Sunk Costs are irrelevant from a decision-making standpoint.
I think you're oversimplifying. Mystical Tutor has given the opponent information. The information can impact the decision.
Taken from Investopedia.com (for convenience):
"What Does Sunk Cost Mean?
A cost that has been incurred and cannot be reversed. Also referred to as "stranded cost."
What Does Irrelevant Cost Mean?
A managerial accounting term that represents a cost, either positive or negative, that
does not relate to a situation requiring management's decision.
Investopedia explains Irrelevant Cost
As with relevant costs, irrelevant costs may be irrelevant for some situations but relevant for others.
Examples of irrelevant costs are fixed overheads, notional costs,
sunk costs and book values."
I understand that information is gained and that the situations may dictate different responses...that was the topic of my last post in addition to a statement saying that we cannot possibly quantify all of the situations involving Ancestral (making the discussion very subjective). However, I have a Master's degree in Accounting and a Sunk Cost is Irrelevant for decision-making purposes
by definition. Every aspect of the line of play may not be a Sunk Cost, but parts are Sunk Costs from the standpoint of the player casting the spell.
IE- You cannot decide to put Ancestral back into your hand after casting. The card is gone
The information you gave the opponent when you played Ancestral will not be forgotten if you change your mind
The mana you used to play Ancestral is non-refundable
The slot you dedicated to Ancestral in your deck is also non-refundable
The mana source you played from your hand solely for the purpose of playing Ancestral cannot be exchanged for another
The time during the match it took you to cast Ancestral is not refundable
Anything you cannot get back once you pay for the spell is a Sunk Cost. From the caster's standpoint, these costs are irrelevant for future decision making.
If we call it a Sunk Cost, it is irrelevant.
Situations:
I draw my 7.
Lay land.
Tap
Add U
Cast Ancestral
Opponent casts Spell Pierce
assuming I have the mana to pay for the Pierce's additional cost, I would have to weigh the relevant factors to make this decision. These factors do not include:
The slot Ancestral takes up in my deck.
Will I put my land back in my hand
Will I cast Ancestral
Will I use the U I had floating
What will I do with the 3 seconds of my life I just used.
Those are the Sunk Costs. All other factors that we have control over ARE VERY RELEVANT and should be considered. This is where we get to the subjective part-
Do I counter back or not? This is an impossible question to answer without more information. Here is why:
1) If my opponent has Decree of Silence in play with 3 counters on it and I have Force + Blue card in my hand....I should not counter, because it will not make a difference. (not that anyone would play Decree in Type 1) The benefits did not outweigh the costs
2) If my opponent has no cards in graveyard, hand, or library (he is having a bad game) and the Ancestral has him as the chosen target...I should counter if I have the ability because the benefit of winning the game outweighs the cost of countering the spell.
The only use for Sunk Costs in this discussion from the Opponent's standpoint is whether or not the costs of him countering outweigh benefit that Ancestral's caster will get. (whether the costs that he incurs, which will before irreversible will be worth the Ancestral not landing)(the only reason canceling the opponent's benefit is relevant is because his stopping a benefit for an opponent is of benefit to you) Even with a given situation, these discussions are not
always clear...look at the myriad of goldfishing opening-hand analysis throughout the forums. Gut impulse says: The average situation would warrant countering the Ancestral, but not ALWAYS. Do the Analysis based on the situation and make the best decision with the information you have.
Without a situation where Cost/Benefit analysis can be utilized, the idea of a Sunk Cost is not altogether helpful. Nor is subjective discussion. However, we can simply rattle back and forth about different situations that make the other person's assumptions incorrect 40 more times until everyone loses interest and finds another thread......
For those of you who think that this is purely word-play: Let's get away from hijacking terminology and using it for a meaning that is not its actual meaning. Even if we are playing cards the term "apple" still refers to the fruit that grows on a tree. We can't change definitions of loaded terms to suit our purposes. I can understand some discussion on proactive versus reactive because the discussion serves to create a Magic-specific generally-accepted term to suit a purpose unique to the game. This word's meaning is clear and has a definite intended use: a sunk cost in Magic is the same as a sunk cost in any other decision.