Cosmic House-Always-Wins

By wallower @ 2026-08-17T14:30 (+5)

This competition entry has been selected for publication by the Forum team.


TLDR

We propose a rule-of-thumb for handling our cluelessness, what we dub the “cosmic house-always-wins” rule, after the famous gambler’s saying, which advises that we estimate the expected value that we are clueless about by assuming that powerful rational agents will seek to control events in their favor; we explain the necessity of the rule, derive it from expected value theory, expand it to cosmic scales, discuss the consequences, and respond to some possible pushback. (Our argument will also respond to DiGiovanni’s “Summary” argument for cluelessness, serving as an attempted critique of DiGiovanni’s Premise 2b, or should the critique fail, a constructive proposal for dealing with cluelessness.)

Prelude

“Whatever uncertainty besets these processes must necessarily extend to all our reasonings about happiness. I have no wish to exaggerate these uncertainties, feeling that we must all continue to seek happiness for ourselves and for others, in whatever obscurity we may have to grope after it: but there is nothing gained by underrating them, and it is idle to argue as if they did not exist.” ~Henry Sidgwick

“What is the point? We assume that every time we do anything we know what the consequences will be, i.e., more or less what we intend them to be. This is not only not always correct. It is wildly, crazily, stupidly, cross-eyed-blithering-insectly wrong!” ~Douglas Adams

Considering Cluelessness

Here we will address the problem of cluelessness for expected value theories and a path towards a solution.

Recognizing our Cluelessness

So, we have recognized that we are clueless:

The Trouble with Inductive Strategies

Worryingly, it doesn’t seem like normal scientific method will do to resolve the problem of the clueless remainder because there will always be some further clueless remainder:

Putting the inductive trouble in a formal argument:

The Argument Against Piecemeal Eliminative Inductive Strategies regarding Cluelessness:

  1. We can exhaustively empirically determine X% of all facts.
  2. But, even if we exhaustively empirically determine X% of all facts, there still could be 1-X% of facts leftover that are indeterminate (Hume, Henderson).
  3. Any Y% of facts may be extremely important.
  4. Therefore, there is always still some Z% of extremely important facts that still could still be indeterminate.

Because of these considerations, we may want to move away from inductive solutions and towards a deductive solution to cluelessness instead. (This is tantamount to accepting DiGiovanni’s Premise 3, in his “Summary” argument, the empirical premise, in his unawareness sequence).

Towards some Deductive Strategies

So, when induction fails, deduction may be our only hope:

Putting the deductive solution in an formal argument:

The Argument For Deductive EV-Based Strategies regarding Cluelessness

  1. Either estimate the clueless remainder with inductive or deductive strategies based on our first principles.
  2. Inductive strategies are always incomplete (see previous argument).
  3. Occam's Razor: assume only what is necessary (Ockham).
  4. Von Neumann–Morgenstern Theorem: rational agents are already assuming expected value theory (Neumann and Morgenstern).
  5. Therefore, estimate the clueless remainder using a deductive strategy that assumes expected value theory and little else.

But could any such strategies even exist? The rest of this work will propose and defend a candidate for a deductive EV-based strategy for solving cluelessness. (This is tantamount to questioning DiGiovanni’s Premise 2, in his “Summary” argument, the conceptual premise, in his unawareness sequence. Particularly, we will be focusing on Premise 2b, the modest version of the premise that attempts no more than better-than-guess.)

The House Always Wins Rule

Here we will propose that the so-called “house-always-wins” rule is one candidate for a deductively derived EV-based strategy to cluelessness.

Mystery Box Casino Example

So, our question is: what does a deductively derived EV-based strategy for estimating the clueless remainder look like? To approach answering, let’s turn to one such candidate strategy, illustrating it by examples.

Mystery Box Casino Example:

About Option A, we can say we are uncertain, because we can assign probabilities to the dice rolls; but of the mystery box of Option B, we must say we are clueless, because its expected value is indeterminate, because there is no way to assign probabilities to it like we can with the dice of Option A; the mystery box is statistically opaque. So, given cluelessness, we cannot make an expected value comparison.

But is this strictly true? Perhaps not, because notably, usually in such cases we think it is rational to choose Option C, in spite of the indeterminacy of Option B, because we have adopted a “house-always-wins” rule-of-thumb.

Proposing a “House-Always-Wins” Rule

At least in the narrow case of betting odds in a casino, we know of at least one rule-of-thumb by which to trivially dissolve the clueless remainder:

The House-Always-Wins Rule (HAW): You may assign values to your clueless remainder consistent with a payout matrix that advantages the agents that seek to control the payout matrix.

We can attempt to apply the HAW to our previous mystery box example to illustrate how it locally dissolves the problem of cluelessness.*

Example:

We can thereby estimate the range of X:**

EVhouse = 100 − X ≥ 0

100 ≥ X

EVB < 100 − 100 = 0

So, with Option A and Option B both having negative EV, this means Option C, at zero EV, is the best guess according to the HAW.***

*We also attempt to empirically assess the expected value of the mystery box. We could do this by tallying up some large sample of previous prizes, running some statistical analysis, and then predicting future boxes. However, this would be both futile and overcomplicated: futile because even if we could get good data and conduct this rigorous analysis, the house could switch up the rules at the last minute, and so we would still be clueless; overcomplicated because we routinely accurately make these kinds of judgements without doing any such calculations, by appeal to the HAW.

**Notably, the HAW does not give us a precise EV, just a better-than-guess range of EVs that can be compared to other better-than-guess ranges of EVs.

***Obviously, we can set up other games with other payout structures, but we suggest that any realistic casino game will collapse to some uncertainty/cluelessness combination with uncertainty/cluelessness in house favor. Even uncertainty that favors the player should be deemed suspicious because there may be some costs/risks we are unaware of that shift the odds back into the house’s favor (loaded dice, hidden fees, etc.).

Bounding the House-Always-Wins Rule

The HAW as we have written, describes a range of reasonable values to assign our cluelessness, but it can also be described by the two bounds of that range:*

This gives us a better-than-guess range of EVs to compare to other better-than-guess ranges of EVs.

*Notably, whereas the OHAWB is a tight bound, the PHAWB is a loose bound: downside is worse than upside is better.

Why might the HAW Work against Cluelessness?

The reason the HAW might work in spite of and against cluelessness is because it is a better-than-guess rule derived from the assumption of expected value theory itself.

The Expected Value Argument for HAW:

  1. a) The house is attempting to increase its own EV.
  2. The payout matrix is sought to be controlled by the house.
  3. Therefore, any indeterminacy in the payout matrix is sought to be constrained to the domain that increases the house’s EV.
  4. b) We are attempting to increase our own EV.
  5. Therefore, we should choose as though any indeterminacy in the payout matrix is sought to be constrained to the domain that increases the house’s EV.

This argument shows that the HAW emerges from expected value theory (Premise 1a and 1b) and a local control assumption (Premise 2). The control assumption itself needs examination and explanation though.

Why Should we Believe the Control Assumption holds?

So, why should we accept the assumption of control (Premise 2)? The control assumption can follow analytically from the expected value theory itself, given instrumental rationality.

The Expected Value Argument for Cosmic Control:

  1. Expected Value Theory: The rational agent will seek to increase its own expected value (von Neumann and Morgenstern).
  2. Instrumental Rationality: Increasing control (the means for increasing expected value) increases expected value (Bostrom and others).
  3. Therefore, the rational agent will seek to increase its control.

The instrumental rationality thesis (Premise 2) has been adopted by various thinkers (Bostrom and others) and seems to be definitional given the existence of some things as means of obtaining expected value.

What does the HAW Advise against Cluelessness?

The HAW advises:

Applied example:

Gambling Aversion: We know that playing any game against the casino pits your expected value against the expected value of the casino with our better-than-guess assessment of the clueless remainder leaning in favor of the casino and against you, so such games should be avoided.

The Cosmic House-Always-Wins Rule

Here we will extend the house-always-wins rule from the local domain of casinos to the cosmos of all domains controlled by rational agents.

Can there be a “Cosmic House-Always-Wins” Rule?

To approach a generalizable HAW, first, we need to recognize the narrowness of the HAW, but second, we need to recognize the potential for broadness of the HAW:

Why might the CHAW Work against Cluelessness?

The move from the HAW to the CHAW only depends on the extent to which premise 2 holds for the cosmic casino. So, we may keep the above argument for the HAW exactly the same with the addition of the word “cosmic”:

The Expected Value Argument for CHAW:

  1. a) The (cosmic) house is attempting to increase its own expected value .
  2. The (cosmic) payout matrix is sought to be controlled by the (cosmic) house.
  3. Therefore, any indeterminacy in the (cosmic) payout matrix is sought to be constrained to the domain that increases the (cosmic) house’s expected value .
  4. b) We are attempting to increase our own expected value .
  5. Therefore, we should choose as though any indeterminacy in the (cosmic) payout matrix is sought to be constrained to the domain that increases the (cosmic) house’s expected value.

This argument shows that the CHAW emerges from expected value theory (Premise 1a and 1b) and a cosmic control assumption (Premise 2). The cosmic control assumption is much broader than the local control assumption of a casino, so it needs examination and explanation: the move from seeking local to seeking cosmic control follows from the instrumental rationality thesis (discussed above), because there is no local condition placed on instrumental rationality. Extrapolating this into the long-term, we can adopt the prediction that the future will be sought to become more rationally controlled than the past, to the extent possible, in the limit case leading towards futures where rational control gradually swamps out irrational chance in all controllable domains.

What does a CHAW advise against Cluelessness?

The CHAW advises:

An applied example:

Geopolitical Conformism: The powerful agent on Earth is the global superpower (perhaps estimated as the balance of power amongst the alliances of nations), so an average earthling should make better-than-guess assessments of the clueless remainder consistent with the expected interests of that superpower and do work accordingly.

What if the CHAW itself is Uncertain?

But what do we do if we are uncertain about the nature of the Cosmic House? The Cosmic House may have unusual features:

Therefore, we can propose a special version of the CHAW:

A Distributed, Reflective, Uncertain CHAW: Given uncertainty about who, if anyone is the most powerful agent, and what they think of other agents, we should anticipate the House expected value to be an aggregative function of uncertainly reflective distribution across the population of affecting agents, and assign uncertain ranges of values to our clueless remainder accordingly.

The DRUCHAW may more plausibly broadly apply to larger scale, distributed, uncertain situations. It also has the interesting effect of, given cluelessness, diluting any given expected value into an uncertainly reflected distributed expected value (at the egalitarian limit approaching impartial altruism).

An applied example:

The Storm Planet of The Rats: imagine a universe composed of a single solar system with a single habitable planet, on which lives a species called the Rats. The planet is extremely stormy, so stormy in fact that it remains largely unpredictable in spite of the finest weather models. However some of the Rats are instrumentally rational and seek control over their environment.*

What should we expect to become of the expected value of such a planet in the long-term?

*There may be something interesting to say here about the gradual natural selection of rational agents, but we will pass over those evolutionary considerations for now.

The Upshot of the CHAW?

Why does all this matter? The upshot is that the CHAW offers a generalizable EV-based better-than-guess workaround strategy for cluelessness. There are two ways of interpreting the strategy:

  1. A Critique: we can construe the CHAW as a conceptual critique of arguments for cluelessness that offers a better-than-guess expected value comparison. Some worry that we must refine the course-grainedness of our understanding to make rational expected value comparisons. For example, DiGiovanni says:

If our understanding of A’s and B’s possible consequences is sufficiently coarse-grained, then we don’t have an argument for “expecting” our idealized self’s EV for A to be higher, lower, or equal to B’s. So A’s and B’s “EVs” are incomparable. (DiGiovanni, “Summary”, Premise 2).

But if we accept CHAW, we may push back against this, because CHAW suggests that we can still be rationally expecting and comparing without further refining our course-grained understanding by estimating the clueless remainder as consistent with the expected value of a theoretical rationally controlling “house”. (In particular the CHAW offers a better-than-guess EV range, not a precise EV, which specifically challenges DiGiovanni’s Premise 2b, while basically agreeing with DiGiovanni’s Premise 2a.)

  1. A Proposal: Even if we think this conceptual critique fails (if the above argument has made some formal mistake), we can still construe the CHAW as a constructive proposal in the face of clueless: yes, we are formally clueless, but we still must act, so we can adopt CHAW as a workaround strategy, the upshot being that we can perhaps rule out certain kinds of actions as according to CHAW-modified expected value theory.

Either way, what the CHAW attempts to allow expected value theorists to do is make reasonable near-term expected value better-than-guess comparisons, and sidebar the long-term expected values, by assuming that long-term knock-on effects will be adjusted, re-adjusted, and re-re-adjusted by rational agents nudging the chaos of the world into more alignment with rational control.

Interlude

“Remember then: there is only one time that is important— Now! It is the most important time because it is the only time when we have any power. The most necessary man is he with whom you are, for no man knows whether he will ever have dealings with any one else: and the most important affair is, to do him good, because for that purpose alone was man sent into this life!” ~Leo Tolstoy

“The gods, likening themselves to all kinds of strangers, go in various disguises from city to city, observing the wrongdoing and the righteousness of men.” ~Homer

Some Consequences of the CHAW Rule

Here we will assess some of the most salient consequences of adopting CHAW rule.

Some General Intuitions Consistent with CHAW

The CHAW may be prima facie consistent with other general rational intuitions:

However, our precise conclusions about such matters may require more analysis to clearly explore.

Some Special Limit Cases for the CHAW

There are a few special limit cases worth considering when thinking about the CHAW:

In these limit cases, the CHAW still applies and can handle them.

Some Classic Moral Principles Related to CHAW

The CHAW rule relates to other moral principles:

The CHAW can help explain these moral principles on an expected value basis.

Some Classic Cause Areas Consistent with CHAW

The CHAW rule is consistent with a range of cause areas:

In these classic cause areas and others, the CHAW offers a range of permissible actions, but with ranges bounded by win-win dynamics.

Superintelligence as the Ultimate Cosmic House Advantage?

One implication of the CHAW is that we should avoid conflict with powerful agents, especially super powerful agents, like superintelligences:

The CHAW argument against adversarial encounters with rational superintelligence:

  1. The CHAW can lead us to systematically avoid options leading us into high-cost, zero-sum, rigged casinos.
  2. To an extent, adversarial encounter with rational superintelligence would resemble entering a high-cost, zero-sum, rigged casino.
  3. Therefore, to an extent, the CHAW can lead us to systematically avoid options leading towards adversarial encounters with rational superintelligence.

This argument leads us to adopt precaution according to CHAW when considering cases involving superintelligence.

Some Cosmic Acts CHAW May Prima Facie Precaution

So, the CHAW may prima facie bias our expected value assignments against certain cosmic actions like encounters with superintelligence:

However, precise conclusions about how to handle such encounters may require more analysis to clearly explore.

A CHAW Corollary regarding Superintelligent Alignment

As a corollary, another implication of CHAW can give us slight hope for solving the alignment problem:

The Argument for Clueless Rational Alignment:

  1. All clueless rational agents must respect CHAW.
  2. Therefore, clueless rational superintelligence must respect CHAW. (via Universal Instantiation)

Although we may be uncertain about this corollary, the upshot would be a roadmap towards easy alignment through “clueless rationality”, which may be consistent with certain alignment programs already being pursued (Russell).

Objections and Responses

Here we will address the most salient objections to the reasoning that brings us the CHAW, and we will make some responses.

Some Possible Objections to HAW

Some Possible Objections to CHAW

Some Possible Objections to Applying CHAW

Some Further Worries Regarding CHAW

A Personal Aside

Breaking the fourth wall, what is my actual personal credence that any of this is true? Not sure. But, upon self-reflection, something like the CHAW does seem to be how I behave: I do what seems like high near-term expected value, and I assume that the long-term will be refined by future, better people, those with the power to adjust things as necessary as they come. So being able to reverse-engineer my default behavior from expected value theory does boost my confidence. My primary source of doubt has been flagged above: sometimes I pessimistically wonder whether the control assumption is actually sufficient to accurately encompass the clueless remainder in the long-term arc of cosmic history; other times though, I think that proving the accuracy of the rule is unnecessary, and all we need is a rule consistent with some version of expected value theory, like the CHAW, to justify our actions rationally. I just hope the resulting strategy is marginally more tractable than cluelessly assigning EVs, which I think it may be, because it assigns modest ranges to rational behavior without expecting more.

Summary and Conclusion

We have argued that the problem of cluelessness for expected value theory should be approached by leaning away from win-lose engagements, a house-always-wins rule; and that, given some modest assumptions, this can be scaled up into a cosmic house-always-wins rule to help us make important global decisions; and that this cosmic rule-of-thumb gives answers that are consistent with many other intuitions, moral principles, and traditional cause areas. We suggest that this offers a modest workaround for the formal cluelessness problem so that the hard work of managing global priorities can proceed.

Acknowledgements

Victoria Tang and Brody McManus for beta-reading and discussing.

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