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Evolutionary Stable Strategies & Game Theory

Evolutionary Stable Strategies are behavioural strategies that if adopted by all individuals in a population then it cannot be replaced by a different strategy through natural selection. I was very fascinated by an article that explores how evolutionary stable strategies develop within a population over the span of generations using Game Theory and can help understand why it is important to help others for our own long-term survival. Moreover, the article also touches on concepts of Game Theory discussed in class such as payoff matrix and shows the implications of cooperation.

The articles observes two organisms that have a mutually beneficial relationship and develops a payoff matrix . Legume (bean plant) depends on bacteria that lives within the plant for nitrogen that the plant can use for photosynthesis to produce more sugars and the bacteria relies on the plant for energy in the form of sugar. If both organisms cooperate, they both can benefit creating a positive feedback for cooperation. The payoff matrix defined for the interaction is defined below:

Reward and Punishment.

If an organism cheats, the benefit in the next interaction is reduced by modifier value (m) – result for cheating. Whereas, if both organisms cooperate, their benefit is increased by (m) in the next interaction. Modifier values in payoffs can greatly impact behaviour allowing organisms to cooperate for better results.

The image on the right shows that even though only ~25% of the population of organisms were cooperating at the beginning, that quickly jumped to almost the entire population over the span of 1000 generations of both organisms showing the power of payoff modification in developing Evolutionary Stable Strategies if the partners honestly reciprocate cooperation from the other organism.

Game Theory provides us a framework to understand evolution of complex biological interactions across multiple generations and explains tendency for altruistic behavioural strategies like a bird providing warning call to other birds temporarily putting itself in danger and hoping that other birds will give it a warning call in future of an immediate threat – therefore it prepares to be at a disadvantage for a short amount of time hoping it will improve the bird’s chances of survival over its life span. Therefore, Game Theory helps to demonstrate that evolution of cooperation is necessary for long-term survival.

References

https://www.nature.com/scitable/knowledge/library/game-theory-evolutionary-stable-strategies-and-the-25953132/

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Small world of phonological words

It has been very fascinating to me how quickly infants learn a language and the importance of the processing of sounds in the adoption of a language. For that very reason, I am talking about a research study that examines the organization of words in the lexicon and how that may influence the acquisition and retrieval of phonologically similar words. Two words are phonologically similar if we can get one word by replacing, deleting, or inserting a phoneme into another word. For example, “hat” is a phonological neighbour of “cat”. In this study, phonological transcriptions of approximately 20 thousand words were added from the 1964 Merriam-Webster Pocket Dictionary. A node in the network corresponded to a phonological word from the dictionary and a link was present between two words if they are phonologically similar.

There were ten thousand “lexical hermits” in the network – basically nodes that do not have any neighbours; two thousand nodes with a few neighbours but isolated from the largest connected component in the phonological network. The largest connected component contained six thousand nodes. The average path length between any two nodes in the network was 6.05 comparable to a similarly sized random network – it was higher for the largest connected component at 9.105. The clustering coefficient for the nodes in the phonological network was 0.126 which shows neighbours of a word have a higher tendency to be connected with each other and it influences the spoken word recognition.

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Degree distribution for the largest connected component of the phonological network

The average path length between phonological words and high clustering shows the small-world characteristics proposed by Watts & Strogatz in this phonological network. The small world characteristics of the phonological network mean less processing required to traverse through the words in the network and could potentially answer why lexical processing is so fast and accurate. This study attempts to explore the structure of the phonological network and provide insights about mental lexicon and lead to future studies that further dive into language understanding and processing.

Sources:

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2535910/

https://www.verywellfamily.com/how-do-children-learn-language-1449116