Game Theory: Prisoner's Dilemma

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Questions and Answers

What type of imaging modality is most likely represented in the image, given the anatomical structures visualized and contrast?

  • Magnetic Resonance Imaging (MRI) (correct)
  • Computed Tomography (CT)
  • Ultrasound
  • X-ray

Based on the image, which anatomical plane is being displayed?

  • Coronal
  • Oblique
  • Axial
  • Sagittal (correct)

Which of the following structures is best visualized in this image?

  • Cerebellum (correct)
  • Occipital Lobe
  • Temporal Lobe
  • Parietal Lobe

The sella turcica, which houses the pituitary gland, is located near which anatomical landmark?

<p>Sphenoid sinus (D)</p> Signup and view all the answers

If a lesion were identified near the pituitary gland, which of the following hormonal imbalances might be suspected?

<p>Diabetes insipidus (B)</p> Signup and view all the answers

What is the significance of the date '21-Feb-2025' displayed on the image?

<p>Date the image was acquired. (D)</p> Signup and view all the answers

What is a likely purpose of the contrast enhancement used in this scan?

<p>To improve visualization of soft tissues and blood vessels. (A)</p> Signup and view all the answers

Considering the overall image quality, what is the most likely explanation if a similar scan were performed and appeared blurry?

<p>The patient moved during the scan. (B)</p> Signup and view all the answers

Which of the following parameters would have the greatest influence on the spatial resolution of this MRI scan?

<p>Field of view (FOV) and matrix size (C)</p> Signup and view all the answers

What does the label 'AL' most likely indicate on the image?

<p>Anterior Left (B)</p> Signup and view all the answers

Which of the following pulse sequences is most likely used to acquire this image?

<p>T1-weighted sequence (C)</p> Signup and view all the answers

Identify a structure that cannot be well-evaluated using a sagittal MRI of the brain.

<p>Lateral structures, particularly those far from the midline. (D)</p> Signup and view all the answers

Considering the image quality, what adjustment could be made to improve the signal-to-noise ratio (SNR)?

<p>Increase the voxel size. (D)</p> Signup and view all the answers

If the patient were experiencing symptoms of trigeminal neuralgia, which area would be of particular interest to examine?

<p>Cerebellum and brainstem (C)</p> Signup and view all the answers

Which of the following could be a safety concern in the MRI environment?

<p>Bringing a smartphone into the MRI scanner room. (D)</p> Signup and view all the answers

Based on the image voxel size which is nearest 3mm x 3mm x 3mm, what can be stated about the spatial resolution.

<p>The spatial resolution is low, blurring small structures for a clearer image (D)</p> Signup and view all the answers

What key identifier is available in the image, ensuring patient privacy?

<p>029Y, F (A)</p> Signup and view all the answers

What can be said about the parameter, 'Se 901/24, Im 6/12'?

<p>The image location (A)</p> Signup and view all the answers

Which cranial fossa most likely encapsulates the pituitary gland within the Sella Turcica?

<p>Middle cranial fossa (B)</p> Signup and view all the answers

Flashcards

Cerebral Angiography

A radiographic technique used to visualize the cerebral vasculature after injection of contrast material.

MRI

A brain imaging technique using strong magnetic fields and radio waves to create detailed images of the brain's structures.

Study Notes

  • Game theory studies mathematical models of strategic interactions among rational agents.
  • Game theory has applications in economics, political science, biology, and computer science.
  • Game theory studies the behavior of agents in strategic settings.
  • In a strategic setting, an agent's actions affect others' outcomes.

Prisoner's Dilemma

  • Two suspects are arrested, and the police offer them a deal due to lack of evidence.
  • If one confesses and the other doesn't, the confessor is freed, and the other gets 10 years.
  • If both confess, they each get 5 years.
  • If neither confesses, they each get 1 year.

Payoff Matrix for Prisoner's Dilemma

Suspect B Confesses Suspect B Stays Silent
Suspect A Confesses -5, -5 0, -10
Suspect A Stays Silent -10, 0 -1, -1

Algorithmic Game Theory

  • Algorithmic game theory combines game theory and algorithm design.

Motivation for Algorithmic Game Theory

  • Classical game theory often ignores computational aspects.
  • Real-world games are often too complex to solve manually.
  • Algorithms can find or approximate game-theoretic solutions.

Topics in Algorithmic Game Theory

  • Mechanism Design: Designing games with desirable properties.
  • Price of Anarchy: Measuring efficiency loss due to selfish behavior.
  • Computation of Equilibria: Finding Nash equilibria and other solution concepts.

Network Routing Example

  • A network has $n$ users routing traffic from source $s$ to destination $t$.
  • Each user chooses a path, and the cost depends on the traffic on that path.
  • Users aim to minimize their own cost, affecting others' costs.
  • Question: How much does selfish behavior degrade the network's overall efficiency? This is a "price of anarchy" question.

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