Skip to main content

Formalizing Risk Strategies and Risk Strategy Equilibrium in Agent Interactions Modeled as Infinitely Repeated Games

  • Conference paper
Agent Computing and Multi-Agent Systems (PRIMA 2006)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4088))

Included in the following conference series:

Abstract

To design intelligent agents for multi-agent applications, like auctions and negotiations, we need to first analyze how agents should interact in these applications. Game theory is a tool, which can be used. In game theory, decision-making often depends on probability and expected utility. However, decision makers usually violate the expected utility theory when there is risk in the choices. Instead, decision makers make decisions according to their attitudes towards risk. Also, reputations of other agents in making certain actions also affect decision-making. In this paper, we make use of risk attitude, reputation and utility for making decisions. We define the concepts of risk strategies, risk strategy equilibrium, and a formalized way to find the risk strategy equilibrium in infinitely repeated games. Simulations show that players get higher payoff by using risk strategies than using other game theoretic strategies.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Gagne, R.: The Conditions of Learning. Holt, Rinehart and Winston, New York (1985)

    Google Scholar 

  2. He, M., Leung, H.F., Jennings, N.: A fuzzy-logic based bidding strategy for autonomous agents in continuous double auctions. IEEE Transactions on Knowledge and Data Engineering 15(6), 985–1003 (2003)

    Google Scholar 

  3. Amosweb economic gloss, http://www.amosweb.com/gls

  4. Kahneman, D., Tversky, A.: Prospect theory: An analysis of decision under risk. Econometrica 47(2), 263–291 (1979)

    Article  MATH  Google Scholar 

  5. Lam, K.M., Leung, H.F.: Risk strategies and risk strategy equilibrium in agent interactions modeled as normal repeated 2 ×2 risk games. In: The Eighth Pacific Rim International Workshop on Multi-Agents (Paper received the Best Paper Award) (2005)

    Google Scholar 

  6. Lam, K.M., Leung, H.F.: A trust/honesty model with adaptive strategy for multiagent semi-competitive environments. Autonomous Agents and Multi-Agent Systems (to appear)

    Google Scholar 

  7. Liu, Y., Goodwin, R., Keonig, S.: Risk-averse auction agents. In: Proceedings of Autonomous Agents and Multi-Agent Systems, pp. 353–360 (2003)

    Google Scholar 

  8. Luce, R.D., Raiffa, H.: Games and Decisions. John Wiley and Sons, New York (1957)

    MATH  Google Scholar 

  9. Mui, L., Mohtashemi, M., Halberstadt, A.: A computational model of trust and reputation. In: Proceedings of 35th Hawaii International Conference on System Science (2002)

    Google Scholar 

  10. Nash, J.F.: Equilibrium points in n-person games. In: Proceedings of the National Academy of Science of the United States of America, pp. 48–49 (1950)

    Google Scholar 

  11. Osborne, M.J., Rubinstein, A.: A Course in Game Theory. MIT Press, Cambridge (1994)

    MATH  Google Scholar 

  12. Rubiera, J.C., Lopez, J.M.M., Muro, J.D.: A fuzzy model of reputation in multi-agent systems. In: Proceedings of the Fifth International Conference on Autonomous Agents, pp. 25–26 (2001)

    Google Scholar 

  13. Sabater, J., Sierra, C.: Regret: A reputation model for gregarious societies. In: Proceedings of Fourth International Workshop on Deception, Fraud and Trust in Agent Societies (2001)

    Google Scholar 

  14. Sartain, A.Q., North, A.J., Strange, J.R., Chapman, H.M.: Psychology | Understanding Human Behavior. McGraw-Hill, New York (1962)

    Google Scholar 

  15. Staw, B.M., Sandelands, L.E., Dutton, J.E.: Threat-rigidity effects in organizational behavior: A multilevel analysis. Administrative Science Quarterly 26, 501–524 (1981)

    Article  Google Scholar 

  16. von Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior. Princeton University Press, Princeton (1944)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2006 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lam, Km., Leung, Hf. (2006). Formalizing Risk Strategies and Risk Strategy Equilibrium in Agent Interactions Modeled as Infinitely Repeated Games. In: Shi, ZZ., Sadananda, R. (eds) Agent Computing and Multi-Agent Systems. PRIMA 2006. Lecture Notes in Computer Science(), vol 4088. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11802372_16

Download citation

  • DOI: https://doi.org/10.1007/11802372_16

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-36707-9

  • Online ISBN: 978-3-540-36860-1

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics