How to do comparative dynamics on the back of an envelope for open‐loop Nash equilibria in differential game theory

Caputo, Michael R.; Ling, Chen

doi:10.1002/oca.2264

Cited by 6 publications

(6 citation statements)

References 20 publications

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“…Game theory focuses on mathematical equilibriums, utility maximizing and rational choice (Caputo & Ling, 2017). Rationality is a significant assumption of Game theory, however, there were no explanations for various forms of rational or irrational decision.…”

Section: Game Theorymentioning

confidence: 99%

Strategy to Build a Transshipment Port as a Catalyst to Achieving Critical Mass for Sabah’s Economic Growth

Tom¹

2019

IBR

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Digital transformation has led to a new era of port development at an unprecedented pace. China represents a large percentage of total global trades, navigating the maritime silk-road to various global and regional ports. In Malaysia, the lack of concrete justifications for the issue of transhipment port strategy leads to a debatable framework. Hence, the aim of the paper is to critically discuss the strategy to build a transhipment port as a catalyst to achieving critical mass for economic growth in Sabah. The study draws heavily on existing literature on the theoretical evidence and the possible factors that shape strategy to build transshipment port in Sabah. Based on reviewed literature, various resultant strategies adopted to stand for their interest are discussed. In this way, this paper provides not only theoretical insights, but also strategically guides managers of organisations in Sabah, government, and businesses values towards building a transshipment port in Sabah to effectively retire cabotage policy to reduce cost, enhance port throughput, develop hinterland for critical mass, enhance ports-economic clusters connectivity, eliminate capacity bottleneck, unlock natural resources export potential, align port service towards regional port users’ needs and to give regional port powers a run for their money.

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Section: Game Theorymentioning

confidence: 99%

Strategy to Build a Transshipment Port as a Catalyst to Achieving Critical Mass for Sabah’s Economic Growth

Tom¹

2019

IBR

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“…Hence, several “sharp” comparative statics may not hold if the capital accumulation game was generalized to a certain degree. Finally, , on the other hand, obtained intrinsic results for open‐loop Nash equilibria, as they employed only basic existence and smoothness assumptions in proving that in a general class of capital accumulation games “… the intrinsic comparative dynamics can be summarized in symmetric and negative semidefinite matrix that is subject to constraint.” The results to follow are equally as basic as those in , but rather than focusing on the intrinsic comparative dynamics, they give the steady state comparative statics and local comparative dynamics of open‐loop Nash equilibria of a capital accumulation game.…”

Section: Applicationsmentioning

confidence: 99%

“…References derived the intrinsic comparative dynamics for a general class of infinite horizon differential games with locally differentiable feedback Nash equilibria and feedback Stackelberg equilibria. In addition, the intrinsic comparative dynamics of open‐loop Nash equilibria for a generic class of finite horizon differential games was derived in .…”

Section: Introductionmentioning

confidence: 99%

“…not hold if the capital accumulation game was generalized to a certain degree. Finally,[8], on the other hand, obtained intrinsic results for open-loop Nash equilibria, as they employed only basic existence and smoothness assumptions in proving that in a general class of capital accumulation games "… the intrinsic comparative dynamics can be summarized in symmetric and negative semidefinite matrix that is subject to constraint.…”

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confidence: 99%

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The Qualitative Properties of Symmetric Open‐Loop Nash Equilibria in the State‐Control Dynamic System in Differential Games

Hsueh

Ling

2017

Asian Journal of Control

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The local stability, steady state comparative statics, and local comparative dynamics of symmetric open‐loop Nash equilibria in the state‐control dynamic system for a seemingly ubiquitous class of discounted infinite horizon differential games are investigated. It is shown that most of the useful qualitative results occur because the same small number of assumptions is being made about the mathematical structure of the integrand and/or state equations. Applications of the results to exhaustible resource extraction and capital accumulation differential games are provided.

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“…However, the advantages of blockchain technology in sharing financial information in the supply chain and the mechanism of blockchain technology are not analyzed with intuitive data. Differential game theory is usually applied to fields such as dynamics and environmental problems [39][40][41][42].…”

Section: Introductionmentioning

confidence: 99%

Differential Game Model of Information Sharing among Supply Chain Finance Based on Blockchain Technology

Wang

2022

Sustainability

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In the development of traditional supply-chain finance, the information asymmetry of all parties in the supply chain has become the primary problem hindering its development. Blockchain technology is an effective method to solve the problem of information silos. Based on differential game theory, this paper constructs a game model of supply-chain financial information-sharing behavior based on blockchain technology. Three scenarios of independent decision, the cost-subsidy mechanism of financial institutions, and dealers and collaborative decisions are studied, and the theoretical model is verified through a simulation algorithm. The results show that information sharing in supply-chain finance based on blockchain technology is much higher than that of traditional supply-chain finance, and the use of blockchain technology can promote more sustainable development of supply chains. Blockchain technology can effectively solve the information-silo effect, and the information sharing cost-subsidy mechanism can effectively relieve the cost pressure of information sharing and optimize the supply-chain structure. In addition, the amount of information and benefits shared among the three parties of supply-chain finance based on blockchain technology and the overall benefits show an increasing and stabilized trend over time. This study provides a reference for supply-chain finance members to reasonably choose the optimal strategic behavior.

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How to do comparative dynamics on the back of an envelope for open‐loop Nash equilibria in differential game theory

Cited by 6 publications

References 20 publications

Strategy to Build a Transshipment Port as a Catalyst to Achieving Critical Mass for Sabah’s Economic Growth

Strategy to Build a Transshipment Port as a Catalyst to Achieving Critical Mass for Sabah’s Economic Growth

The Qualitative Properties of Symmetric Open‐Loop Nash Equilibria in the State‐Control Dynamic System in Differential Games

Differential Game Model of Information Sharing among Supply Chain Finance Based on Blockchain Technology

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