Abstract
Traditionally, cryptographers assume a “worst-case” adversary who can act arbitrarily. More recently, they have begun to consider rational adversaries who can be expected to act in a utility-maximizing way. Here we apply this model for the first time to the problem of Byzantine agreement (BA) and the closely related problem of broadcast, for natural classes of utilities. Surprisingly, we show that many known results (e.g., equivalence of these problems, or the impossibility of tolerating t ≥ n/2 corruptions) do not hold in the rational model. We study the feasibility of information-theoretic (both perfect and statistical) BA assuming complete or partial knowledge of the adversary’s preferences. We show that perfectly secure BA is possible for t < n corruptions given complete knowledge of the adversary’s preferences, and characterize when statistical security is possible with only partial knowledge. Our protocols have the added advantage of being more efficient than BA protocols secure in the traditional adversarial model.
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Abraham, I., Dolev, D., Gonen, R., Halpern, J.: Distributed computing meets game theory: robust mechanisms for rational secret sharing and multiparty computation. In: PODC 2006, pp. 53–62. ACM Press (2006)
Aiyer, A.S., Alvisi, L., Clement, A., Dahlin, M., Martin, J.-P., Porth, C.: BAR fault tolerance for cooperative services. In: SOSP 2005, pp. 45–58. ACM (2005)
Asharov, G., Canetti, R., Hazay, C.: Towards a Game Theoretic View of Secure Computation. In: Paterson, K.G. (ed.) EUROCRYPT 2011. LNCS, vol. 6632, pp. 426–445. Springer, Heidelberg (2011)
Baum-Waidner, B., Pfitzmann, B., Waidner, M.: Unconditional Byzantine Agreement With Good Majority. In: Jantzen, M., Choffrut, C. (eds.) STACS 1991. LNCS, vol. 480, pp. 285–295. Springer, Heidelberg (1991)
Bei, X., Chen, W., Zhang, J.: Distributed consensus resilient to both crash failures and strategic manipulations, arXiv 1203.4324 (2012)
Clement, A., Li, H.C., Napper, J., Martin, J.-P., Alvisi, L., Dahlin, M.: BAR primer. In: DSN 2008, pp. 287–296. IEEE Computer Society (2008)
Fitzi, M., Gisin, N., Maurer, U., von Rotz, O.: Unconditional Byzantine Agreement and Multi-party Computation Secure against Dishonest Minorities from Scratch. In: Knudsen, L.R. (ed.) EUROCRYPT 2002. LNCS, vol. 2332, pp. 482–501. Springer, Heidelberg (2002)
Fitzi, M., Gottesman, D., Hirt, M., Holenstein, T., Smith, A.: Detectable Byzantine agreement secure against faulty majorities. In: PODC 2002, pp. 118–126. ACM Press (2002)
Gordon, S.D., Katz, J.: Byzantine agreement with a rational adversary. Rump session presentation, Crypto 2006 (2006)
Gordon, S.D., Katz, J.: Rational Secret Sharing, Revisited. In: De Prisco, R., Yung, M. (eds.) SCN 2006. LNCS, vol. 4116, pp. 229–241. Springer, Heidelberg (2006)
Groce, A., Katz, J.: Fair Computation with Rational Players. In: Pointcheval, D., Johansson, T. (eds.) EUROCRYPT 2012. LNCS, vol. 7237, pp. 81–98. Springer, Heidelberg (2012)
Halpern, J., Teague, V.: Rational secret sharing and multiparty computation: Extended abstract. In: STOC 2004, pp. 623–632. ACM Press (2004)
Izmalkov, S., Micali, S., Lepinski, M.: Rational secure computation and ideal mechanism design. In: FOCS 2005, pp. 585–595. IEEE Computer Society Press (2005)
Katz, J.: Bridging Game Theory and Cryptography: Recent Results and Future Directions. In: Canetti, R. (ed.) TCC 2008. LNCS, vol. 4948, pp. 251–272. Springer, Heidelberg (2008)
Lamport, L., Shostak, R.E., Pease, M.C.: The Byzantine generals problem. ACM Trans. Programming Language Systems 4(3), 382–401 (1982)
Li, H.C., Clement, A., Wong, E.L., Napper, J., Roy, I., Alvisi, L., Dahlin, M.: Bar gossip. In: OSDI 2006, pp. 191–204. USENIX Association (2006)
Ong, S.J., Parkes, D.C., Rosen, A., Vadhan, S.: Fairness with an Honest Minority and a Rational Majority. In: Reingold, O. (ed.) TCC 2009. LNCS, vol. 5444, pp. 36–53. Springer, Heidelberg (2009)
Pease, M., Shostak, R.E., Lamport, L.: Reaching agreement in the presence of faults. Journal of the ACM 27(2), 228–234 (1980)
Pfitzmann, B., Waidner, M.: Unconditional Byzantine Agreement for any Number of Faulty Processors. In: Finkel, A., Jantzen, M. (eds.) STACS 1992. LNCS, vol. 577, pp. 339–350. Springer, Heidelberg (1992)
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Groce, A., Katz, J., Thiruvengadam, A., Zikas, V. (2012). Byzantine Agreement with a Rational Adversary. In: Czumaj, A., Mehlhorn, K., Pitts, A., Wattenhofer, R. (eds) Automata, Languages, and Programming. ICALP 2012. Lecture Notes in Computer Science, vol 7392. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31585-5_50
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DOI: https://doi.org/10.1007/978-3-642-31585-5_50
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