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Analyzing Game Theory Applications: Hawk-Dove Dynamics and Campaign Contributions Strategies

This piece delves into the applications of game theory, specifically the Hawk-Dove game and its implications for strategic decision-making. We explore how different strategies, such as Hawk and Dove, can influence competitive scenarios like selling hot dogs on a beach. We also analyze equilibrium conditions with varying seller numbers, alongside a discussion on campaign contributions in politics. The influence of citizen preferences on contributions to candidates is highlighted, reflecting on the divisive nature of contemporary political discourse. Liability models, negligence, and their equilibrium aspects are examined, shedding light on complex interactions in accident scenarios.

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Analyzing Game Theory Applications: Hawk-Dove Dynamics and Campaign Contributions Strategies

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Presentation Transcript

  1. Game theory applications

  2. The Hawk Dove Game Hawk Dove Hawk Dove

  3. My strategy will be • Hawk • Dove

  4. Hot Dogs on the beach • How do we minimize total travel cost of customers?

  5. Hot Dogs on the beach • Equilibrium with 2 sellers

  6. Hot Dogs on the beach Equilibrium With 4 sellers

  7. Hot Dogs on the beach Efficiency With 4 sellers

  8. Campaign contributions • Two candidates, both seek to maximize campaign contributions. • Citizens favorite points uniformly distributed from left to right. • People contribute to their favorite candidate an amount that is proportional to how much they prefer this favorite.

  9. Campaign contributions model

  10. Quote about a divisive American political in today’s news • "Every time she pops off, she excites her narrowing band of partisans and probably makes herself more money, but she further alienates everyone else," Jordan said to AP.

  11. Liability models • Expected cost of accident depends on actions of both parties. • Efficiency conditions

  12. Negligence with Contributory Negligence • Victim, perpetrator model. Find efficient actions. • What does contributory negligence rule impose? • Show that this is an equilibrium.

  13. Extension of contributory negligence model • Interpret for collision model

  14. Critique of contributory negligence model • What if court doesn’t know the loss function but participants do? • What about deaths and injury? You can’t pay undo them with payments. • What about auto collisions that simply depend on amount of driving?

  15. Bertrand equilibrium with constant marginal cost

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