Animal Contests and Game Theory

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App

Questions and Answers

In animal competition, what distinguishes 'scramble competition' from 'contests'?

  • Scramble competition is about acquiring resources quickly, while contests involve agonistic encounters. (correct)
  • Scramble competition involves direct physical fights, while contests are based on displays.
  • Scramble competition is for mates, while contests are for territories and food.
  • Scramble competition is cooperative, whereas contests are always aggressive.

In escalated animal contests, the costs for participants are typically lower compared to contests involving only displays.

False (B)

Explain how an animal's tactic in a contest can influence the outcome and its fitness.

The tactic an animal employs in a contest, such as aggression or display, can determine whether it wins the resource. Winning increases access to resources, thereby enhancing fitness and reproductive success.

The study of strategies in competitive situations, initially developed to understand human decision-making, is known as __________.

<p>game theory</p> Signup and view all the answers

Match the game theory concepts with their descriptions:

<p>Nash Equilibrium = A stable state in game theory where no player can unilaterally improve their outcome by changing strategies. Frequency Dependent Selection = The fitness of a strategy depends on its frequency relative to other strategies in a population. Evolutionarily Stable Strategy (ESS) = A strategy that, if adopted by a population, cannot be invaded by any alternative strategy. Prisoner's Dilemma = A classic game theory example showing why two purely 'rational' individuals might not cooperate, even if it appears that it is in their best interests to do so.</p> Signup and view all the answers

What is 'frequency dependent selection' in the context of evolutionary strategies?

<p>Selection where the best strategy is determined by the choices of the majority of the population. (D)</p> Signup and view all the answers

John Maynard Smith applied game theory to animal contests, suggesting that it's always beneficial for animals to use lethal weapons in fights to ensure victory.

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

Define 'Evolutionarily Stable Strategy' (ESS) and explain its significance in animal behavior.

<p>An ESS is a strategy which, if adopted by all members of a population, cannot be bettered by a mutant strategy. It's significant because it predicts stable behavioral outcomes in competitive situations, shaping the evolution of animal behaviors.</p> Signup and view all the answers

In the Hawk-Dove game, a 'Hawk' strategy is characterized by always __________ and potentially injuring opponents.

<p>fighting</p> Signup and view all the answers

According to the Hawk-Dove game, what is the primary behavior of a 'Dove' strategy?

<p>Displaying but never engaging in physical combat. (B)</p> Signup and view all the answers

In a population consisting only of 'Dove' strategists, the introduction of a 'Hawk' strategist will always be detrimental to the Hawk's fitness.

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

Explain the significance of 'V' and 'C' in the context of the Hawk-Dove game.

<p>'V' represents the value of the resource being contested, while 'C' represents the cost of a wound from fighting. These values are crucial for determining the expected payoffs and the ESS in the Hawk-Dove model.</p> Signup and view all the answers

If the value of a resource (V) is 10 and the cost of a wound (C) is 20, the fitness gain for a Hawk meeting another Hawk is calculated as $1/2V - 1/2C = $__________.

<p>-5</p> Signup and view all the answers

According to the Hawk-Dove game with V=10 and C=20, what is the fitness gain for a Dove when it encounters a Hawk?

<p>0 (C)</p> Signup and view all the answers

In the Hawk-Dove game scenario where V=10 and C=20, Hawks always achieve a higher fitness gain than Doves.

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

Explain why a mixed population of Hawks and Doves can be an Evolutionarily Stable Strategy.

<p>In a mixed population, the fitness payoffs for both Hawk and Dove strategies can equalize, preventing either strategy from being unilaterally better. This balance leads to a stable proportion of Hawks and Doves over time, representing an ESS.</p> Signup and view all the answers

For the Hawk-Dove game, the probability of playing Hawk at ESS is given by the formula $h = $__________, where V is the value of the resource and C is the cost of a wound.

<p>v/c</p> Signup and view all the answers

If the value of the resource (V) increases while the cost of a wound (C) remains constant, what is the predicted effect on the ESS in the Hawk-Dove game?

<p>The proportion of Hawks in the population will increase. (A)</p> Signup and view all the answers

If all individuals in a population adopted a 'Dove' strategy, the average payoff per contest would be lower than in a mixed Hawk-Dove ESS population.

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

Explain how the concept of ESS in the Hawk-Dove game provides evidence against 'group selection'.

<p>ESS highlights individual-level selection. Even if a population of Doves is better 'for the group', individual Hawks can invade and gain higher fitness, showing that selection operates at the individual, not group, level to determine strategy prevalence.</p> Signup and view all the answers

Strategies where individuals are consistently either Hawks or Doves are known as __________ strategies.

<p>pure</p> Signup and view all the answers

What is a 'mixed strategy' in the context of the Hawk-Dove game?

<p>A strategy where individuals randomly choose between Hawk and Dove strategies with certain probabilities. (D)</p> Signup and view all the answers

In a 'pure self-assessment' model of animal contests, contestants assess both their own and their opponent's Resource Holding Potential (RHP).

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

Describe the 'pure self-assessment' model in animal contests and explain how it differs from the Hawk-Dove model.

<p>Pure self-assessment involves contestants deciding to give up based on their own RHP and a threshold related to resource value, without assessing the opponent. Unlike Hawk-Dove, it incorporates assessment (self) and fight duration, not just fixed strategies.</p> Signup and view all the answers

In the pure self-assessment model, the 'giving up threshold' is primarily determined by the __________ of the resource.

<p>value</p> Signup and view all the answers

Which of the following is a key characteristic of the 'mutual assessment' model in animal contests?

<p>Contestants assess both their own and their opponent's fighting ability. (A)</p> Signup and view all the answers

The 'mutual assessment' model assumes a lower cognitive ability in animals compared to the 'pure self-assessment' model.

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

Explain why 'mutual assessment' is considered a 'superior strategy' in animal contests.

<p>Mutual assessment is superior because it allows potential losers to recognize their disadvantage early, avoiding costly escalated fights they are likely to lose. This conservation of energy and reduction of injury risk enhances overall fitness.</p> Signup and view all the answers

Resource Holding Potential (RHP) refers to an animal's __________ ability in a contest.

<p>fighting</p> Signup and view all the answers

According to research, what is typically a key factor determining Resource Holding Potential (RHP) in animal contests?

<p>Size of the animal (B)</p> Signup and view all the answers

Prior ownership of a resource is never a factor in determining the winner of an animal contest.

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

Besides fighting ability, what are two other factors that can determine the winner of an animal contest?

<p>Prior ownership of the resource and the value that each contestant places on the resource are two other critical factors that can influence the outcome of animal contests.</p> Signup and view all the answers

The value that a contestant places on a resource is referred to as __________ Value.

<p>Resource</p> Signup and view all the answers

Which of the following is NOT considered one of the main models of animal contests discussed?

<p>Cooperative Assessment Model (D)</p> Signup and view all the answers

In the Hawk/Dove model, assessment of the opponent's strength is a crucial component of the strategy.

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

Contrast the role of 'assessment' in the Hawk/Dove model versus the Mutual Assessment model.

<p>The Hawk/Dove model involves no assessment; strategies are predetermined. Mutual Assessment, conversely, is centered on contestants gathering and comparing information about their own and their opponent's abilities to decide on contest escalation.</p> Signup and view all the answers

Fights between two 'Hawk' strategists in the Hawk-Dove model are likely to end due to __________ or death rather than a decision to withdraw.

<p>injury</p> Signup and view all the answers

In which model of animal contests do rivals persist in accordance with their own RHP, leading weaker rivals to give up first?

<p>Pure Self Assessment Model (B)</p> Signup and view all the answers

The Mutual Assessment model implies a threshold for giving up that is primarily determined by the value of the resource.

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

Briefly explain why mutual assessment is thought to be the 'most common strategy' in animal contests by many researchers.

<p>Mutual assessment is considered common as it allows animals to avoid costly fights they're likely to lose, conserving energy and reducing injury risk. This efficiency makes it an evolutionarily advantageous and hence prevalent strategy.</p> Signup and view all the answers

Game theory is useful in analyzing animal contests because it helps understand how strategies are shaped by __________ selection.

<p>natural</p> Signup and view all the answers

Which of the following scenarios best illustrates scramble competition among animals?

<p>Vultures rapidly descending upon a carcass, with the first ones to arrive consuming the majority. (A)</p> Signup and view all the answers

In contests involving escalated fights compared to displays without contact, the potential costs for the participants are generally lower.

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

Explain how the understanding of animal contests contributes to the broader comprehension of natural selection.

<p>Animal contests determine fitness, as winners gain access to resources which enhance their reproductive success, driving natural selection by favoring advantageous traits and strategies for competition.</p> Signup and view all the answers

The Prisoner's Dilemma in game theory demonstrates that under specific payoff conditions, the most rational choice for an individual, known as the ______, is to confess, even if mutual cooperation would yield a better outcome for both parties.

<p>Nash Equilibrium</p> Signup and view all the answers

Match the following terms related to animal contests and game theory with their descriptions:

<p>Frequency Dependent Selection = The fitness of a strategy depends on its frequency relative to other strategies in the population. Evolutionarily Stable Strategy (ESS) = A strategy that, if adopted by a population, cannot be invaded by any alternative strategy. Hawk Strategy = A contest strategy characterized by always escalating to fighting and risking injury. Dove Strategy = A contest strategy characterized by display and withdrawal without engaging in escalated fights.</p> Signup and view all the answers

In the Hawk-Dove game, if the cost of a wound (C) increases significantly while the value of the resource (V) remains constant, what is the most likely effect on the Evolutionarily Stable Strategy (ESS)?

<p>The ESS will shift towards a higher proportion of doves. (C)</p> Signup and view all the answers

According to the Hawk-Dove model, fights between two 'hawk' strategists typically conclude with a decision based on mutual assessment rather than potential injury.

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

Distinguish between a 'pure strategy' and a 'mixed strategy' in the context of game theory as applied to animal contests.

<p>A 'pure strategy' involves consistently adopting one behavior, such as always being a 'hawk' or always being a 'dove'. A 'mixed strategy' involves probabilistically choosing between different behaviors, like playing 'hawk' with a certain probability and 'dove' with the remaining probability, depending on conditions.</p> Signup and view all the answers

In the context of animal contests, Resource Holding Potential (RHP) is best defined as an animal's inherent ______ ability, which often determines its likelihood of winning a physical confrontation.

<p>fighting</p> Signup and view all the answers

Which of the following factors is NOT typically considered a primary determinant of the winner in animal contests, as highlighted in the context of game theory and contest models?

<p>The size of the social group supporting each contestant (B)</p> Signup and view all the answers

Flashcards

Animal competition resources

Limited resources animals compete for include food, territories, nest sites and mates.

Scramble competition

Competition where the first to get the resource takes it.

Contests

A form of competition that takes the form of agonistic encounters.

Tactics in contests

Animals use these in contests; can influence the outcome.

Signup and view all the flashcards

Importance of contests in natural selection

Understanding contests is important because they determine fitness and hence drive natural selection.

Signup and view all the flashcards

Game theory

The study of strategies, initially developed by economists to study rationale human decision-making

Signup and view all the flashcards

Prisoner's dilemma

A game where the best choice, known as the Nash Equilibrium, is to confess.

Signup and view all the flashcards

Frequency dependent selection

The best strategy depends on what others in the population are doing.

Signup and view all the flashcards

Evolutionarily stable strategy (ESS)

A strategy that, if all members of a population adopt, cannot be bettered by an alternative strategy.

Signup and view all the flashcards

Hawk strategy

Always fight and may injure their opponents.

Signup and view all the flashcards

Dove strategy

Simply display and never engage in fights; will run away if attacked to avoid injury.

Signup and view all the flashcards

Hawk and Dove: Encounters

The hawk will win all its encounters because its attacks cause the dove to run away.

Signup and view all the flashcards

V

Value of the resource.

Signup and view all the flashcards

C

Cost of a wound.

Signup and view all the flashcards

Mutual assessment

Animals know their own abilities, gather information about the opponent. Each contestant compares its perception of its own ability with that gathered about the opponent.

Signup and view all the flashcards

Outcome of mutual assessment

The weaker animal gives up when it has sufficient information to make this decision.

Signup and view all the flashcards

Game theory

Gathering information whenever it is likely to influence the pay-off from the fight.

Signup and view all the flashcards

Costs of the fight

Potential or actual costs of the fight is important.

Signup and view all the flashcards

Another factor in winning a contest

Prior ownership of the resource and the value that each contestant places on the resource.

Signup and view all the flashcards

Pure self assessment

No assessment of the opponent and costs are not influenced by the opponent.

Signup and view all the flashcards

Hawk Dove Model: assessment?

There is no assessment.

Signup and view all the flashcards

Study Notes

  • Animal contests relate to the key concept of evolutionarily stable strategies

Competition

  • Animals compete for limited resources like food, territories, nest sites, and mates
  • Scramble competition is when the first to get the resource takes it
  • Contests take the form of agonistic encounters

Contests

  • Displays may occur without contact, but can also involve escalated fights, or both
  • Both displays and escalated fights have costs
  • Escalated fights are likely to be more costly
  • Animals use different tactics in contests which can influence the outcome of which contestant wins
  • Understanding contests is important because they determine fitness and drive natural selection

Game Theory

  • Game theory studies strategies
  • Economists initially developed game theory
  • Game theory was to study rational human decision-making
  • The prisoner's dilemma is the most studied game in game theory
  • The best choice in payoff conditions is to confess, also known as the Nash Equilibrium
  • In frequency dependent selection, the best strategy depends on what others in the population are doing

Applying Game Theory

  • John Maynard Smith applied game theory to animal contests
  • Contests often occur in a restrained fashion, where lethal weapons are not always used such as poisonous snakes
  • Fitness gain from different strategies for individuals can be analyzed by applying frequency dependent selection and game theory

Definitions

  • Frequency dependent selection is where the direction of selection depends on which options are used in the rest of the population
  • Evolutionarily Stable Strategy (ESS) is a strategy that, if all members of a population adopt it, cannot be bettered by an alternative strategy
  • A strategy is a mode or option that is genetically determined

The Hawk-Dove Game

  • It explains two strategies used in animal contests
  • Hawk: Always fights and may injure opponents
  • Dove: Only displays and never engages in fights; will run away immediately if attacked to avoid injury
  • The better option depends on the context of the contest

Hawks and Doves

  • Imagine a population of doves in which a mutant hawk is produced
  • Hawks will win all encounters because their attacks cause the dove to run away
  • If the mutant allele spreads (hawks get the resources), hawks will start to encounter other hawks
  • The encounters between hawks can lead to injuries

Considering Value and Cost

  • Value of the resource is V
  • Cost of a wound is C

Fitness Gain

  • Fitness gain depends on the opponent type
  • Hawk vs Hawk: 1/2v-1/2c
  • Hawk vs Dove: V
  • Dove vs Hawk =0
  • Dove vs Dove = 1/2v

Arbitrary Values

  • An example uses arbitrary values for fitness units
  • V = 10
  • C = 20
  • Hawks do well when they meet doves (+10) but fare poorly when they meet other hawks (-5)
  • Doves achieve a higher fitness gain when they meet a hawk (0) compared to a hawk meeting another hawk (-5)
  • Doves meeting other doves perform better (+5) than when they encounter hawks (0)
  • A population mix should occur when the two strategies perform equally well

Calculating the ESS in the Hawk-Dove Game

  • At ESS fitness payoff of playing Hawk = fitness payoff of playing dove
  • Play hawk with probability h, therefore play dove with probability 1-h
  • (1/2v – 1/2c)h + v(1-h) = 0h + (1/2v)(1-h)
  • 1/2vh – 1/2ch +v – vh = 1/2v – 1/2vh
  • vh – ch + 2v – 2vh = v – vh
  • v = ch
  • v/c=h
  • h=v/c
  • 1-h = 1 – (v / c)
  • Play Hawk with probability V / C = 10 / 20 = 1 / 2 = 50%
  • Play Dove with probability 1-(V / C) = 1 / 2 = 50%
  • Average payoff per contest at ESS is 2.5
  • If all had been Doves, payoff would have been 5
  • This is evidence against group selection

Variation in Costs and Benefits

  • The ESS is for an arbitrary set of values
  • This allows to see the changes when the values are altered
  • If V is increased from 10 to 15, keeping other values the same, ESS is now for 75% hawks
  • If V is increased further to 20, ESS is for the whole population to comprise hawks
  • With high value resources, doves may be eliminated from the population
  • If C is increased from 20 to 30, keeping other original values the same, ESS shifts to 33% hawks
  • As C increases, the utility of fighting decreases

Mixed Strategies

  • Pure strategies include individuals being either hawks or doves
  • Mixed strategy: Play Hawk with probability x and Dove with probability 1-x
  • These probabilities will have the same frequencies as set by the ESS calculation for particular costs and benefits

Information Gathering

  • If the values change, they act upon the ESS in the Hawk-Dove game by natural selection
  • There is no information gathering prior to a contest in this game
  • Contestants should gather information whenever it is likely to favorably influence the pay-off from the fight
  • Important information includes potential or actual costs of the fight (opponent) and potential gain (resource value)

Winner Determination

  • Differences in fighting ability, termed Resource Holding Potential (RHP), typically favor the larger animal
  • Prior ownership of the resource sways the outcome
  • Resource value influences the determination

Main Models

  • Hawk/Dove Model
  • Pure Self Assessment Model
  • Mutual Assessment Model

Hawk / Dove Model Explained

  • There is no assessment in the Hawk / Dove Model
  • The ESS of hawks / doves in the population is determined by natural selection
  • Fights between two hawks end as a result of injury or death rather than a decision

Pure Self Assessment Model Explained

  • Each contestant has information about its own abilities or state
  • No assessment of the opponent occurs, and costs are not influenced by the opponent
  • Costs increase as the fight progresses, and when a threshold is reached, the animal gives up
  • Rivals persist in accord with their own RHP such that the weaker rival will reach their limit and give up first
  • The giving up threshold is determined by the value of the resource

Mutual Assesment Model Explained

  • This assumes that animals know their own condition / abilities and animals gather information about the opponent
  • Each contestant compares its perception of its own ability with that gathered about the opponent
  • The weaker animal gives up when it has sufficient information to make this decision
  • No threshold is implied in this model
  • A much higher cognitive ability is assumed
  • Mutual assessment may occur prior to escalation and may be a superior strategy because potential losers can avoid the cost of fighting in contests they would eventually lose
  • This is assumed by many authors to be the most common strategy

Learning Objectives

  • Understand the role of game theory in furthering our understanding of animal contests
  • Understand the concept of an Evolutionarily Stable Strategy (ESS)
  • Understand the Hawk-Dove model
  • Know about contest asymmetries and assessment strategies

Studying That Suits You

Use AI to generate personalized quizzes and flashcards to suit your learning preferences.

Quiz Team

Related Documents

More Like This

Fish and Animal Anatomy Flashcards
20 questions
Animal Cell Facts Quiz
40 questions

Animal Cell Facts Quiz

ProfoundPearTree avatar
ProfoundPearTree
Use Quizgecko on...
Browser
Browser