In a six-player property trading game, the long middle stretch is decided by trades, not by dice. If the board's cities were dealt out at random, the whole table would hold, on average, just a third of a finished country between them. So nobody gets there alone, and property game strategy at six seats is mostly trading cities. The player who sets up the first fair swap sets the pace for the other five. What follows is the arithmetic, then the habits that keep you alive until the table makes its mistakes.

What six seats do to the board

Property Rush seats two to six players. Its board has 22 cities spread over eight countries. Brazil and Canada have two cities each. The other six countries have three.

Six players on 22 cities means three or four cities each, if every city is bought and the split is even. Unless the host switches the shuffle off, who rolls first is drawn at random, so being the host buys you nothing. A city that nobody wants at its price is auctioned off by default, so a passed city never stays idle for long.

The rent rule is the one that matters. Hold every city of a country and all its rents double, before any building starts. Hosts can turn that off, but it is on by default. Most of the middle game is a way to complete a country, or to stop a rival from doing it.

A random deal leaves most tables with no finished country

A worked example follows. Imagine the 22 cities dealt at random to six players: four players get four cities, two get three. What is the chance that a given country's cities all land in one hand?

For a three-city country, count the ways to draw its three cities from one hand: four hands of four give 4×3×2 = 24 each, two hands of three give 3×2×1 = 6 each. That is 108 out of 22×21×20 = 9,240 orderings, about 1.2%. For a two-city country, four hands give 4×3 = 12 each and two give 3×2 = 6 each, so 60 out of 22×21 = 462, about 13%.

There are six three-city countries and two two-city ones. Add them up: 6 × 1.2% + 2 × 13% = 0.33. That is the expected number of finished countries after the deal. Run the same sum for other table sizes and the picture shifts fast.

  • 2; cities each: 11; countries finished, on average: 2.24

  • 4; cities each: 5 or 6; countries finished, on average: 0.67

  • 6; cities each: 3 or 4; countries finished, on average: 0.33

This is my own arithmetic, not a simulation of play, and it assumes a random deal. Real owners come from where pieces land and what the auction clears. The point is the trend. Two players hold half the board each and finish countries by accident. Six players hold slivers, and a sliver of every country is a stalemate.

Trade early, and trade evenly

A swap goes through only when both sides accept. So the offers that survive are the ones that help both of you. If you hold two of Italy's three cities and a rival holds the third, while you hold the one city they need in France, there is a deal. Make it before somebody else spots it.

With six at the table, two habits help.

First, do not be the first to finish a country if you can avoid it. Once you have double rent, the other five have a shared reason to refuse your offers. Complete yours second, or at the same moment as a partner. That is judgment, not data, but the reasoning is plain: a trade needs a yes, and a leader gets fewer of them.

Second, let a trade complete two countries, not one. A lopsided swap makes one strong player and four irritated ones. An even swap makes two strong players, and the rest of the table has to deal with a pair instead of a runaway.

The rules in this piece are the ones in Boardit's Property Rush, where a table seats up to six.

What happens when you cannot pay rent?

A rent bill you cannot cover is not the end. Your balance drops below zero, and the dice stay locked until you raise money by mortgaging, selling or trading. Only bankruptcy, or going quiet long enough for the idle clock to act, takes you out. Turns are untimed, but 150 seconds without a move removes you.

You can mortgage a city to raise cash, but it is not free. Lifting a mortgage costs ten per cent extra, and a house sells back for half its cost. So the cushion is not a round number. It is whatever you would need to survive one landing on a built-up country without selling the city you were saving.

How many houses are in the bank? Thirty-two, plus 12 hotels, and that shared supply adds a six-player twist. One three-city country with four houses on each city takes twelve houses. Two such countries take 24. A third needs twelve more and only eight are left, until somebody upgrades to hotels and hands houses back. At a full table, whoever builds third can be blocked simply by the supply running dry. Count the houses before you spend your cash.

Three habits for the long middle

  • 1. Offer one swap every lap. A table that never trades never finishes a country, and a game with no round limit then just drifts.

  • 2. Keep the cash to survive your next two likely landings, not just your next one.

  • 3. Count the houses in the bank before you commit to a build.

Property Rush is an independent Monopoly alternative, and six people can play it online with friends on phones or laptops, with no download. Plan for a long middle, and the end takes care of itself.

Boardit is not affiliated with or endorsed by Hasbro.

By Ahmed Moaz, who builds Boardit.