Skip to main content
SpringerLink
Log in

Repeated Trust Game – Statistical Results Concerning Time of Reaction

  • Chapter
  • First Online:
Transactions on Computational Collective Intelligence XXXIV

Part of the book series: Lecture Notes in Computer Science ((TCCI,volume 11890))

Abstract

The paper presents basic results regarding probability distributions together with the parameters related to the decision-making time in the repeated trust game. The results obtained are of a general nature, related to the waiting time for a reaction in computer-aided systems, as well as a special one related to the characteristics of the decision-makers participating in the experiment.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Notes

  1. 1.

    Similar relationships were observed e.g. in the study Personal Income Distribution ([7], in actuarial losses estimation [15] or examining the duration of a company merger [4].

  2. 2.

    The description of the distributions can be found, for example, in the SAS documentation: http://support.sas.com/documentation/cdl/en/etsug/63939/HTML/default/viewer.htm#etsug_severity_sect017.htm (14.01.2019).

  3. 3.

    As it is defined in the SAS documentation: http://support.sas.com/documentation/cdl/en/etsug/63939/HTML/default/viewer.htm#etsug_severity_sect018.htm (19.01.2019).

  4. 4.

    This distribution is known as the Burr distribution [5].

  5. 5.

    If information about number of rounds (k) is known to the player the game is finitely repeated game: the player should calculate his/her payoff anticipating future results. Otherwise the game is infinitely repeated game.

References

  1. Akai, K., Netzer, R.J.: Trust and reciprocity among international groups: experimental evidence from Austria and Japan. J. Socio-Econ. 41, 266–276 (2012)

    Article  Google Scholar 

  2. Ariely, D., Zakay, D.: A timely account of the role of duration in decision making. Acta Physiol. 108, 187–207 (2001)

    Google Scholar 

  3. Berg, J., Dickhaut, J., McCabe, K.: Trust, reciprocity and social history. Games Econ. Behav. 10, 122–142 (1995)

    Article  Google Scholar 

  4. Buczek, A.: The time to completion of a legal merger: general concepts, statistical analysis and the case of Poland. Oper. Res. Decisions 26(1), 19–44 (2016)

    Google Scholar 

  5. Burr, I.W.: Cumulative frequency functions. Ann. Math. Stat. 13(2), 215–232 (1942)

    Article  MathSciNet  Google Scholar 

  6. Cheyette, S., Konstantinidis, E., Harman, J.L., Gonzalez, C.: Choice adaptation to increasing and decreasing event probabilities. Paper presented at the 38th Annual Meeting of the Cognitive Science Society (CogSci 2016), Philadelphia, PA (2016)

    Google Scholar 

  7. Dagum, C.: A new model of personal income distribution: specification and estimation. Economie Appliquée 30, 413–437 (1977)

    Google Scholar 

  8. Erev, I., Barron, G.: On adaptation, maximization, and reinforcement learning among cognitive strategies. Psychol. Rev. 112, 912–931 (2005)

    Article  Google Scholar 

  9. Gonzalez, C., Meyer, J.: Integrating trends in decision making research. J. Cogn. Eng. Decis. Making. Advance online publication (2016). https://doi.org/10.1177/1555343416655256

  10. Gonzalez, C., Fakhari, P., Busemeyer, J.: Dynamic decision making: learning processes and new research directions. Hum. Factors 59(5), 713–721 (2017). https://doi.org/10.1177/0018720817710347

    Article  Google Scholar 

  11. Gonzalez, C., Lerch, J.F., Lebiere, C.: Instance-based learning in dynamic decision making. Cogn. Sci. 27, 591–635 (2003)

    Article  Google Scholar 

  12. Guillen, P., Ji, D.: Trust, discrimination and acculturation. Experimental evidence on Asian international and Australian domestic university students. J. Socio-Econ. 40, 594–608 (2001)

    Google Scholar 

  13. Hertwig, R., Pleskac, T.J.: The game of life: how small samples render choice simpler. In: Chater, N., Oaksford, M. (eds.) The Probabilistic Mind: Prospects for Bayesian Cognitive Science, pp. 209–235. Oxford University Press, Oxford (2008)

    Chapter  Google Scholar 

  14. Hertwig, R., Pleskac, T.J.: Decisions from experience: why small samples? Cognition 115, 225–237 (2010)

    Article  Google Scholar 

  15. Kleiber, C., Kotz, S.: Statistical Size Distributions in Economics and Actuarial Sciences. Wiley, New Jersey (2003)

    Book  Google Scholar 

  16. Lejarraga, T., Dutt, V., Gonzalez, C.: Instance-based learning: a general model of repeated binary choice. J. Behav. Decis. Making 25, 143–153 (2012)

    Article  Google Scholar 

  17. Lejarraga, T., Hertwig, R., Gonzalez, C.: How choice ecology influences search in decisions from experience. Cognition 124, 334–342 (2012)

    Article  Google Scholar 

  18. Lejarraga, T., Lejarraga, J., Gonzalez, C.: Decisions from experience: how groups and individuals adapt to change. Mem. Cogn. 42, 1384–1397 (2014)

    Article  Google Scholar 

  19. Markowska–Przybyła, U., Ramsey, D.: A Game Theoretical Study of Generalised Trust and Reciprocation in Poland. I. Theory and Experimental Design. Operations Research and Decisions, No. 3 (2014)

    Google Scholar 

  20. Mehlhorn, K., Ben-Asher, N., Dutt, V., Gonzalez, C.: Observed variability and values matter: towards a better understanding of information search and decisions from experience. J. Behav. Decis. Making 27, 328–339 (2014)

    Google Scholar 

  21. Motylska-Kuzma, A., Mercik, J., Sus, A.: Repeatable trust game – preliminary experimental results. In: Nguyen, N.T., et al. (eds.) TCCI 2019. LNCS, vol. 11890. Springer, Cham (2019)

    Google Scholar 

  22. Rakow, T., Miler, K.: Doomed to repeat the successes of the past: history is best forgotten for repeated choices with non-stationary payoffs. Mem. Cogn. 37, 985–1000 (2009)

    Article  Google Scholar 

  23. Russo, J.E., Schoemaker, P.J.: Decision Traps: Ten Barriers to Brilliant Decision-Making and How to Overcome Them. Doubleday/Currency, New York (1989)

    Google Scholar 

  24. Shanks, D.R., Tunney, R.J., McCarthy, J.D.: A re-examination of probability matching and rational choice. J. Behav. Decis. Making 15, 233–250 (2002)

    Article  Google Scholar 

  25. Singh, S.K., Maddala, G.S.: A function for size distribution of incomes. Econometrica 44(5), 963–970 (1976)

    Article  Google Scholar 

  26. Slonim, R., Garbarino, E.: Increases in trust and altruism from partner selection: experimental evidence. Exp. Econ. 11, 134–153 (2008)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. WSB University in Wroclaw, Wroclaw, Poland

    Anna Motylska-Kuźma, Jacek Mercik & Aleksander Buczek

Authors
  1. Anna Motylska-Kuźma
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Jacek Mercik
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Aleksander Buczek
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Anna Motylska-Kuźma .

Editor information

Editors and Affiliations

  1. Wroclaw University of Technology, Wroclaw, Poland

    Ngoc Thanh Nguyen

  2. Swinburne University of Technology, Hawthorn, VIC, Australia

    Ryszard Kowalczyk

  3. WSB University in Wroclaw, Wroclaw, Poland

    Jacek Mercik

  4. WSB University in Wroclaw, Wroclaw, Poland

    Anna Motylska-Kuźma

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer-Verlag GmbH Germany, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Motylska-Kuźma, A., Mercik, J., Buczek, A. (2019). Repeated Trust Game – Statistical Results Concerning Time of Reaction. In: Nguyen, N., Kowalczyk, R., Mercik, J., Motylska-Kuźma, A. (eds) Transactions on Computational Collective Intelligence XXXIV. Lecture Notes in Computer Science(), vol 11890. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-60555-4_6

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-60555-4_6

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-60554-7

  • Online ISBN: 978-3-662-60555-4

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics

Search

Navigation