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Update 01_introduction.asciidoc (#654)
Changed full stop to semicolon after two-fold, before giving the reason.
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@ -80,7 +80,7 @@ Cryptographic systems like Bitcoin and the Lightning Network are systems that al
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The big distinction between a cryptographic system like this and a traditional financial system is that in traditional finance you have a _trusted third party_, for example a bank, to ensure that outcomes are fair. A significant problem with such systems is that they give too much power to the third party, and they are also vulnerable to a _single point of failure_. If the trusted third party itself violates trust or attempts to cheat, the basis of trust breaks.
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As you study cryptographic systems, you will notice a certain pattern: instead of relying on a trusted third party, these systems attempt to prevent unfair outcomes by using a system of incentives and disincentives. In cryptographic systems you place trust in the _protocol_, which is effectively a system with a set of rules that, if properly designed, will correctly apply the desired incentives and disincentives. The advantage of this approach is two-fold. Not only do you avoid trusting a third party, you also reduce the need to enforce fair outcomes. So long as the participants follow the agreed protocol and stay within the system, the incentive mechanism in that protocol achieves fair outcomes without enforcement.
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As you study cryptographic systems, you will notice a certain pattern: instead of relying on a trusted third party, these systems attempt to prevent unfair outcomes by using a system of incentives and disincentives. In cryptographic systems you place trust in the _protocol_, which is effectively a system with a set of rules that, if properly designed, will correctly apply the desired incentives and disincentives. The advantage of this approach is two-fold: Not only do you avoid trusting a third party, you also reduce the need to enforce fair outcomes. So long as the participants follow the agreed protocol and stay within the system, the incentive mechanism in that protocol achieves fair outcomes without enforcement.
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The use of incentives and disincentives to achieve fair outcomes is one aspect of a branch of mathematics called _game theory_, which studies "models of strategic interaction among rational decision makers" footnote:[Wikipedia "Game Theory": https://en.wikipedia.org/wiki/Game_theory]. Cryptographic systems that control financial interactions between participants, such as Bitcoin and the Lightning Network, rely heavily on game theory to prevent participants from cheating and allow participants who don't trust each other to achieve fair outcomes.
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