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On durable-strategies dynamic game theory
David W. K. Yeungab, Yingxuan Zhanga a SRS Consortium for Advanced Studies, Hong Kong Shue Yan University, 10 Wai Tsui Crescent, Braemar Hill, North Point, Hong Kong
b Center of Game Theory, St. Petersburg State University, 7/9, Universitetskaya nab., St. Petersburg, 199034, Russia
Abstract:
An empirically meaningful theory of dynamic games has to incorporate real-life phenomena. Durable strategies, which effects last for a period of time, are prevalent in real-life situations. Revenue generating investments, toxic waste disposal and purchase of durable goods are common examples of durable strategies. This paper first provides a review on durable-strategies dynamic game theory. A practically relevant advancement – random horizon durable-strategies dynamic games - yielding novel results in durable-strategies dynamic games theory is then presented. Dynamic optimization theorem, game formulations and HJB equations are derived. An illustrative example is provided. The theory and solution mechanism of durable-strategies cooperative dynamic games are also discussed.
Keywords:
dynamic Game, durable-strategies, random horizon.
Citation:
David W. K. Yeung, Yingxuan Zhang, “On durable-strategies dynamic game theory”, Contributions to Game Theory and Management, 15 (2022), 311–324
Linking options:
https://www.mathnet.ru/eng/cgtm432 https://www.mathnet.ru/eng/cgtm/v15/p311
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