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Shared Resource Management via Reward Schemes

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Algorithmic Game Theory (SAGT 2014)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 8768))

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Abstract

We study scenarios in which consumers have several alternatives for using a shared resource. We investigate whether rewards can be used to motivate effective usage of the resource. Our goal is to design reward schemes that, in equilibrium, minimize the cost to society and the total sum of rewards. We introduce a generic scheme which does not use any knowledge about the valuations of the consumers, yet its cost in equilibrium is always close to the cost of the optimal scheme that has complete knowledge of the consumers’ valuations. We show that our scheme is essentially optimal in some settings while in others no good schemes exist.

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References

  1. Archer, A., Tardos, É.: Frugal path mechanisms. In: SODA 2002 (2002)

    Google Scholar 

  2. Ben-Elia, E., Ettema, D.: Carrots versus sticks: Rewarding commuters for avoiding the rush-houra study of willingness to participate. Transport Policy 16(2), 68–76 (2009)

    Article  Google Scholar 

  3. Bonsall, P., Shires, J., Maule, J., Matthews, B., Beale, J.: Responses to complex pricing signals: Theory, evidence and implications for road pricing. Transportation Research Part A: Policy and Practice 41(7), 672–683 (2007)

    Google Scholar 

  4. Christodoulou, G., Koutsoupias, E., Nanavati, A.: Coordination Mechanisms. In: Díaz, J., Karhumäki, J., Lepistö, A., Sannella, D. (eds.) ICALP 2004. LNCS, vol. 3142, pp. 345–357. Springer, Heidelberg (2004)

    Chapter  Google Scholar 

  5. Christodoulou, G., Mehlhorn, K., Pyrga, E.: Improving the price of anarchy for selfish routing via coordination mechanisms. In: Demetrescu, C., Halldórsson, M.M. (eds.) ESA 2011. LNCS, vol. 6942, pp. 119–130. Springer, Heidelberg (2011)

    Chapter  Google Scholar 

  6. Cole, R., Dodis, Y., Roughgarden, T.: Pricing network edges for heterogeneous selfish users. In: STOC, pp. 521–530. ACM (2003)

    Google Scholar 

  7. Elkind, E., Sahai, A., Steiglitz, K.: Frugality in path auctions. In: SODA 2004 (2004)

    Google Scholar 

  8. Fleischer, L., Jain, K., Mahdian, M.: Tolls for heterogeneous selfish users in multicommodity networks and generalized congestion games. In: FOCS, pp. 277–285. IEEE (2004)

    Google Scholar 

  9. Fotakis, D., Karakostas, G., Kolliopoulos, S.G.: On the Existence of Optimal Taxes for Network Congestion Games with Heterogeneous Users. In: Kontogiannis, S., Koutsoupias, E., Spirakis, P.G. (eds.) SAGT 2010. LNCS, vol. 6386, pp. 162–173. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  10. Kahneman, D., Tversky, A.: Prospect theory: An analysis of decision under risk. Econometrica: Journal of the Econometric Society, 263–291 (1979)

    Google Scholar 

  11. Knockaert, J., Bliemer, M., Ettema, D., Joksimovic, D., Mulder, A., Rouwendal, J., van Amelsfort, D.: Experimental design and modelling Spitsmijden. Bureau Spitsmijden. The Hague (2007)

    Google Scholar 

  12. Markoff, J.: Incentives for drivers who avoid traffic jams. New York Times (2012)

    Google Scholar 

  13. Milchtaich, I.: Congestion games with player-specific payoff functions. Games and Economic Behavior 13(1), 111–124 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  14. Rescorla, R.A.: A pavlovian analysis of goal-directed behavior. American Psychologist 42(2), 119 (1987)

    Article  Google Scholar 

  15. Rosen, J.B.: Existence and uniqueness of equilibrium points for concave n-person games. Econometrica: Journal of the Econometric Society, 520–534 (1965)

    Google Scholar 

  16. Nofar Sinai. Haaretz TheMarker (2012)

    Google Scholar 

  17. Wikiepdia. London congestion charge (2012)

    Google Scholar 

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Dobzinski, S., Ronen, A. (2014). Shared Resource Management via Reward Schemes. In: Lavi, R. (eds) Algorithmic Game Theory. SAGT 2014. Lecture Notes in Computer Science, vol 8768. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-44803-8_9

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  • DOI: https://doi.org/10.1007/978-3-662-44803-8_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-44802-1

  • Online ISBN: 978-3-662-44803-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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