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Quantum Advanced Microeconomics
Paperback
Series: Quantum Economics, Book 25
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ISBN13: 9798905892349
Publisher: Primal Economics Press
Pages: 426
Weight: 2.16
Height: 0.87 Width: 8.50 Depth: 11.00
Language: English
Publisher: Primal Economics Press
Pages: 426
Weight: 2.16
Height: 0.87 Width: 8.50 Depth: 11.00
Language: English
Microeconomics studies how individuals choose, how they interact, and how markets coordinate. Yet for more than a century and a half, mainstream microeconomics has imagined choice as a faithful reading of given preferences, interaction as the mechanical combination of independent strategies, and the market as an assembly of atomistic buyers and sellers. A host of experimental anomalies-the Allais paradox, the Ellsberg paradox, preference reversal, the conjunction fallacy, and order effects-repeatedly batter this picture. Behavioral economics has patched the cracks with a list of biases, but it has not supplied a unified, formalizable alternative logic.
This book-Quantum Advanced Microeconomics-argues that microeconomics must be rebuilt from the axiomatic foundation of rationality. Choice is not a reading of given preferences but a measurement of a superposed state; interaction is not a combination of independent strategies but an entanglement of strategies; the market is not an assembly of independent individuals but the self-organization of coherent states. From these three transformations, the book uses the von Neumann axioms of quantum probability, density-matrix representation theorems, tensor-product game spaces, and operator fixed-point theory to rebuild the entire foundations of demand, production, games, general equilibrium, welfare, mechanism design, and contract theory. Classical microeconomics is rigorously contained within the new framework as the correspondence-principle limit of zero entanglement, decoherence, and pure states.
The argument unfolds bottom-up across six parts and thirty chapters. Part I, Quantum Rationality, starts from the crisis of the rational-choice paradigm, rebuilds the axioms of rationality with non-distributive lattices and non-commutative preferences, and gives a rigorous theorem representing preferences by density matrices. Part II, Quantum Choice, rebuilds demand, uncertainty, intertemporal, and production theory on this basis. Part III, Quantum Interaction, develops tensor-product games, quantum Nash equilibrium, correlated equilibrium, repeated games, and evolutionary games, and is the book's most original section. Part IV, Quantum Exchange and Markets, proves the existence and properties of quantum general equilibrium and redefines price as the outcome of decentralized measurement. Part V, Quantum Collectivity, handles welfare, social choice, public goods, mechanism design, and contracts and auctions. Part VI, Quantum Evidence and Frontiers, requires theory to confront data, covering quantum decision experiments, structural econometrics, network and platform economics, and the quantum unification of behavioral economics.
The writing is guided by three ambitions. The first is axiomatic thoroughness: it is not content with patching classical assumptions one by one, but starts from the more general logic of quantum probability so that classical conclusions are re-derived as theorems rather than assumed as premises. The second is mathematical rigor: representation theorems, equilibrium existence, physical bounds on entanglement, and fixed-point conditions all receive complete proofs, and every numerical example has been checked by computer. The third is empirical testability: each quantum model states explicitly its observable differences from the classical model and gives an experimental identification strategy, so that the theory is open to falsification.
This book is aimed at master's and doctoral students in economics and related fields, and is also suited to readers interested in decision science, game theory, and quantum cognition. It presumes intermediate microeconomics and some linear algebra and probability; the formal language of quantum mechanics is introduced step by step where it is needed, with no prior physics assumed.
The argument unfolds bottom-up across six parts and thirty chapters. Part I, Quantum Rationality, starts from the crisis of the rational-choice paradigm, rebuilds the axioms of rationality with non-distributive lattices and non-commutative preferences, and gives a rigorous theorem representing preferences by density matrices. Part II, Quantum Choice, rebuilds demand, uncertainty, intertemporal, and production theory on this basis. Part III, Quantum Interaction, develops tensor-product games, quantum Nash equilibrium, correlated equilibrium, repeated games, and evolutionary games, and is the book's most original section. Part IV, Quantum Exchange and Markets, proves the existence and properties of quantum general equilibrium and redefines price as the outcome of decentralized measurement. Part V, Quantum Collectivity, handles welfare, social choice, public goods, mechanism design, and contracts and auctions. Part VI, Quantum Evidence and Frontiers, requires theory to confront data, covering quantum decision experiments, structural econometrics, network and platform economics, and the quantum unification of behavioral economics.
The writing is guided by three ambitions. The first is axiomatic thoroughness: it is not content with patching classical assumptions one by one, but starts from the more general logic of quantum probability so that classical conclusions are re-derived as theorems rather than assumed as premises. The second is mathematical rigor: representation theorems, equilibrium existence, physical bounds on entanglement, and fixed-point conditions all receive complete proofs, and every numerical example has been checked by computer. The third is empirical testability: each quantum model states explicitly its observable differences from the classical model and gives an experimental identification strategy, so that the theory is open to falsification.
This book is aimed at master's and doctoral students in economics and related fields, and is also suited to readers interested in decision science, game theory, and quantum cognition. It presumes intermediate microeconomics and some linear algebra and probability; the formal language of quantum mechanics is introduced step by step where it is needed, with no prior physics assumed.
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