

29 van de Vel, M.L.J. (1993), Theory of Convex Structures, North-Holland Mathematical Library, vol. 50, Elsevier, Amsterdam. Search in Google Scholar