Game Theory

 

The order of play tends to matter in sequential games where rivals must predict best reply-responses and counter-responses in order to achieve a desired payoff. Discuss an instance in which you or your firm used game theory and explain why the relationship between the players was a strategic one. Did the use of a credible threat or commitment affect the outcome? Was there any first mover of fast-second strategies used?

Sample Solution

Scenario: Negotiating a Contract Renewal with a Freelancer

Imagine you’re a marketing manager for a company and need to renew the contract of a talented freelance writer. You value their work and want to keep them on board, but you also want to maintain your budget. This creates a strategic situation between you and the freelancer.

Game Theory Analysis:

  • Players: You (the marketing manager) and the freelancer writer.
  • Payoffs:
    • You: Retain a talented writer at a reasonable cost.
    • Freelancer: Secure continued work and income.
  • Sequential Play:
    1. You make an initial offer for the renewal contract.
    2. The freelancer decides to accept, negotiate, or reject the offer.
    3. You can then counter-offer or accept the freelancer’s counter-proposal.

Credible Commitment and First-Mover Advantage:

You, as the first mover, hold some initial advantage. Here’s how game theory concepts play a role:

  • Credible Commitment: You can offer a fair initial rate based on market research and the freelancer’s past performance. This demonstrates your commitment to a win-win outcome and encourages the freelancer to negotiate in good faith.
  • First-Mover Advantage: By setting the initial terms, you establish a baseline for negotiation. However, you don’t want the offer to be so low it gets rejected.

Fast-Second Strategy:

The freelancer can employ a “fast-second” strategy by:

  • Researching Market Rates: Knowing their market value allows them to counter with a well-justified proposal if your initial offer is below par.
  • Highlighting Value: Emphasizing their past contributions and the value they bring to your company strengthens their negotiation position.

The Outcome:

Through open communication, a balance can be reached. Your credible commitment to a fair contract and the freelancer’s well-researched counter-offer can lead to a mutually beneficial outcome – both parties achieve their desired payoff.

Conclusion:

This scenario highlights the importance of game theory in understanding strategic interactions. By anticipating your opponent’s potential responses and using credible commitments, first-mover advantage, and well-informed counter-offers, both parties can achieve a win-win situation in a sequential game.

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