IDEAS home Printed from https://ideas.repec.org/a/spr/jogath/v34y2006i4p457-473.html
   My bibliography  Save this article

Stochastic dominance equilibria in two-person noncooperative games

Author

Listed:
  • Andres Perea
  • Hans Peters
  • Tim Schulteis
  • Dries Vermeulen

Abstract

Two-person noncooperative games with finitely many pure strategies and ordinal preferences over pure outcomes are considered, in which probability distributions resulting from mixed strategies are evaluated according to t-degree stochastic dominance. A t-best reply is a strategy that induces a t-degree stochastically undominated distribution, and a t-equilibrium is a pair of t-best replies. The paper provides a characterization and existence proofs of t-equilibria in terms of representing utility functions, and shows that for t becoming large-which can be interpreted as the players becoming more risk averse-behavior converges to a specific form of max-min play. More precisely, this means that in the limit each player puts all weight on a strategy that maximizes the worst outcome for the opponent, within the supports of the strategies in the limiting sequenceof t-equilibria.
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from another version of this item.)
(This abstract was borrowed from anot
(This abstract was borrowed from another version of this item.)

Suggested Citation

  • Andres Perea & Hans Peters & Tim Schulteis & Dries Vermeulen, 2006. "Stochastic dominance equilibria in two-person noncooperative games," International Journal of Game Theory, Springer;Game Theory Society, vol. 34(4), pages 457-473, November.
  • Handle: RePEc:spr:jogath:v:34:y:2006:i:4:p:457-473
    DOI: 10.1007/s00182-006-0035-4
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00182-006-0035-4
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1007/s00182-006-0035-4?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Swait, Joffre & Adamowicz, Wiktor, 2001. "The Influence of Task Complexity on Consumer Choice: A Latent Class Model of Decision Strategy Switching," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 28(1), pages 135-148, June.
    2. Peter C. Fishburn, 1980. "Stochastic Dominance and Moments of Distributions," Mathematics of Operations Research, INFORMS, vol. 5(1), pages 94-100, February.
    3. Train,Kenneth E., 2009. "Discrete Choice Methods with Simulation," Cambridge Books, Cambridge University Press, number 9780521747387, September.
    4. Borgers, Tilman, 1993. "Pure Strategy Dominance," Econometrica, Econometric Society, vol. 61(2), pages 423-430, March.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Hans Peters & Tim Schulteis & Dries Vermeulen, 2010. "Generalized stochastic dominance and bad outcome aversion," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 35(2), pages 285-290, July.
    2. Gummerus, Johanna & Pihlström, Minna, 2011. "Context and mobile services' value-in-use," Journal of Retailing and Consumer Services, Elsevier, vol. 18(6), pages 521-533.
    3. Jacques Durieu & Hans Haller & Nicolas Querou & Philippe Solal, 2008. "Ordinal Games," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 10(02), pages 177-194.
    4. Wiktor Adamowicz & David Bunch & Trudy Cameron & Benedict Dellaert & Michael Hanneman & Michael Keane & Jordan Louviere & Robert Meyer & Thomas Steenburgh & Joffre Swait, 2008. "Behavioral frontiers in choice modeling," Marketing Letters, Springer, vol. 19(3), pages 215-228, December.
    5. Roponen, Juho & Ríos Insua, David & Salo, Ahti, 2020. "Adversarial risk analysis under partial information," European Journal of Operational Research, Elsevier, vol. 287(1), pages 306-316.
    6. Chen Lin & Sriram Venkataraman & Sandy D. Jap, 2013. "Media Multiplexing Behavior: Implications for Targeting and Media Planning," Marketing Science, INFORMS, vol. 32(2), pages 310-324, March.
    7. Collier, Joel E. & Moore, Robert S. & Horky, Alisha & Moore, Melissa L., 2015. "Why the little things matter: Exploring situational influences on customers' self-service technology decisions," Journal of Business Research, Elsevier, vol. 68(3), pages 703-710.
    8. Singh, Sonika & Swait, Joffre, 2017. "Channels for search and purchase: Does mobile Internet matter?," Journal of Retailing and Consumer Services, Elsevier, vol. 39(C), pages 123-134.
    9. Wendel, S. & Dellaert, B.G.C., 2008. "Situation-Based Shifts in Consumer Web Site Benefit Salience: The Joint Role of Affect and Cognition," ERIM Report Series Research in Management ERS-2008-050-MKT, Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam.
    10. Dellaert, Benedict G.C. & Arentze, Theo & Horeni, Oliver & Timmermans, Harry J.P., 2017. "Deriving attribute utilities from mental representations of complex decisions," Journal of choice modelling, Elsevier, vol. 22(C), pages 24-38.
    11. Frank J. van Rijnsoever & Martin J. Dijst & Carolina Castaldi, 2009. "Involvement and use of multiple search channels in the automobile purchase process," Innovation Studies Utrecht (ISU) working paper series 09-06, Utrecht University, Department of Innovation Studies, revised Apr 2009.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Doherty, Edel & Campbell, Danny, 2011. "Demand for improved food safety and quality: a cross-regional comparison," 85th Annual Conference, April 18-20, 2011, Warwick University, Coventry, UK 108791, Agricultural Economics Society.
    2. Carlsson, Fredrik & Raun Mørkbak, Morten & Bøye Olsen, Søren, 2010. "The first time is the hardest: A test of ordering effects in choice experiments," Working Papers in Economics 470, University of Gothenburg, Department of Economics.
    3. Line Bjørnskov Pedersen & Astrid Kiil & Trine Kjær, 2011. "Soccer Attendees’ Preferences for Facilities at the Fionia Park Stadium: An Application of the Discrete Choice Experiment," Journal of Sports Economics, , vol. 12(2), pages 179-199, April.
    4. Fraser, Iain & Balcombe, Kelvin & Williams, Louis & McSorley, Eugene, 2021. "Preference stability in discrete choice experiments. Some evidence using eye-tracking," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 94(C).
    5. Yegoryan, Narine & Guhl, Daniel & Klapper, Daniel, 2018. "Inferring Attribute Non-Attendance Using Eye Tracking in Choice-Based Conjoint Analysis," Rationality and Competition Discussion Paper Series 111, CRC TRR 190 Rationality and Competition.
    6. Elizabeth Kinter & Thomas Prior & Christopher Carswell & John Bridges, 2012. "A Comparison of Two Experimental Design Approaches in Applying Conjoint Analysis in Patient-Centered Outcomes Research," The Patient: Patient-Centered Outcomes Research, Springer;International Academy of Health Preference Research, vol. 5(4), pages 279-294, December.
    7. David A. Hensher, 2006. "How do respondents process stated choice experiments? Attribute consideration under varying information load," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 21(6), pages 861-878, September.
    8. Kosenius, Anna-Kaisa, 2013. "Preference discontinuity in choice experiment: Determinants and implications," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 45(C), pages 138-145.
    9. John Rose & Iain Black, 2006. "Means matter, but variance matter too: Decomposing response latency influences on variance heterogeneity in stated preference experiments," Marketing Letters, Springer, vol. 17(4), pages 295-310, December.
    10. Yanhong H. Jin & James W. Mjelde & Kerry K. Litzenberg, 2014. "Economic analysis of job-related attributes in undergraduate students' initial job selection," Education Economics, Taylor & Francis Journals, vol. 22(3), pages 305-327, June.
    11. Adamowicz, Wiktor & Dupont, Diane & Krupnick, Alan & Zhang, Jing, 2011. "Valuation of cancer and microbial disease risk reductions in municipal drinking water: An analysis of risk context using multiple valuation methods," Journal of Environmental Economics and Management, Elsevier, vol. 61(2), pages 213-226, March.
    12. Luis Márquez & Víctor Cantillo & Julián Arellana, 2020. "Assessing the influence of indicators’ complexity on hybrid discrete choice model estimates," Transportation, Springer, vol. 47(1), pages 373-396, February.
    13. Mike Burton & Dan Rigby, 2009. "Hurdle and Latent Class Approaches to Serial Non-Participation in Choice Models," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 42(2), pages 211-226, February.
    14. Swait, Joffre, 2023. "Distribution-free estimation of individual parameter logit (IPL) models using combined evolutionary and optimization algorithms," Journal of choice modelling, Elsevier, vol. 47(C).
    15. Trine Kjær & Mickael Bech & Dorte Gyrd‐Hansen & Kristian Hart‐Hansen, 2006. "Ordering effect and price sensitivity in discrete choice experiments: need we worry?," Health Economics, John Wiley & Sons, Ltd., vol. 15(11), pages 1217-1228, November.
    16. Shiwen Quan & Yinchu Zeng & Xiaohua Yu & Te Bao, 2018. "WTP for baby milk formula in China: Using attribute nonattendance as a priori information to select attributes in choice experiment," Agribusiness, John Wiley & Sons, Ltd., vol. 34(2), pages 300-320, March.
    17. Weng, Weizhe & Morrison, Mark & Boyle, Kevin J. & Boxall, Peter C., 2017. "The effect of the number of alternatives in choice experiment questions," 2017 Annual Meeting, July 30-August 1, Chicago, Illinois 259179, Agricultural and Applied Economics Association.
    18. Andrew M. Johnson & Tahirou Abdoulaye & Bamikole Ayedun & Joan R. Fulton & Nicole J. Olynk Widmar & Akande Adebowale & Ranajit Bandyopadhyay & Victor Manyong, 2020. "Willingness to pay of Nigerian poultry producers and feed millers for aflatoxin‐safe maize," Agribusiness, John Wiley & Sons, Ltd., vol. 36(2), pages 299-317, April.
    19. Johnson, F. Reed & Ozdemir, Semra & Phillips, Kathryn A., 2010. "Effects of simplifying choice tasks on estimates of taste heterogeneity in stated-choice surveys," Social Science & Medicine, Elsevier, vol. 70(2), pages 183-190, January.
    20. Enni Ruokamo & Mikołaj Czajkowski & Nick Hanley & Artti Juutinen & Rauli Svento, 2016. "Linking perceived choice complexity with scale heterogeneity in discrete choice experiments: home heating in Finland," Working Papers 2016-30, Faculty of Economic Sciences, University of Warsaw.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:jogath:v:34:y:2006:i:4:p:457-473. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.