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The authors show (see theorem 7.1) that together with the second layer system of endorsement the sincere strategy of the protocol is a near-Nash equilibrium showing in particular that the egocentric-mining strategy does not apply to Ouroboros (See additionally this vital evaluation). Therefore, the proof of consistency and availability of the Ouroboros protocol does not comply with straight from the Backbone Protocol paper. Ouroboros generates the random seed (uniformly distributed) utilizing a secure multi-occasion coin-tossing protocol. Each block proposer of the previous epoch commits to a secret string in the dedication phase which they should reveal at the top of the epoch within the opening part and from which the random seed is derived. The extra strains you allow, the higher the likelihood to have a successful mixture. In order to show excessive likelihood of consistency and liveness of the protocol, some assumptions need to be made. The proof reformulates the problem as biased random walks after which applies likelihood estimates of Markov chains. The safety proof in the static state translates the chain extension rule right into a pure combinatorial argument resulting in the concept of forkable strings.

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