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Thoughts to add:
Empty Home Tax
Agree that it could be nice if Empty Home Tax can improve Equality. However, I’m bit concerned since it has Equality,1.0-(0.4*x) in its income modifier. In short, its income could be smaller than predicted at implementation, which might be misleading. I’d also insist that this should boost socialism anyway. Hoarding is totally legit in capitalists’ eyes. Therefore, employing a measure that hurts free market and ending up successfully fixing the problem (housing bubble) will give an impression that it could be okay to put more socialistic ideas into policies.

Equality in general

Equality
There are many ways to measure equality. Conservatives talk of equality of opportunity, socialists talk of equality of outcome. This is just a simple measurement of the distribution of wealth (financial equality of outcome).

The description of Equality in D4 states that it is 'financial equality of outcome. There are few cases this doesn’t apply such as …

  • Single Adoption dilemma (unrelated to redistribution)
  • Public Land Law dilemma (just allowing people enter private properties not redistribution)
  • Public Library policy (it could provide equal access to info but redistribution??)
  • Diversity Quotas for Companies policy (would mean improved racial equality but I don’t think it’s going to improve equality unless the ethnic minorities are generally seen as poor)
  • Public Tax Return policy (it could prevent tax evasion but the policy itself isn’t inherently redistributing wealth imo)

However, I still think that Equality should remain strictly related to redistribution of wealth. (you can refer to my post Regarding the Poor Voters and Poverty Simulation) Therefore, I don’t think social care or poverty should impact equality. It might be okay to add equality boosts to Empty Home Tax & Frequent Flyer Tax but I don’t think the latter will have a significant redistribution effect.

+I’m not sure how high your pledge goal was but I think boosting equality as a capitalist government should be really hard or even painful. The game is already rather easy and there’s no reason to allow players to create an utopia with little efforts too.

+edit 2) Nonetheless, I think there are some policies that deserve equality boost such as Financial Transaction Tax, Rent Control (will wish more penalties for this though), Competition Law, Workers Dividends, and Punitive Wealth Tax.