Intertemporal Choice

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Intertemporal Choice is the "Battle between your Present Self and your Future Self"—the study of how we make decisions when the "Costs" and "Benefits" happen at different times. While "Logic" says we should save for "Retirement" and "Eat healthy" for our long-term heart, "Behavioral Economics" proves that we suffer from "Present Bias": we "Hyper-discount" the future, choosing a "Donut today" over "Health in 20 years." From "Procrastination" and "Climate Change" to "Addiction" and "Debt," intertemporal choice is the science of "Delayed Gratification." It is the story of how our "Animal Brain" (the Present) and our "Human Brain" (the Future) fight for control of our lives.

Remembering

• Intertemporal Choice — The study of how people make choices about what and how much to do at various points in time.
• Present Bias (Hyperbolic Discounting) — The tendency to "Over-value" immediate rewards and "Under-value" future rewards (e.g., $100 today feels much better than $110 in a year).
• Exponential Discounting — The "Rational" way to value the future (e.g., valuing money less by a "Constant percentage" every year).
• Time Inconsistency — When you "Make a plan" for the future but "Change your mind" when the time arrives (e.g., "I'll start my diet tomorrow").
• Precommitment (Ulysses Contract) — A technique where you "Tie your hands" today to "Force" your Future Self to behave (e.g., "Deleting your social media" to focus on work).
• The Marshmallow Test — The famous experiment where children were offered "1 marshmallow now or 2 marshmallows later" to measure their "Delayed Gratification" ability.
• Self-Control — The "Mental Muscle" used to resist the Present Bias.
• Projection Bias — The tendency to think your "Future Self" will have the same "Desires" as your "Present Self" (e.g., "I'm not hungry now, so I won't buy food for dinner").
• Intertemporal Budget Constraint — The economic limit of what you can spend over your "Whole Life" (Current wealth + Future earnings).
• Sophisticated vs. Naive consumers:
  • Naive: Thinks they will "Have more self-control tomorrow."
  • Sophisticated: Knows they will "Be tempted tomorrow" and takes steps to "Prevent it" today.

Understanding

Intertemporal choice is understood through Discounting and Self-Conflict.

1. The "Hyperbolic" Curve (Discounting): We don't value time "Linearly."

• Between "100 days" and "101 days" from now, we are "Patient"—we will wait for a bigger reward.
• Between "Today" and "Tomorrow," we are "Impatient"—we want the reward **Now**.
• This "Hyperbolic" curve means we are "Rational" about the "Distant Future" but "Animalistic" about the "Immediate Present."

2. The Two Selves (The Planner and the Doer): Richard Thaler's model of the brain.

• The **Planner** (Prefrontal Cortex) is the "Adult" who thinks about "Health, Savings, and Careers."
• The **Doer** (Limbic System) is the "Child" who wants "Pizza, Sex, and Video Games" right now.
• Life is a "Negotiation" between these two people. If the "Doer" wins too often, you end up "Broke and Sick." If the "Planner" wins too often, you end up "Miserable."

3. The "Cost" of Procrastination: Procrastination is an "Intertemporal Choice."

• You "Choose" the "Benefit" of "Relaxing now" over the "Cost" of "Working hard later."
• But because of "Present Bias," the "Cost of working" feels 10x "Heavier" today than it will "Tomorrow."
• When "Tomorrow" arrives, it is now the "Present," and the cost is "Heavy" again. So you "Delay" again.

The 'Ulysses Contract: In the Odyssey, Ulysses wanted to hear the "Song of the Sirens" (which makes men jump into the sea). He "Pre-committed" by "Tying himself to the mast" and "Putting wax in his sailors' ears." He "Forced" his "Future Self" to stay on the ship. This is the ultimate "Behavioral Trick" for self-control.

Applying

Modeling 'The Discounting Gap' (Calculating the 'Perceived Value' of a future reward): <syntaxhighlight lang="python"> import math

def calculate_future_value(amount, days_wait, bias_factor=0.5):

   """
   Shows why 'Wait' kills the 'Value' of a reward.
   """
   # Hyperbolic Formula: Value = Amount / (1 + k*t)
   # Plus a 'Present Bias' multiplier if days_wait > 0
   k = 0.01 # Impatience constant
   
   if days_wait == 0:
       perceived_value = amount
   else:
       # Bias factor represents 'Hyper-discounting' for the future
       perceived_value = (amount / (1 + k * days_wait)) * bias_factor
       
   return round(perceived_value, 2)

1. Case: $100 today

print(f"Value Today: ${calculate_future_value(100, 0)}")

1. Case: $100 tomorrow (Value drops instantly due to bias)

print(f"Value Tomorrow: ${calculate_future_value(100, 1)}")

1. Case: $100 in 100 days

print(f"Value in 100 Days: ${calculate_future_value(100, 100)}") </syntaxhighlight>

Time Landmarks

The 'Save More Tomorrow' Plan → A retirement plan where employees commit to "Save their FUTURE raises." Because the "Cost" is in the "Future," the "Doer" doesn't mind, but the "Planner" secures the money.

Climate Change → The "Ultimate" intertemporal choice. The "Cost" is "Reducing our lifestyle today," and the "Benefit" is "A planet in 50 years." Humans are "Biologically bad" at this choice.

Addiction → The "Total Victory" of the "Present Self." The brain's "Discounting Curve" becomes so "Steep" that the next "Hit" is worth "Everything," including the future of your "Health and Family."

Deadlines → Why we "Crunch" at the end. As the "Deadline" gets closer, the "Future Cost" becomes a "Present Cost," and our "Bias" finally flips to "Action."

Analyzing

Planner vs. Doer

Feature	The Planner (Future Self)	The Doer (Present Self)
Goal	Optimization / Health / Wealth	Immediate Gratification / Fun
Horizon	Long-term (Years/Decades)	Instant (Seconds/Hours)
Brain Area	Prefrontal Cortex	Limbic System
Strengths	Strategy / Wisdom	Action / Emotion
Weaknesses	"Boring" / Over-thinking	"Impulsive" / Short-sighted

The Concept of "Temptation": Analyzing "Visceral States." When you are "Hungry," "Angry," "Lonely," or "Tired" (HALT), your "Discounting Rate" explodes. You become "Hyper-Impatient." This is why you should "Never shop for groceries when you are hungry"—your "Present Self" will buy 10 bags of chips and zero vegetables.

Evaluating

Evaluating intertemporal choice:

1. Meritocracy: Is "Self-Control" a "Genetic Gift," or can it be "Taught"? (The "Inequality" of the Marshmallow Test).
2. Ethics of Credit: Is "Credit Card debt" a way for "Banks" to "Exploit" our "Present Bias"?
3. Public Health: Should governments "Tax Sugar and Tobacco" to "Help our Future Selves" against our "Present Desires"? (The "Nudge" vs "Nanny State" debate).
4. Happiness: Is a "Life of perfect self-control" (the 'Planner') actually "Better" than a "Life of spontaneous joy" (the 'Doer')?

Creating

Future Frontiers:

1. The 'Future Self' Avatar: Using AI and VR to show you a "Realistic 3D Video" of "Yourself at 70" (looking sick or healthy) based on your choices today, to "Bridge the gap" of empathy.
2. Smart Contracts for Goals: A "Pre-commitment" app that "Locks your money" in a "Ulysses Contract"—if you don't "Go to the Gym," your money is "Donated to a charity you hate."
3. Neuro-Feedback for Patience: Using a "Headband" to "Train" your Prefrontal Cortex to "Calm down" the Doer, increasing your "Time Horizon."
4. Climate 'Pre-payment' : A tax system that "Rewards you today" for "Future carbon savings," using our "Present Bias" to "Save the Planet."