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Privacy vs. Profit: The Mechanics of Batched DEXs

Abstract and introduction

1 The Procave Pro-average game

1.1 symmetrical pure strict balance

1.2 uniqueness of balance

1.3 Equilibrium Payoff

2 Batched Decentralized Replacement

2.1 Arbitrage

3 conclusions and references

A number

B additional numbers

C relaxing strict coherence

D Rosen conditions

2 Batched Decentralized Replacement

In this section, we will present some basic applications of the above features in a BATCHED decentralized exchange, which we describe below.

Decentralized exchange. A decentralized exchange (or Dex, for short) is a type of exchange that exists in a blockchain. The exchanges give any agent to trade money without the need for a centralized mediator. In many cases, these exchanges are arranged as continuous market makers (see, e.g. [1] For a general introduction to this type of exchange), a special type of automatic market manufacturer that uses a specific function in price ownership.

BATCHED DEXS. A Batched Decentralized exchange is a Dex where trading is attached before they are executed. Particularly, trading is combined -integrated in some way (depending on the type of batching performed) and then exchanged 'all together' by Dex, before disagreeing and passed to users. Although the idea of ​​a Batched Exchange has been suggested several times in different contexts (see, for example, [4] and [13]), Currently, almost all major decentralized exchanges are not overlapping. Recent jobs have been suggested that batching is very useful for privacy [5] and Penumbra [9] has proposed a design for a fully private decentralized exchange that uses batching as a technique for avoiding some leakage of information [2]. We describe a very simple version of this proposal below, which is sufficient for our discussion.

2.1 Arbitrage

A common way of examining markets is through the arbitration lens: the ability to exploit price differences to produce an important risk without risk. From the previous one, we will write G for the forward exchange function of a constant manufacturer of the operating market, which is used by the batching design shown above.

Existence. The thought G differs from 0, we can interpret G 0 (0) as the marginal value of asset B that a person will receive for a marginal value of A. (Function G often does not differ in 0, but one side varying to 0+, which> 0 of the asset A for G (T) of the asset B, and then sell this value of asset b to get g

The (combined -with) arbitration game. In the batched exchange above, arbitrageurs may not trade directly with the ongoing manufacturer of the operating market, but should instead go through the batching process. Thinking that there are n arbitrageurs competing to maximize their income, the next question is: What are the characteristics of this game? Determination

f

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