Fast Auction Guide

Forum rules
Please DO NOT POST BUGS on this forum. Please report (and vote) bugs on : https://boardgamearena.com/#!bugs
Post Reply
User avatar
FBones
Posts: 18
Joined: 07 March 2019, 05:24

Fast Auction Guide

Post by FBones »

I'm writing this as a guide to the Fast Auction option in Terra Mystica. From in-game chats, I gather that many users are a bit confused or baffled by the mechanic. It really should be the default option as it makes play go much faster.

Even though Fast Auction might seem complex and a little spooky, it is very important to recognize that it is constructed so that no one is screwed over---the faction you get will always seem like a "bargain" (or at least no worse than the others.) Most of the time people find they get a really good bargain.

[Note, that you have to be a little careful with Alchemists and Firewalkers (who use victory points early on for growth). It is unwise to ever say "I want Firewalkers no matter what" because it will be very unfun to start a FW game with 0 points!]

I hope this thread promotes better understanding of this mechanic and more adoption of it.

After I get some feedback, I might put this on the Wiki, but I don't think people look at the Wiki much.

Explanation of Traditional Auction
Skip this section if you are familiar with traditional auction.
In a game using traditional auction, players do not select the factions they will play, the just select what factions will be included in the game.

The first player decides what faction will go first in round 1, the second player decides what faction will go second in round 1, etc.

In a traditional auction, players bid one at a time on factions. This is done by players indicating how many points they are willing to start the game with. The most points you can start the game with is 40, and you can "outbid" other players by offering to start with fewer points. Each turn, a player either bids on a faction that has not been bid on or outbids an opponent on a faction that has a bid.

For example:
Image

In the above situation, no one has bid on Conspirators yet. Okometsubu0321 is willing to start the game with just 25 points if get gets to play Prospectors. Thus, he is effectively willing to "spend" 15 points to get this faction (since the max is 40 points.) Alloran has indicated he is willing to start with 36 points with the Atlanteans. FBones is willing to start with 33 points as Treasurers. The 4th player must either choose to take the Conspirators (starting with 40 points), or will have to offer to play one of the other factions for less than the number currently shown. For example, he could offer to start the game with 35 points in order to have the Atlanteans, in which case Alloran would then have to make a bid.

The auction continues over many rounds until all the factions have a bid. Since players typically bid in 1-point increments, it can take many, many rounds to complete an auction. It turn-based games it can take several days or even weeks to complete the auction.

Fast Auction Context
When a game is played with Fast Auction, the initial selection of factions for inclusion in the game is as in traditional auction. But instead of players bidding one at a time, they see a screen asking them to indicate how many points they are willing to spend for each faction. Each player types a number [0 - 40] indicating the number of points he is willing to spend for each faction. This is important: If you enter "20" it does not mean that you will actually end up spending 20 points. (See later section).

Image

Easy Way to Bid Option 1 --- Best to Worst
I am going to give key points later in this post, but if all you want is quick explanation for how to bid. Here is one strategy. It is the one I use.

To use this strategy: if there are any factions you absolutely do not want to play at all, set those factions to 0.
Set the faction you think is best to 40.
For the rest, determine how many points worse those factions are compared to the best faction, and deduct points as necessary.

For example, consider the example in the image above with Auren, Fakirs, Prospectors, and Firewalkers.
Let's say you absolutely did not want to play Auren... either because they are boring, weak in this situation, or you are just wanting something different. Then they would get a 0.
Let's say you think Prospectors are the best faction here. You would enter 40 for them.
Let's say you think Fakirs are 15 points worse than Prospectors , then you would enter 25 (40 - 15) for them.
And if you think Firewalkers are 6 points worse than Prospectors , then you would enter 34 (40 - 6) for them.

Note, it is EXTREMELY unlikely that you would actually have to spend 40 points to play Prospectors or 34 points to play Firewalkers. (See the "Key Points" sections below for details).

Easy Way to Bid Option 2 --- Worst to Best
This is a second option. You can use this if you are ancy about spending too many points.
However, with this version you cannot absolutely forbid a faction like you can with Option 1

To use this auction, order the factions from worse to best.
Set the number for the worst faction to 0 points.
Set each other faction's value based on how much better it is than the next worst one.

Using our example: Auren, Fakirs, Prospectors, and Firewalkers.
Auren are worst (or you don't want to play them), so they get a 0.
Say you consider Fakirs to be only 5 points better than Auren, so enter 5 for them.
You consider Firewalkers to be 9 points better than Fakirs, so enter 14 (5 + 9) for them.
You consider Prospectors to be 6 points better than Firewalkers, so enter 20 (14 + 6) for them.

The rest of this post discusses key points underpinning the methods described above.

First Key Point: Give Higher Numbers to Better Factions
The biggest mistake a player can make is get this interface confused with the traditional auction interface. In the traditional auction, all factions start at 40 and players enter lower and lower numbers, the lower the number, the more you want the faction and the more points you are willing to spend to get it.

With Fast Auction, the situation is reversed. The more you wan a faction, the higher the number you must enter because you are entering the number of points you are willing to spend, not the number of points you start the game with.

Second Key Point: Algorithm Works by Bargain Hunting
To understand the way the Fast Auction works, it simulates an auction in the background where each player looks for the best bargain based on the current bids and the numbers each player entered. It does this by looking at how big the difference is between the current bids and the most the player is willing to spend for each faction.

By way of an example, let's say that in this (virtual, hidden) auction, the situation is as shown in the first image:
  • Okometsubu0321 is willing to spend 15 for Prospectors (requires offering to spend 16 points to outbid)
  • Alloran is willing to spend 4 points to play Atlanteans (requires offering to spend 5 points to outbid)
  • FBones is willing to spend 7 points to play Treasurers (requires offering to spend 8 points to outbid)
And imagine the 4th player has these numbers as the secret values for how many points he is willing to spend:
Prospectors: 13
Atlanteans: 9
Conspirators: 0
Treasurers: 10

So the player things Prospectors are best, then Treasurers, then Atlanteans. The player considers Conspirators the worst faction here.

To determine which faction is the best bargain, the program compares how much the player is willing to spend to how much would be required given the current auction to give a sense of how good a deal the player might get with each:
  • Prospectors: 13 vs 16 -> already requires more than willing to spend
  • Atlanteans: 9 vs 5 -> A bargain of 4 points
  • Conspirators: 0 vs 0 -> A bargain of 0 points
  • Treasurers: 10 vs 8 -> A bargain of 2 points
So the Atlanteans is considered the best bargain. He considers the Prospectors the best faction in absolute sense, but the auction has already progressed passed the maximum points he is willing to spend. He thinks Treasurers are second best, and the price for them (8) is still below his max, but Atlanteans are a better option because there is the biggest gap between the current "price" and the max he is willing to spend.

Key Point 3: Only Relative Values Matter
The next key point to understand is that the absolute numbers you provide do not matter. Only the relative values (how big each is compared to the others) matter.

Take the example described in the last section:
Prospectors: 13
Atlanteans: 9
Conspirators: 0
Treasurers: 10

The actual numbers don't matter. All the matters is that Prospectors are 3 points better than Treasurers, Treasurers are 1 point better than Atlanteans, and Atlanteans are 9 points better than Conspirators.

If the 4th player instead had these numbers the result would have been exactly the same.

Prospectors: 33
Atlanteans: 29
Conspirators: 20
Treasurers: 30

I just added 20 to each one. From a bargain-hunting perspective, you get the same results.
Last edited by FBones on 27 February 2025, 03:50, edited 3 times in total.
User avatar
FBones
Posts: 18
Joined: 07 March 2019, 05:24

Re: Fast Auction Guide

Post by FBones »

I wonder why the images are not showing...
User avatar
RicardoRix
Posts: 2540
Joined: 29 April 2012, 23:43

Re: Fast Auction Guide

Post by RicardoRix »

User avatar
FBones
Posts: 18
Joined: 07 March 2019, 05:24

Re: Fast Auction Guide

Post by FBones »

Thanks, I'll try to find the .png link for the other later today.
Appreciate it! I don't use imgur much.
Stu_1977_SEmelb
Posts: 109
Joined: 31 March 2020, 14:29

Re: Fast Auction Guide

Post by Stu_1977_SEmelb »

This is a fantastic idea, but what happens when two players set their 'best' faction bidding score of 40 against the same faction? 🤔
User avatar
FBones
Posts: 18
Joined: 07 March 2019, 05:24

Re: Fast Auction Guide

Post by FBones »

To clarify, the "Fast Auction" feature is already released. This guide was intended to explain it rather than pitch it as a suggestion.
You can select it by choosing Fast Auction under the Starting VP parameter.

To answer your question about multiple people selecting 40 for the same faction:
  • In the large majority of cases results are determined by the relative differences between factions, so the results would depend on what people choose for the other factions.
  • In those cases where relative differences are not sufficient to fully determine who gets which faction---the outcome depends on the order of the players and the order of the factions.
Let's see a couple examples.

Situation 1: Relative Differences
This one is straightforward.
Imagine in a 3 player game you have the following situation where Player 1 and Player 2 both assign 40 points to Auren:

Player 1
Image

Player 2
Image

Player 3
Image

Result
This is a interesting example because it looks like Player 2 "should" get Auren because he appears to want them even more severely than Player 1. The gap between Auren and other factions is greater for Player 2 than Player 1. But that ignores Player 3.

Player 3 is going to get Fakirs here [he certainly isn't going to get Auren, and the gap between his points for Fakirs and CM (10 points) is bigger than either the gap between those two of the other players].
So Fakirs are out of the question for Players 1 or 2.

For player 1, the gap between Auren and CM is 35. For player 2 the gap is 33. This means that at some point in the virtual auction, player 2 will decide it is a better bargain to switch off to CM rather than bid Auren down even more.

The final results will be something like Player 1 paying 33 points for Auren, Player 2 paying 4 points for Fakirs, and Player 3 getting CM for free.

Note, as I said in the OP, no one can feel screwed over here. Player 3 was willing to spend up to 6 more points to get Fakirs rather than CM. And if the auction were at [Auren starting at 7 points, Fakirs starting at 36 points, CM starting at 40], no player would feel he would have gotten a better bargain by putting in a lower bid for a different faction.

Situation 2: Player & Faction Order Decides
Next imagine the case where the differences are the same.

Say that in 2 player game both players give 40 to the first faction and 10 to the second.
In that case player 1 is going to bid first and the auction will ping-pong between the 2:
Player 1 bids 40 on faction 1
Player 2 bids 39 on faction 1
Player 1 bids 38 on faction 1
...

And this will continue until Player 2 bids 11 on Faction 1, with Faction 2 still at 40.
At this point it is Player 1's turn, but the two choices are of equal value. He would have to bid 10 to continue the bidding war for faction 1, or he can just take faction 2 for 40. This gap [30 points] matches the gap in his points, so they are equal to his mind. I think at that point Player 1 probably chooses Faction 1 because it is the first faction. And then Player 2 gets Faction 2.
I did three test runs, and this seemed to be the case.

Note that if the situation was with 40 & 9 instead of 40 & 10, the results would also be different because at that point it would be Player 2's turn when the equivalence point is reached [the point when the two factions are equal]
Stu_1977_SEmelb
Posts: 109
Joined: 31 March 2020, 14:29

Re: Fast Auction Guide

Post by Stu_1977_SEmelb »

Ahhh... interesting. And awesome. Thank you. 👍💕
Post Reply

Return to “Terra Mystica”